Pedagogical Anthropology

CHAPTER X

Chapter 2130,690 wordsPublic domain

THE APPLICATION OF BIOMETRY TO ANTHROPOLOGY FOR THE PURPOSE OF DETERMINING THE MEDIAL MEN

_Theory of the Medial Man._--_Measurements_ are used not only in anthropology but in zoology and botany as well; that is, they are applied to all living creatures; therefore anthropometry might to-day be regarded as a branch of _biometry_. The measurements obtained from living beings, and the statistical and mathematical studies based upon them, tend to determine the _normality_ of characteristics; and when the biometric method is applied to man, it leads to a determination of the normal dimensions, and hence of the _normal_ forms, and to a reconstruction of the _medial man_ that must be regarded as the man of perfect development, from whom all men actually existing must differ to a greater or less extent, through their infinite normal and pathological variations.

This sort of touch-stone is of indisputable scientific utility, since we cannot judge of _deviations_ from the norm, so long as normality is unknown to us. In fact, when we speak of normality and of anomalies, we are using language that is far from exact, and to which there are no clear and positive corresponding ideas.

Whatever has been accomplished in anthropology up to the present time in the study of the morphology of degenerates and abnormals, has served only to illustrate this principle very vaguely--that the _form_ undergoes alteration in the case of pathological individuals. It is only now that we are beginning to give definite meaning to this principle, by seeking to determine what the _form_ is, when it has not undergone any alteration at all. From this fundamental point a new beginning must be made, on more certain and positive bases, of the study of _deviations from normality_ and their etiology.

As far back as 1835, Quétélet, in his great philosophical and statistical work, _Social Physics or the Development of the Faculties_ _of Man_, for the first time expounded the theory of the "medial man," founded on statistical studies and on the mathematical laws of errors. He reached some very exact concepts of the morphology of the medial man, based upon measurements, and also of the intellectual and moral qualities of the medial man, expounding an interesting theory regarding _genius_.

But inasmuch as Quétélet's _homme moyen_ was, so to speak, at once a mathematical and philosophical reconstruction of the _non-existent perfect man_, who furthermore could not possibly exist, this classical and masterly study by the great statistician was strenuously combatted and then forgotten, so far as its fundamental concepts were concerned, and remembered only as a scientific absurdity. The thought of that period was too analytical to linger over the great, the supreme synthesis expounded by Quétélet.

Mankind must needs grow weary of anatomising bodies and tracing back to origins, before returning to an observation of the whole rather than the parts, and to a contemplation of the future. In fact, the thought of the nineteenth century was so imbued with the evolutionary theories as set forth by Charles Darwin, that it believed the reconstruction of the _Pithecanthropus erectus_ from a doubtful bone a more positive achievement than that of the _medial man_ from the study of millions of living men.

But to-day the researches that we have accomplished in the biological field regarding evolution, regarding natural heredity, regarding individual variability, are leading biology as a whole toward eminently synthetic conclusions; and studies which remained neglected or which were combatted in the past, are beginning to be brought into notice and properly appreciated: such studies, for instance, as Mendel's theory and that of Quétélet. Galton, Pearson, Davenport, Dunker, Heinke, Ludwig, and above all others De Vries, are in the advance guard of modern biological thought. But beyond all these scientists, there is one who has an interest for us not only because he is an Italian, but because he has reestablished Quétélet's ancient theory of the _medial man_, under the present-day guidance of biometry: I mean Prof. Giacinto Viola.

_The Importance of Seriation._--Under the statistical method, the basis of biometry is furnished by a regrouping of measurements in the form of series. We have seen that Quétélet's binomial curve represents the symmetrical distribution of subjects in relation to some one central anthropometric measurement.

Let us suppose, for instance, that the curve here described represents the distribution of the stature. If we mark upon the abscissæ the progressive measurements, 1.55; 1.56; 1.57; 1.58; 1.59; 1.60, etc.... 1.75; 1.76; 1.77; 1.78; 1.79; 1.80, and on the axis of the ordinates the number of individuals having a determined stature, the path of the curve will show that there is a majority of individuals possessing a mean central measurement; and that the number of individuals diminishes gradually and symmetrically above and below, becoming extremely few at the extremes (exceptionally tall and low statures). When the total number of individuals is sufficiently large, the curve is perfect (curve of errors): Fig. 156.

In such a case, the _general mean_ coincides with the _median_, that is, with the number situated at the centre of the basal line, because, since all the other measurements, above and below, are perfectly symmetrical, in calculating the mean average they cancel out. There is still another centre corresponding to the mean: the _centre of density_ of the individuals grouped there, because the maximum number corresponds to that measurement. Accordingly, if, for example, in place of half a million men whose measurements of stature, when placed in seriation, produced a perfect binomial curve, we had selected only ten men or even fewer from those corresponding to the median line; the general mean stature obtained from those half million men and that obtained from the ten individuals would be identical. For we would have selected _ten individuals_ possessing that mean average stature which seems to represent a _biological_ _tendency_, from which many persons deviate to a greater or less extent, as though they were erroneous, aberrant, for a great variety of causes; but these aberrant statures are still such that by their excess and their deficiency they perfectly compensate for each other; so that the mean average stature precisely reproduces this _tendency_, this centre actually attained by the maximum number of individuals. Supposing that we could see together all these individuals: those who belong at the centre being numerically most _prevalent_, will give a definite _intonation_ to the whole mass. Anyone having an eye well trained to distinguish differences of stature could mentally separate those prevalent individuals and estimate them, saying that they are of _mean_ _average stature_. This curve is the mathematical curve of errors; and it corresponds to that constructed upon the exponents of Newton's binomial theorem and to the calculation of _probability_. It corresponds to the curve of errors in mathematics: for example, to the errors committed in measuring a line; or in measuring the distance of a star, etc. Whoever takes measurements (we have already seen this in anthropometrical technique and in the calculation of personal error) commits errors, notwithstanding that the _object to be measured_ and the individual making the measurements remain the same. But the most diverse causes; nerves, the weather, weariness, etc., causes not always determinable and perhaps actually more numerous than could be discovered or imagined, all have their share in producing errors of too much and too little, which are distributed in gradations around the real _measurement_ of the object. But since among all these measurements taken in the same identical way we do not know which is the true one; the seriation of errors will reveal it to us, for it causes a maximum number of some one definite measurement (the true one) to fall in the centre of the aberrations that symmetrically grade off from the centre itself.

Viola gives some very enlightening examples in regard to errors. Suppose, for instance, that an artist skilled in modeling wished to reproduce in plaster a number of copies of a leaf, which he has before his eyes as a model.

The well-trained eye and hand will at one time cause him to take exactly the right quantity of plaster needed to reproduce the actual dimensions of the leaf; at another, on the contrary, he will take more and at another less than required.

By measuring or superimposing the real leaf upon the plaster copies, the sculptor will be able to satisfy himself at once which of his copies have proved successful.

But supposing, on the contrary, that the real leaf has disappeared and that a stranger wishes to discover from the plaster copies which ones faithfully reproduce the dimensions of the leaf? They will be those that are numerically most prevalent.

The same thing holds true for any attempt whatever to attain a _predetermined object_. For example, shooting at a mark. A skilful marksman will place the maximum number of shots in the centre, or at points quite near to the centre; he will often go astray, but the number of errors will steadily decrease in proportion as the shots are more aberrant, _i.e._, further from the centre. If a marksman wished to practise in like manner against some wall, for example, on which he has chosen a point that is not marked, and hence not recognisable by others, this point _thought_ of by the marksman, may be determined by studying the cluster of shots left upon the wall.

In the same way an observer could determine the hour fixed for a collective appointment, such as a walking trip, by the manner in which the various individuals arrive in groups; some one will come much ahead of time because he has finished some task which he had expected would keep him busy up to the hour of appointment; then in increasing numbers the persons who come a few minutes ahead of time because they are provident and prompt; then a great number of people who have calculated their affairs so well as to arrive precisely on time; a few minutes later come those who are naturally improvident and a little lazy; and lastly come the exceptional procrastinators who at the moment of setting forth were delayed by some unexpected occurrence.

Causes of error in the individual and in the environment interfere in like manner with the astronomer who wishes to estimate the distance of the stars and it is necessary for him to repeat his measurements and calculations on the basis of those which show the greatest probability of being exact.

Accordingly, such _distribution_ of errors is _independent_ of the causes which produce them and which, whatever they are, remain practically the same at any given time, and consequently produce constant effects and symmetrical errors; but it is dependent upon the fact of the existence of some pre-established thing (a measurement, the dimensions of an object to be copied, an appointed hour, the centre of a target, etc.). In short, whenever a _tendency_ is established the _errors_ group themselves around the objective point of this tendency.

In the case of anthropometry, as for instance, in the curve of stature given above, we find that the resulting medial stature was _predetermined_, _e.g._, _for a given race_; but many individuals, for various causes, either failed to attain it or surpassed it to a greater or less extent; and therefore in the course of their development they have acquired an erroneous stature.

Consequently, this medial stature which still corresponds to the mean average of a very large number of persons, is the stature that is biographically pre-established, the normal stature of the race.

If we select individuals presumably of the same race and in sound health, the serial curve of their statures ought to be very high and with a narrow base, because these individuals are _uniform_. When a binomial curve has a _very wide_ basis of oscillations in measurements, it evidently contains elements that are not uniform; thus, for example, if we should measure the statures of men and women together, we should of course obtain a curve, but it would be very broad at the base and quite low at the centre of density; and a similar result would follow if we measured the statures of the rich and the poor without distinguishing between them. Since normal stature, including individual variations, has an exceedingly wide limit of oscillation (from 1.25 m. to 1.99 m.), if we should measure all the men on earth, we should obtain a very wide base for our binomial curve, which nevertheless would have a centre of density corresponding to the median line and to the general mean average.

Now this mean stature, according to Quétélet, is the mean stature of the European; and it is that of the _medial man_. But if we should take the races separately, each one of them would have its own binomial curve, which would reveal the respective mean stature for each race. In the same way, if we took the complex curve of all the individuals of a single race, and separated the men from the women, the two resulting groups would reveal the _mean average male stature_ and the _mean average female stature_ of the race in question. An analogous result would follow if we separated the poor from the rich, etc.

Every time that we draw new distinctions, the base of the curves, or in other words the limits of oscillation of measurements, will contract, and the _centre of density_ will rise; while the intermediate gradations (due, for example, to the intermixture of tall women and short men; or to the overlapping standards of stature of various kindred races, etc.), will diminish. In short, if we construct the binomial curve from individuals who are uniform in sex, race, age, health, etc., it not only remains symmetrical around a centre but the eccentric progression of its groups is steadily determined in closer accordance with the order and progression of the exponents Of Newton's binomial.

However, a _symmetrical grading off_ from the centre is not the same thing as a symmetrical grading off from the centre _in a predetermined_ _mode_, _i.e._, that of the binomial exponents. The binomial symmetry is obtained through calculations of mathematical combinations. Now, if the _fact_ of the centrality of a prevailing measurement is to be proved in relation to the predetermination of the measurement itself: for example, in regard to _racial heredity_, and hence is a fact that reveals _normality_, the manner of distribution of errors--namely, in accordance with calculations of _probability_--might very well be explained by Mendel's laws of heredity, which serve precisely to show how the prevailing characteristics are distributed according to the mathematical calculation of probabilities.

Accordingly, the _normal characteristic of race_ would coincide with the dominant characteristic of Mendel's hereditary powers. The characteristic which has been shown as the stronger and more potent is victorious over the recessive characteristics that are latent in the germ. Meanwhile, however, there are various errors which, artificially or pathologically, cause a characteristic, which would naturally have been recessive, to become dominant, or, in other words, most prevalent.

Whenever a binomial curve constructed from a large number of individuals is found to be eccentric; and shows, _e.g._, in the case of stature, a deviation toward the low statures, it reveals (see De Helguero's curves) the presence of a heterogeneous intermixture of subjects, for example, of children among adults, or, as in the case demonstrated by De Helguero, an intermixture of _pathological individuals_ with normal persons (Fig. 157).

The binomial curve obtained by De Helguero from the inhabitants of Piedmont included, as a matter of fact, a great number of _cretins_; they formed within the great normal mass of men, a little mass of individuals having a stature notably inferior to the normal.

By correcting the eccentric curve on the left of the accompanying figure, and by tracing a dotted line equal and symmetrical to the right side, we obtain a normal binomial curve; well, this curve will actually be reproduced if we subtract all the cretins from the whole mass of individuals.

The section distinguished by parallel lines represents that portion of the curve which departs from the normal toward the low statures, and is due to the cretins; it may be transformed into a small dotted binomial curve at the base, which is constructed from the statures of the cretins alone.

Accordingly, the symmetrical binomial curve gives us a _mean_ _average value_ in relation to a specified measurement.

What has been said regarding stature serves as an example; but it may be repeated for _all the anthropometric measurements_, as Viola has proved by actual experiment.

The sitting stature, the thoracic perimeter, the dimensions of an entire limb or of each and every segment of it; every particular which it has seemed worth while to take into consideration, comports itself in the same manner; and this is also true of all the measurements of the head and face.

That is to say, if we make a seriation of measurements relating to the sitting stature of an indeterminate number of individuals, we find a numerical prevalence of those corresponding to the medial measurement marked upon the axis of the abscissæ; and the number of individuals will continue to decrease with perceptible symmetry on each side of the centre, _i.e._, toward the higher and lower statures. If we take into consideration the significance of the sitting stature, this binomial curve relates to individuals who possess a normal physiological mass (the bust; centre of density) and to individuals who fall below or exceed that mass. We have already, in speaking of the types of stature, taken the bust under consideration in relation to the limbs, in order to judge the more or less favourable reciprocal development; but here we obtain an _absolute datum of normality_, independent of proportional relations to the body as a whole; _in other words, there_ _exists a physiological mass_ for the human body which is _normal_ in itself. The individuals whose sitting stature corresponds to the medial measure of the binomial curve, are precisely those who have the normal development of bust.

The same thing repeats itself in the case of the thoracic perimeter, or the weight, or the length of the leg, or the cranial circumference, etc.

Hence we have a means of obtaining the _normal medial measurements_ by the seriation of a number of measurements actually obtained from living individuals the number of whom should be sufficiently large to enable us to construct a perceptibly symmetrical and regular binomial curve.

Such medial measurements, although they correspond to the true mean average (as we have already seen), are not for this reason _unreal_, like arithmetical means which represent a synthetic entirety that does not correspond to the single individuals actually existing; the medial measurements obtained by seriation are, on the contrary, measurements that really belong to living individuals; namely, to that group of individuals that possess this particular measurement. Therefore, it is not a combination, or fusion, or abstraction.

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But individuals who have one medial measurement, do not necessarily have all the other medial measurements; that is to say, the individuals who find that they belong on the medial abscissæ in relation to stature, do not find themselves similarly placed in relation to the sitting stature, or the thoracic perimeter, or the weight, or the cranial circumference, etc. Indeed, it is _impossible_ that all the bodily measurements of the same individual should be _medial measurements_: or, to express it better, there has not been found up to the present among living individuals, in the whole wide world, a man so constructed.

Such a man would represent anthropologically the _medial man_.

It is also very rare to find a man quite lacking in medial measurements: everyone has a few central measurements and certain others that are eccentric.

At the same time it must be admitted that there are men who have many, and even a large majority, of the central measurements; while the rest of their measurements are eccentric or paracentral.

One of the objections which used to be made was that if we should wish to unite all the medial measurements, they would not fit together, or rather, that a man could not be constructed from them; but that the result would be a monstrosity. Nevertheless, this assertion or objection has proved to be absolutely fantastic and contrary to the actual fact.

Professor Viola has observed that men who have a very large number of medial measurements are singularly _handsome_.

More than that: the medial man reconstructed from medial measurements really gathered from living persons, has the identical proportions of the famous statues of Greek art.

Here, for example, in Figs. 158 and 159, facing page 464, we have the medial man and the Apollo; even to the eye of the observer, they show a marked similarity in proportions. The medial man is very nearly the portrait of an exceedingly handsome young Roman, studied by Viola; this person possessed a great majority of the mean average measurements; but some of his measurements did not correspond to the normal averages, and accordingly Viola had them corrected by an artist under the guidance of anthropological biometry; and the figure thus corrected is represented in the drawing here given. Well, this drawing corresponds perfectly to the proportions of the Apollo.

Consequently, the mean average measurements do not pass unnoticed; it is not alone the anthropological instrument or mathematical reconstruction that reveals them; when presented to the eye of the intelligent man, they _notify him that_ they exist, they arouse in him an _æsthetic emotion_, they give him the alluring impression of the _beautiful_.

When the mean average measurements are found accumulated in large numbers in the same person, they render that person the centre of a mysterious fascination, the admiration of all other men.

Now, this coincidence of the _beautiful_ with the average is equivalent to a coincidence of the beautiful with _normality_. "This unforeseen demonstration," says Viola, "throws a vivid light upon the hitherto obscure problem of the æsthetic sense.... If a man evolves according to normal laws, his proportions arouse an exceptional æsthetic enjoyment."

Anyone having an eye trained to recognise the _beautiful_, is able through his æsthetic sensations, to pick out _normality_ from the great crowd of biological errors, which is precisely what the scientist does with great weariness of measurements and calculations. In fact, the great artists recognise the _beautiful parts_ of a number of beautiful individuals, and they unite them all together in a single work of art. The Greeks did this, they reconstructed the medial man, on a basis of actual observation, and by extracting all the normalities, all the measurements most prevalent in individuals, and forming from them a single ideal man. The Greek artists were observers; we might call them the positivists in art. Their art is supreme and immortal, because they simultaneously interpreted what is _beautiful_ and what is _true_ in life.

In short, medial measurements are true measurements, actually existing in individuals. No one can acquire a true æsthetic taste by contemplating works of art. The æsthetic sense is trained and refined by observing the truth in nature and by learning to separate instinctively the normal from the erroneous.

No other form of art reproduces the _subject_ so faithfully as the Greek; medieval and modern artists have incarnated their own personal inspiration, without training themselves to that accurate observation which refines the sense of the _beautiful_, when we are in the presence of the _truth_, represented by normality, which is the triumph of life.

Accordingly, we may reconstruct the _medial man_ from the truth as found in nature. Within the wide scale of individual variations we pass from men possessing few medial measurements (ugly men) to men possessing many of them (handsome men), and even a majority of such measurements (extremely handsome). Our sensation in the presence of the ugly man is repulsion, _biological_ _pain_; in the presence of the handsome man we feel an æsthetic contentment, _biological pleasure_. In this way we take part in the mysterious failures and triumphs of nature, as children in the great family of life.

Now, as Viola says, the individual variations that group themselves symmetrically around the medial measurement may be divided into _groups_ or _types_, _e.g._, central, paracentral and eccentric, both above and below the mean.[49] Such types are considered by Viola chiefly from the _pathological_ point of view, or rather, that of the _physical constitution_ and relative predisposition to disease. It is only the central type that has such perfect harmony of parts as to embody the perfection of strength and physical health; as the type diverges from the centre, it steadily loses its power of resistance and becomes less capable of realising a long life.

Since the measurements are extremely numerous, it is necessary, in order to proceed to a separation of types, to select some one measurement to be regarded as fundamental, and in respect to which all others have a secondary importance; and such a measurement is found in the one which is associated with the development of the physiological man; namely, the _sitting stature_. In the centre there is the medial measurement; little by little, as we withdraw from the centre, we approach on the one side toward macroscelia and on the other side toward brachyscelia. It is possible to determine to within a millimetre the _normality_ of any measurement whatever. When this fundamental datum has once been accepted as a _basis_ for the construction of _types_, let us assume that we next add another and secondary measurement; for instance, that of the lower limbs. By the method of seriation we obtain a measurement that is _absolutely normal when considered by itself_; it is the central measurement. A perfectly formed and healthy man ought to possess both the medial sitting stature and the medial length of lower limbs; in actual cases, however, it is difficult to find so favourable a union, and the two series of measurements _combine_ in various ways; showing a tendency, however, to unite in such a way that a short bust goes with long legs, and _vice_ _versa_. The degree to which this rule is carried out produces two types that steadily tend to become more eccentric; they are the macroscelous and brachyscelous types, or, as De Giovanni calls them, _morphological combinations_. We have only to calculate the _type of stature_, and that also groups itself according to the binomial curve; and thus gives us a gradation of the _combinations of parts_. Viola notes that the paracentral individuals show characteristics quite different from those of the eccentrics; their constitution is more favourable, and they differ in respect to their characteristic proportions between thorax and abdomen, and in certain other physiological particulars that are of pathological importance.

In this way a _method_ has been built up for determining mathematically the one absolute normality; as well as the anomalies in all their infinite variety, which may, however, be regrouped under _types_, on the basis of their eccentricities.

Here then we have, thanks to Viola, and under the guidance of the glorious school of De Giovanni, a pathway indicated, that is exceedingly rich in its opportunities for research, and that may advance the importance of anthropometry side by side with that of biometry, the development of which is to-day so earnestly pursued, especially in England.

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One of the objections which may be raised to the theory of the medial man is that there cannot be any one perfect, human model because of the diverse races of mankind, each with its own established biological characteristics.

For instance, I believe that I have proved that what we consider as _beautiful_ is distributed among _different races_; in other words, perfect beauty of all the separate parts of the body is never found united in any one race, any more than it is in any one person.

The women of Latium who are dark and dolichocephalic have most beautiful faces, but their hands and feet are imperfect; the brachycephalic blondes, on the contrary, are coarse-featured, while their hands and feet are extremely beautiful. The same may be said regarding their breasts and certain other details. Furthermore, the stature of the dolichocephalics is too low as compared with what is shown to be the _average stature_, while the brachycephalics are similarly too tall. Nevertheless, it is _extremely_ _difficult_ to discover racial types of such comparative purity as to establish these differences: it was by a lucky chance that I succeeded in tracing out, at Castelli Romani and at Orte, certain groups of the races that were very nearly pure. The rest of the population are, for the most part, hybrids showing a confused intermingling of characteristics.

In fact, pure _types of race_ no longer exist, least of all where civilisation is most intense. In order to speak of _types of race_, it is necessary to go among barbaric tribes; and even this is a relative matter, because all the races on earth are more or less the result of intermixture. Yet in civilised countries an occasional group of pure racial stock may be discovered in isolated localities, as though they had found refuge, so to speak, from the vortex of civilisation which is engulfing the races. Throughout the history of humanity we may watch this absorption of racial and morphological characteristics, and the formation of more and more intimate intermixtures, leading to the final disappearance of the original _types of_ _race_.

When a primitive race emigrated, when men crossed over from Africa to the European coast of the Mediterranean, or Aryans from oriental Asia traversed the mountains and steppes of Russia and the Balkan countries, they were on their way to conquer territory and to subjugate peoples, but they were also on their way to lose their own type, the characteristics of their race. Yet even this sacrifice of _race_ was not without compensation: indeed, it seems as though the _race_ loses through hybridism a large part of its _ugly_ characteristics, but retains and transmits for the most part the characteristics that are pleasing. Unquestionably, the more civilised peoples are better looking than the barbarians, although the history of emigration would seem to indicate an almost common racial origin.

When we remember that in human hybridism the result is not always a true and complete _fusion_ of characteristics, but for the most part an intermixture of them--so that, for example, the hybrid has the type of cranium belonging to one race, and the stature belonging to another race--we have the explanation of the fact that throughout thousands of years certain morphological characteristics have remained fixed, to such an extent as to permit anthropologists to use them as a basis upon which to trace out the origins of races. But these characteristics, while fixed in themselves, are _interchanged_ among individual hybrids, who form more or less felicitous _combinations_ of characteristics belonging to several races.

When we recall what was said in this regard concerning heredity (general biological section) it is necessary to conclude that Mendel's law must be invoked to explain the phenomenon.

Human hybridism, like all hybridism throughout the whole biological field, falls under this law.

But there is still another phenomenon that should be noted: civilised men, who are the most hybrid of all hybrids upon earth, have formed a _new type_ that is almost unique, the _civilised race_, in which one and all resemble one another. It is only logical to believe that, in proportion as facilities of travel become easier and intermarriage between foreign countries more widespread, it will become less and less easy to distinguish the Englishman from the Frenchman, or the Russian or the Italian; provided that the various hybridisms in the respective countries have developed an almost uniform local type, so that the general characteristics of French hybridism may be distinguished from those of English hybridism, etc.

Even these local hybrid types, determining, as it were, the physiognomy of a people, will disappear when Europe finally becomes a single country for civilised man.

In short, we are spectators of this tendency: a fusion or intermixture of characteristics that is tending to establish one single human type, which is no longer an original racial type, but the _type of civilisation_. It is the unique race, the _resultant human_ _race_, the product of the fusion of races and the triumph of all the elements of beauty over the disappearance of those ugly forms which were characteristic of primitive races.

Are the dominant forces in the human germinative cells those which bring a contribution of beauty? One would say "yes," on the strength of the morphological history of humanity.

There is no intention of implying by this that humanity is tending toward the incarnation of perfectly beautiful human beings, all identical in their beauty; but they will be harmonious in those skeletal proportions that will insure perfect functional action of their organism. Harmony is fundamental; the soft tissues, the colour of hair and eyes, may upon this foundation give us an infinite _variety_ of beauty. "Even in music," says Viola, "so long as the laws of harmony are respected, there are possibilities of melodic thoughts of infinite beauty in gradation and variety; but the first condition is that the aforesaid laws shall be respected."

The soft and plastic tissues are like a _garment_ which may be infinitely varied: because life is richer in normal forms than in abnormal; richer in triumphs than in failures; and hence more impressive in the varieties of its beauties than in its monstrosities.

Such philosophic concepts of the _medial man_ are exceedingly fertile in moral significance. The ugly and imperfect races have gone on through wars, conquests, intellectual and civil advancement unconsciously preparing new intermarriages and higher forms of love, which eliminated all that is harsh and inharmonic, in order to achieve the triumph of human beauty. In fact, quite aside from the heroic deeds of man, the constructor of civilisation, we are witnessing the coming of the unique man, the man of perfect beauty, such as Phidias visioned in a paroxysm of æsthetic emotion.

A living man who incarnates supreme beauty, supreme health, supreme strength: almost as though it were Christ himself whom humanity was striving to emulate, through a most intimate brotherhood of all the peoples on earth.

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On the analogy of the medial morphological man, Quétélet also conceived of the _medial intellectual man_ and the _medial moral_ _man_.

The medial intellectual man is closely bound to the thoughts of his century; he incarnates the prevailing ideas of his time; he vibrates in response to the majority. He is to his nation and century, says Quétélet, "what the centre of gravity is to the body--namely, the one thing to be taken into consideration in order to understand the phenomena of equilibrium and movement." Considered from the ideal side, the medial man ought to centralise in himself and keep in equilibrium the movement of thought of his period, giving it harmonic form, in works of art or of science. And it is the capacity for accomplishing this work of synthesis that constitutes the _inborn quality_ in the man of genius.

He does not create; he reassembles in one organism the _scattered_ _members_, the medial vibrations of the crowd; he feels and expresses all that is new and beautiful and great that is in process of formation in the men who surround him, who are frequently unconscious of the beauty which is in them, just as they are unconscious of having those normal predetermined measurements of their bodies. But whenever they discover in a creation of thought _something of themselves_, they are stirred to enthusiasm at recognising this something belonging to them as forming part of a harmonious whole: and they applaud the work of art or of science which has stirred their enthusiasm. The medial intellectual man who has produced it is a beneficent genius to humanity because he aids its upward progress by appealing to the better part in each individual.

Now, there has never existed a medial intellectual man who sums up all the thought of his time: just as there does not exist a living man so beautiful as to incarnate all the medial measurements. But the man of genius is he who does embody the greater part of such ideas: and he produces a masterpiece when he succeeds in shedding his own individuality in order to assume what is given him from without. Goethe said that it was not he who composed _Faust_, but a spirit which invaded him. And the same thought is expressed in the autobiographies of many men of genius.

A well-known writer told me that it sometimes happened to him, while he was writing, to forget himself completely; at such times he no longer wrote the truth as he saw and felt it consciously, but transmitted pure and unforeseen inspiration.

Such portions, said this author, are judged by the public as containing the greatest degree of beauty and truth.

When a great orator thrills a crowd, he certainly does nothing more than repeat what is already in the thoughts of each member of that crowd; every individual present had, as it were, in his subconsciousness, the same thought that is expressed by the orator, which was taking form within him but had not yet _matured_ and which he would not have had the knowledge or the ability to express. The orator, as it were, matures and extracts from him that new thought which was taking shape within him; his better part, which after light is shed upon it will have the power to elevate him. But no orator could ever persuade a crowd with ideas that do not already exist in that crowd, and which consequently, are not part of the truth of their age.

The orator is like the centre of gravity, inasmuch as he gives form and equilibrium to the scattered and timid thought of the crowd.

Carducci[50] says "the art of the lyric poet consists in this: to express what is common to all in the form in which he has created it anew and specially in his mind; or rather to give to the thought which is peculiar to himself an imprint of universal understanding, so that each one looking into it may recognise himself."

* * * * *

When we think of the brilliant concept of the medial man, we behold a fundamental and profound principle: the necessity of hybridism and consequently of a profound intermixture of races; all of which goes side by side with the spread of civilisation, and the increased facilities of traveling and of communication between different communities. Connected with these material advantages is the moral progress which leads to a realisation of perfect brotherhood between men that is rendered steadily more possible by environment, and is sanctioned little by little by laws and customs; whereas at the start it was only an ethical or mystical theory.

While the physical formations of the races are becoming merged, the racial customs are also blending and disappearing in a single civilisation, in one sole form of thought. If, at one time, the powerful race was the one united to its territory, faithful to its customs, adhering to its moral code and its religion, all this melts away in the presence of universal hybridism which actually means the birth of a new generation of men and a new outlook upon life.

When we contemplate the morphologically medial man, he seems to stand as a symbol of unlimited universal progress. His realisation seems to demand very lofty standards of morality and civilisation.

Whereas, on the contrary, the survival of types and of customs and sentiments peculiar to separate races, is the expression of local conditions that are inferior both in morality and in civil progress. As for the innumerable _paracentral errors_ which form to-day a large proportion of individual varieties, they are due directly to the imperfection of the environment, which does not permit of the natural development of human life, and consequently interferes through a wide range of methods and degrees with the development of ideal normality.

Hence, the extreme eccentric errors are the consequence of diseases and far-reaching social imperfections which lead to genuine deviations from the normal, including _pathological_ and _degenerate malformations_, and associated with them the lowest forms of individual degradation, both intellectual and moral.

All the paracentral errors and malformations are a physical burden which retards the perfectionment of man. Admitting that hybridism will eventually result in complete beauty, it will be greatly delayed in its attainment through the accumulation of errors that surround the characteristics of race. They form a heavy ballast, if the phrase may be permitted, that impedes the progress of its ascension.

Consequently, the long awaited social progress which is gradually bringing about the "brotherhood of man" is not in itself sufficient for the attainment of the ideal mean.

There are certain errors that must more or less necessarily be encountered along the pathway of humanity; and that act either directly or indirectly upon posterity, deforming and destroying its resistance to life; and it is these that must be taken under consideration, because they delay the normal progress of human society.

They are conscious and well recognised errors; hence up to a certain point the _active_ agency of man may combat them and succeed little by little in mitigating them and overcoming their disastrous influence upon biological humanity.

There are, in general, two influences developing and promoting that improvement which leads toward the _medial man_: in proportion as the real and practical intermarriage of races approaches its realisation, social errors diminish; and as the brotherhood of humanity is promoted, it leads to social reforms by which the "sins of the world" are little by little overcome.

But these may also be _actively_ combated; and in this direction education has a task of inestimable importance to civilisation. We ought to know not only the thought of our century, which is the luminous torch in the light of which we advance along the path of progress; but also the _moral needs_ of our time, and the errors which may be conquered through our conscious agency.

To know "the faults of our century," which are destined to be conquered in the coming century, and to make preparation for the victory--such is our moral mission. The ethical movement of human society has continued to advance from conquest to conquest, and in looking backward the more civilised part of mankind have been horrified at the conditions that have been outgrown and have called them "barbarous."

Thus, for example, slavery was an unsurmountable obstacle to progress, and had to be crushed out by civilisation; the license to _kill_ is also a form of barbarism which to-day we are boasting of having just outgrown--or, at least, of having reached the final limit of its duration. In early times it was not only permissible to kill, but in many of its forms murder was considered honourable, as, for instance, in wars and in duels; it was also one form of justice to kill for vengeance, either social or individual; the condemnation to death of a criminal, the murder of an adulterous wife, the murder of anyone who has attacked the _honour_ of the family, all this seemed just in the past. Lastly, murder was committed for pure diversion, as in the auto-da-fè and in the games of the circus.

Our civic morality seems to have attained its extreme altitude in having sanctioned the inviolability of human life; and the present-day struggle against the death penalty, against war, against revolutions, against uxoricide, in the case of adultery, and against duelling, shows us the triumph of a new and loftier conception of humanity in the upward progress of man.

The intermixture of races and the intermingling of national interests, have aroused a sort of collective sentiment actually existing as a normal form of conscience, namely, "human solidarity."

But we are still in a state of complete _barbarity_, still sunk in the most profound unconsciousness, all of us partners in the same great sin that threatens the overthrow of so-called civilised humanity; namely, _barbarity toward the species_.

We are ignorant, we are almost strangers, in regard to our _responsibility_ toward those who are destined to issue from us as the continuation of humanity downward through the centuries; those who form the ultimate scope of our biological existence, inasmuch as each one of us is merely a connecting link between certain portions of past and future life. We are all so engrossed with the progress of our environment and of the ideas embodied in it, that we have not yet turned our attention inward toward ourselves: toward _life_.

This solidarity which we recognise as existing among men at the present moment, ought to be extended to the men of the future. And since the species is closely bound up in the individual who is destined to reproduce it, this gives us at once the basis for a code of _individual moral conduct_, such as would assure to everyone the integrity of the fruit of his own reproduction. Sexual immorality which is the stigma of the barbarity of our times, entails the most ignominious form of slavery; the slavery of women through prostitution. And emanating from this form of barbarity, the slavery has expanded and spread to all women, more or less oppressive, more or less conscious. The wife is a slave, for she has married in ignorance and has neither the knowledge nor the power to avoid being made the instrument for the birth of weakly, diseased or degenerate children; and still more deeply enslaved is the mother who cannot restrain her own son from degradations that she knows are the probable source of ruin of body and soul. We are all silently engaged in an enormous crime against the species and against humanity; and like accomplices we have made a tacit agreement not to speak of it. Indeed, the mysterious silence regarding sexual life is absolute; it is as though we feared to compromise ourselves in the sight of that great and powerful judge, our own posterity; we hide under an equal silence the good and the bad in relation to sexual life. This sort of terror goes by the name of shame and modesty. Such an excuse for silence certainly sounds like pure irony, coming as it does in the full midst of the orgy, at a time when we all know that every man is laden with his sins, and that we are all either accomplices or slaves in the common fault. It would seem that a race so modest as to blush at the mere mention of sexual life ought to be eminently chaste, and far removed from the age of foundling asylums and houses of ill fame; the age in which infanticide exists as proof of absolute impunity in regard to sexual crimes.

What we call shame and modesty, is in reality not shame or modesty in regard to sexual acts and phenomena, but only in regard to sins against them.

These acts and phenomena, being directly related to creation and the eternity of the species, ought to be regarded by men as in the nature of a lofty religious culte, equally, for instance, with that which from the earliest prehistoric times placed the symbol of maternity, _the mother and the child_, side by side with the _scythe_, symbol of labour, in places of worship. We cannot admit that _love_, sung by the poets as a divine sentiment, is the moral exponent of unworthy and shameful acts. It is the error, the perversion of sexual life, the source of degeneration, of degradation and of the death of the species, that makes us keep silent, conceal and blush with shame.

In reality, all this ought to stir us, not to embarrassment and shame, but to a formidable rebellion, a sharp awakening of conscience, a redemption from a state of inferior civilisation.

It was a barbarous sovereign who, in the delusive hope that it would cure him of eczema, caused the throats of little children to be cut, so that he might immerse himself in the warm bath of their blood.

To-day anyone who would sacrifice the lives of children to allay the itching of his own skin, would be in our eyes a monster of criminality.

And yet almost equally criminal are the men of our time, lords, in a barbaric sense, of sexual life; and we silently acquiesce in customs which in the future centuries will perhaps be remembered as a monstrous barbarism.

The whole moral revival which awaits us, revolves around the struggle against the sexual sins. The emancipation of woman, the protection of maternity and of the child, are its most luminous exponents; but no less efficacious evidences of such progress are all the efforts directed against alcoholism and the other vices and diseases which are reflected in their unhappy consequences to posterity. There is just one side of the question that has hitherto been scarcely touched at all, and that is the chastity of man and his responsibility as a father; but even this has already come to be felt as an imperative necessity for progress. In place of reducing other human beings to slavery and prostituting them; instead of betraying them and shattering their lives by seduction and the desertion of their offspring, the man of the future will choose to _become chaste_. He will feel that otherwise he is dishonoured, morally lost. Man will not be willing to be so weak as to confess himself dragged down to degradation and crime because unable to conquer his own instincts; man who has nothing but victories on the credit side of his history, and who even succeeded in overcoming the greatest of all his irresistible instincts, that of self-preservation, in showing himself capable of going into combat and dying for the ideals of his fatherland.

Man is capable of every great heroism; it was man who found a means of conquering the formidable obstacles of his environment, establishing himself lord of the earth, and laying the foundations of civilisation. He will also teach himself to be chaste, within sufficiently narrow limits to guarantee the dignity of the human race and the health of the species; and in this way he will prescribe the ethics for the centuries of the near future: _sexual_ _morality_. There are customs and virtues, lofty ethical doctrines that stand in direct accord with the conservation and the progress of life. Bodily cleanliness, temperance in drink, the conquest of personal instincts, human brotherhood in the full extent of the thought, the feeling, and the practice, chastity; all these are just so many forms of the defense of life, both of the individual and of the species. To-day, in hygiene, in pathology and in anthropology, science is showing us the truth through positive proofs, through experiments and statistics. But these virtues which are paths leading to _life_, are simply being reconfirmed by science; just as they are being little by little attained by civil progress, which prepares their practical elements; but they were always intuitively recognised by the human heart: nothing is older in the ethics of mankind than the principal of brotherhood, of victory over the instincts, of chastity. Only, these virtues, _intuitively perceived_, could not be universally _practised_, because universal practice demanded time for preparation. But they survived partly as affirmations of absolute virtue and partly as _prophesies_ of a future age and were considered as constituting the _highest_ good. Just as the æsthetic sense led to the recognition of _normality_ at a time when this scientific concept was very far from being understood as it is to-day; in the same way the ethical and religious sense was able to feel intuitively and to separate from customs and from sentiments belonging to an evanescent form of transitory civilisation or from the temporary racial needs, those others that relate fundamentally to the biological preservation of the individual and the species and the practical attainment of human perfection. And while the medial intellectual man or the artistic genius combines wholly or in part the thoughts of his time, the medial moral or religious man sums up the guiding principles of life which everyone feels profoundly in the depth of his heart; and when he speaks to other men it seems as though he instilled new vigour into the very roots of their existence, and he is believed, when he speaks of a happier future toward which humanity is advancing. If the intellectual genius is almost a reader of contemporaneous thought as it vibrates around him, the religious genius interprets more or less completely and perfectly the universal and eternal spirit of life in humanity.

Accordingly, the medial men incarnate the _beautiful_, the _true_, and the _good_: in other words, the theories of positivism arrive at the selfsame goals as idealism, those of poetry, philosophy and art.

By following the path of observation, we reach a goal analogous to that sought along the path of intuition.

The theory of the medial man constructed fundamentally upon positive bases of _measurements_ and _facts_, represents the limit[51] of perfection of the human individual associated with the limit of perfection of _human society_, which is formed in a two-fold way: a close association between all human beings, or the formation of a true social organism (complete hybridism in body; human brotherhood in sentiment), and the steadily progressive emancipation, of every individual member from anxiety concerning the _defense of life_, in order to enjoy the triumph of the _development of_ _life_. All that was formerly included under _defense_ will assume collective forms of a high order (repressive justice replaced by more varied forms of prevention: which have for their final goal a widespread education and a gradual amelioration of labour and social conditions); and in this _reign of peace_ there will arise the possibility _of developing all_ the forces of life (biological liberty).

In such a conception, the individual organism depends more and more upon the social organism: just as the cells depend upon the multicellular organism; and we may almost conceive of a new living entity, a _super-organism_ made up of humanity, but in which every component part is allowed the maximum expansion of its personal activity emancipated from all the obstacles that have been successively overcome. This conception of _biological_ _liberty_, in other words, the triumph of the free and peaceful development of life, through the long series of more or less bitter _struggles and defenses of life_, constitutes, in my opinion, the very essence of the new pedagogy. And the evolution of modern thought and of the social environment can alone prepare for its advent, perhaps at no distant day.

FOOTNOTES:

[49] Viola, _The Laws of Morphological Correlation of the Individual Types_.

[50] Cited by Viola.

[51] Limit, in the mathematical sense.

TABLES SUMMARIZING

THE MEAN PROPORTIONS OF THE BODY ACCORDING TO AGE

_Useful for judging of normal development and incidentally for_ _diagnosing forms of infantilism:_

_Preceded by_ figures (from QUÉTÉLET) giving the _growth of stature_ _in man and in woman (it being well known that the stature_ _is the fundamental measurement for forming the aforesaid_ _judgments)_.

------------------------- Age | Males | Females ------+---------+-------- 0 | 0.496 | 0.483 1 | 0.696 | 0.690 2 | 0.707 | 0.780 3 | 0.860 | 0.850 4 | 0.932 | 0.910 5 | 0.990 | 0.974 6 | 1.046 | 1.032 7 | 1.112 | 1.096 8 | 1.170 | 1.139 9 | 1.227 | 1.200 10 | 1.282 | 1.248 11 | 1.327 | 1.275 12 | 1.359 | 1.327 13 | 1.403 | 1.386 14 | 1.487 | 1.447 15 | 1.559 | 1.475 16 | 1.610 | 1.500 17 | 1.670 | 1.544 18 | 1.700 | 1.562 19 | 1.706 | 1.566 20 | 1.711 | 1.570 | | 25 | 1.722 | 1.577 30 | 1.722 | 1.579 40 | 1.713 | 1.555 50 | 1.674 | 1.536 60 | 1.639 | 1.516 70 | 1.628 | 1.514 -------------------------

{ Length of body 0.50 m. { Weight 3 kg. New-born child { Maximum cranial circumference 335 mm. { Circumference of thorax 350 mm. { Index of stature 68 { Ponderal index 28.8--

--------------------------------------------------------- Age in years | 1 | 2 | 3 ---------------------------------+-------+-------+------- Stature in metres | 0.696 | 0.797 | 0.860 Index of stature | 65 | 63 | 62 Weight in kilograms | 10 | 12 | 13.21 Ponderal index | 30.9 | 28.7 | 27.5 Maximum circumference of head in | | | millimetres. | 440 | 471 | 486 --------------------------------------------------------- Age in years | 4 | 5 | 6 ---------------------------------+-------+-------+------- Stature in metres | 0.932 | 0.990 | 1.046 Index of stature | 60 | 59 | 57 Weight in kilograms | 15 | 16.70 | 18.04 Ponderal index | 26.5 | 25.8 | 25.1 Maximum circumference of head in | | | millimetres. | 496 | 503 | 508 ---------------------------------+-------+-------+------- Age in years | 7 | 8 | 9 ---------------------------------+-------+-------+------- Stature in metres | 1.112 | 1.170 | 1.227 Index of stature | 56 | 55 | 55 Weight in kilograms | 20.16 | 22.26 | 24.09 Ponderal index | 24.4 | 24 | 23.5 Maximum circumference of head in | | | millimetres. | 513 | 519 | 523 ---------------------------------+-------+-------+-------- Age in years | 10 | 11 | 12 ---------------------------------+-------+-------+-------- Stature in metres | 1.282 | 1.327 | 1.359 Index of stature | 54 | 53 | 53 Weight in kilograms | 26.12 | 27.85 | 31 Ponderal index | 23.1 | 22.8 | 23.1 Maximum circumference of head in | | | millimetres. | 527 | 531 | 535 ---------------------------------+-------+-------+------ Ages in years | 13 | 14 | 15 ---------------------------------+-------+-------+------ Stature in metres | 1.403 | 1.487 | 1.559 Index of stature | 52 | 52 | 51 Weight in kilograms | 35.32 | 40.50 | 46.41 Ponderal index | 23.4 | 23.1 | 23.1 Maximum circumference of head in | | | millimetres. | 539 | 543 | 547 ---------------------------------+-------+-------+------- Age in years | 16 | 17 | 18 ---------------------------------+-------+-------+------- Stature in metres | 1.610 | 1.670 | 1.700 Index of stature | 51 | 52 | 52 Weight in kilograms | 53.39 | 57.40 | 61.26 Ponderal index | 23.4 | 23.1 | 23.2 Maximum circumference of head in | | | millimetres. | 551 | 555 | 561 ---------------------------------------------------------

TABLES OF CALCULATIONS

I

TABLES FOR CALCULATING THE CEPHALIC INDEX

CALCULATIONS OF THE CEPHALIC INDEX

Antero-posterior diameters from 160 to 174 mm.; bilateral diameters from 120 to 159 mm.

---------------------------------------------------------------------- Bilateral | diameters | Antero-posterior diameters, in millimetres in milli- |----------------------------------------------------------- metres |160|161|162|163|164|165|166|167|168|169|170|171|172|173|174 ----------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--- 120 | 75| 75| 74| 74| 73| 73| 72| 72| 71| 71| 71| 70| 70| 69| 69 121 | 76| 75| 75| 74| 74| 73| 73| 72| 72| 72| 71| 71| 70| 70| 70 122 | 76| 76| 75| 75| 74| 74| 73| 73| 73| 72| 72| 71| 71| 71| 70 123 | 77| 76| 76| 75| 75| 75| 74| 74| 73| 73| 72| 72| 72| 71| 71 124 | 77| 77| 77| 76| 76| 75| 75| 74| 74| 73| 73| 73| 72| 72| 71 | | | | | | | | | | | | | | | 125 | 78| 78| 77| 77| 76| 76| 75| 75| 74| 74| 74| 73| 73| 72| 72 126 | 79| 78| 78| 77| 77| 76| 76| 75| 75| 75| 74| 74| 73| 73| 72 127 | 79| 79| 78| 78| 77| 77| 77| 76| 76| 75| 75| 74| 74| 73| 73 128 | 80| 80| 79| 79| 78| 78| 77| 77| 76| 76| 75| 75| 74| 74| 74 129 | 81| 80| 80| 79| 79| 78| 78| 77| 77| 76| 76| 75| 75| 75| 74 | | | | | | | | | | | | | | | 130 | 81| 81| 80| 80| 79| 79| 78| 78| 77| 77| 76| 76| 76| 75| 75 131 | 82| 81| 81| 80| 80| 79| 79| 78| 78| 78| 77| 77| 76| 76| 75 132 | 82| 82| 81| 81| 80| 80| 80| 79| 79| 78| 78| 77| 77| 76| 76 133 | 83| 83| 82| 82| 81| 81| 80| 80| 79| 79| 78| 78| 77| 77| 76 134 | 84| 83| 83| 82| 82| 81| 81| 80| 80| 79| 79| 78| 78| 77| 77 | | | | | | | | | | | | | | | 135 | 84| 84| 83| 83| 82| 82| 81| 81| 80| 80| 79| 79| 78| 78| 78 136 | 85| 84| 84| 83| 83| 82| 82| 81| 81| 80| 80| 80| 79| 79| 78 137 | 86| 85| 85| 84| 84| 83| 83| 82| 82| 81| 81| 80| 80| 79| 79 138 | 86| 86| 85| 85| 84| 84| 83| 83| 82| 82| 81| 81| 80| 80| 79 139 | 87| 86| 86| 85| 85| 84| 84| 83| 83| 82| 82| 81| 81| 80| 80 | | | | | | | | | | | | | | | 140 | 87| 87| 86| 86| 85| 85| 84| 84| 83| 83| 82| 82| 81| 81| 80 141 | 89| 88| 87| 87| 86| 85| 85| 84| 84| 83| 83| 82| 82| 82| 81 142 | 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 83| 83| 82| 82 143 | 89| 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 83| 83| 82 144 | 90| 89| 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 83| 83 | | | | | | | | | | | | | | | 145 | 91| 90| 90| 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 83 146 | 91| 91| 90| 90| 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84 147 | 92| 91| 91| 90| 90| 89| 89| 88| 87| 87| 86| 86| 85| 85| 84 148 | 92| 92| 91| 91| 90| 90| 89| 89| 88| 88| 87| 87| 86| 86| 85 149 | 93| 93| 92| 91| 91| 90| 90| 89| 89| 88| 88| 87| 87| 86| 86 | | | | | | | | | | | | | | | 150 | 94| 93| 93| 92| 91| 91| 90| 90| 89| 89| 88| 88| 87| 87| 86 151 | 94| 94| 93| 93| 92| 92| 91| 90| 90| 89| 89| 88| 88| 87| 87 152 | 95| 94| 94| 93| 93| 92| 92| 91| 90| 90| 89| 89| 88| 88| 87 153 | 96| 95| 94| 94| 93| 93| 92| 92| 91| 91| 90| 89| 89| 88| 88 154 | 96| 96| 95| 94| 94| 93| 93| 92| 92| 91| 91| 90| 90| 89| 89 | | | | | | | | | | | | | | | 155 | 97| 96| 96| 95| 95| 94| 93| 93| 92| 92| 91| 91| 90| 90| 89 156 | 97| 97| 96| 96| 95| 95| 94| 93| 93| 92| 92| 91| 91| 90| 90 157 | 98| 98| 97| 96| 96| 95| 95| 94| 93| 93| 92| 92| 91| 91| 90 158 | 99| 98| 98| 97| 96| 96| 95| 95| 94| 93| 93| 92| 92| 91| 91 159 | 99| 99| 98| 98| 97| 96| 96| 95| 95| 94| 94| 93| 92| 92| 91 ----------------------------------------------------------------------

CALCULATIONS OF THE CEPHALIC INDEX

Antero-posterior diameters from 175 to 189 mm.; bilateral diameters from 126 to 164 mm.

---------------------------------------------------------------------- Bilateral | diameters | Antero-posterior diameters, in millimetres in milli- |----------------------------------------------------------- metres |175|176|177|178|179|180|181|182|183|184|185|186|187|188|189 ----------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--- 125 | 71| 71| 71| 70| 70| 69| 69| 69| 68| 68| 68| 67| 67| 66| 66 126 | 72| 72| 71| 71| 70| 70| 70| 69| 69| 68| 68| 68| 67| 67| 67 127 | 73| 72| 72| 71| 71| 71| 70| 70| 69| 69| 69| 68| 68| 68| 67 128 | 73| 73| 72| 72| 72| 71| 71| 70| 70| 70| 69| 69| 68| 68| 68 129 | 74| 73| 73| 72| 72| 72| 71| 71| 70| 70| 70| 69| 69| 69| 68 | | | | | | | | | | | | | | | 130 | 74| 74| 73| 73| 73| 72| 72| 71| 71| 71| 70| 70| 70| 69| 69 131 | 75| 74| 74| 74| 73| 73| 72| 72| 72| 71| 71| 70| 70| 70| 69 132 | 75| 75| 75| 74| 74| 73| 73| 73| 72| 72| 71| 71| 71| 70| 70 133 | 76| 76| 75| 75| 74| 74| 73| 73| 73| 72| 72| 72| 71| 71| 70 134 | 77| 76| 76| 75| 75| 74| 74| 74| 73| 73| 72| 72| 72| 71| 71 | | | | | | | | | | | | | | | 135 | 77| 77| 76| 76| 75| 75| 75| 74| 74| 73| 73| 73| 72| 72| 71 136 | 78| 77| 77| 76| 76| 76| 75| 75| 74| 74| 74| 73| 73| 72| 72 137 | 78| 78| 77| 77| 77| 76| 76| 75| 75| 74| 74| 74| 73| 73| 72 138 | 79| 78| 78| 78| 77| 77| 76| 76| 75| 75| 75| 74| 74| 73| 73 139 | 79| 79| 79| 78| 78| 77| 77| 76| 76| 76| 75| 75| 74| 74| 74 | | | | | | | | | | | | | | | 140 | 80| 80| 79| 79| 78| 78| 77| 77| 77| 76| 76| 75| 75| 74| 74 141 | 81| 80| 80| 79| 79| 78| 78| 77| 77| 77| 76| 76| 75| 75| 75 142 | 81| 81| 80| 80| 79| 79| 78| 78| 78| 77| 77| 76| 76| 76| 75 143 | 82| 81| 81| 80| 80| 79| 79| 79| 78| 78| 77| 77| 76| 76| 76 144 | 82| 82| 81| 81| 80| 80| 80| 79| 79| 78| 78| 77| 77| 77| 76 | | | | | | | | | | | | | | | 145 | 83| 82| 82| 81| 81| 81| 80| 80| 79| 79| 78| 78| 78| 77| 77 146 | 83| 83| 82| 82| 82| 81| 81| 80| 80| 79| 79| 78| 78| 78| 77 147 | 84| 84| 83| 83| 82| 82| 81| 81| 80| 80| 79| 79| 79| 78| 78 148 | 85| 84| 84| 83| 83| 82| 82| 81| 81| 80| 80| 80| 79| 79| 78 149 | 85| 85| 84| 84| 83| 83| 82| 82| 81| 81| 81| 80| 80| 79| 79 | | | | | | | | | | | | | | | 150 | 86| 85| 85| 84| 84| 83| 83| 82| 82| 82| 81| 81| 80| 80| 79 151 | 86| 86| 85| 85| 84| 84| 83| 83| 83| 82| 82| 81| 81| 80| 80 152 | 87| 86| 86| 85| 85| 84| 84| 84| 83| 83| 82| 82| 81| 81| 80 153 | 87| 87| 86| 86| 85| 85| 85| 84| 84| 83| 83| 82| 82| 81| 81 154 | 88| 87| 87| 87| 86| 86| 85| 85| 84| 84| 83| 83| 82| 82| 81 | | | | | | | | | | | | | | | 155 | 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 83| 83| 82| 82 156 | 89| 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 83| 83| 83 157 | 90| 89| 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 84| 83 158 | 90| 90| 89| 89| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 84 159 | 91| 90| 90| 89| 89| 88| 88| 87| 87| 86| 86| 85| 85| 85| 84 | | | | | | | | | | | | | | | 160 | 91| 91| 90| 90| 89| 89| 88| 88| 87| 87| 86| 86| 86| 85| 85 161 | 92| 91| 91| 90| 90| 89| 89| 88| 88| 87| 87| 87| 86| 86| 85 162 | 93| 92| 92| 91| 91| 90| 90| 89| 89| 88| 88| 87| 87| 86| 86 163 | 93| 93| 92| 92| 91| 91| 90| 90| 89| 89| 88| 88| 87| 87| 86 164 | 94| 93| 93| 92| 92| 91| 91| 90| 90| 89| 89| 88| 88| 87| 87 ----------------------------------------------------------------------

CALCULATIONS OF THE CEPHALIC INDEX

Antero-posterior diameters from 190 to 204 mm.; bilateral diameters from 130 to 169 mm.

---------------------------------------------------------------------- Bilateral | diameters | Antero-posterior diameters, in millimetres in milli- |----------------------------------------------------------- metres |190|191|192|193|194|195|196|197|198|199|200|201|202|203|204 ----------+---+---+---+---+---+---+---+---+---+---+---+---+---+---+--- 130 | 68| 68| 68| 67| 67| 67| 66| 66| 66| 65| 65| 65| 64| 64| 64 131 | 69| 69| 68| 68| 68| 67| 67| 66| 66| 66| 65| 65| 65| 65| 64 132 | 69| 69| 69| 68| 68| 68| 67| 67| 67| 66| 66| 66| 65| 65| 65 133 | 70| 70| 69| 69| 69| 68| 68| 68| 67| 67| 66| 66| 66| 66| 65 134 | 71| 70| 70| 69| 69| 69| 68| 68| 68| 67| 67| 67| 66| 66| 66 | | | | | | | | | | | | | | | 135 | 71| 71| 70| 70| 70| 69| 69| 69| 68| 68| 67| 67| 67| 67| 66 136 | 72| 71| 71| 70| 70| 70| 69| 69| 69| 68| 68| 68| 67| 67| 67 137 | 72| 72| 71| 71| 71| 70| 70| 70| 69| 69| 68| 68| 68| 67| 67 138 | 73| 72| 72| 72| 71| 71| 70| 70| 70| 69| 69| 69| 68| 68| 68 139 | 73| 73| 72| 72| 72| 71| 71| 71| 70| 70| 69| 69| 69| 68| 68 | | | | | | | | | | | | | | | 140 | 74| 73| 73| 73| 72| 72| 71| 71| 71| 70| 70| 70| 69| 69| 69 141 | 74| 74| 73| 73| 73| 72| 72| 72| 71| 71| 70| 70| 70| 69| 69 142 | 75| 74| 74| 74| 73| 73| 72| 72| 72| 71| 71| 71| 70| 70| 70 143 | 75| 75| 74| 74| 74| 73| 73| 73| 72| 72| 71| 71| 71| 70| 70 144 | 76| 75| 75| 75| 74| 74| 73| 73| 73| 72| 72| 72| 71| 71| 71 | | | | | | | | | | | | | | | 145 | 76| 76| 76| 75| 75| 74| 74| 74| 73| 73| 72| 72| 72| 71| 71 146 | 77| 76| 76| 76| 75| 75| 74| 74| 74| 73| 73| 73| 72| 72| 72 147 | 77| 77| 77| 76| 76| 75| 75| 75| 74| 74| 73| 73| 73| 72| 72 148 | 78| 77| 77| 77| 76| 76| 76| 75| 75| 74| 74| 74| 73| 73| 73 149 | 78| 78| 78| 77| 77| 76| 76| 76| 75| 75| 74| 74| 74| 73| 73 | | | | | | | | | | | | | | | 150 | 79| 79| 78| 78| 77| 77| 77| 76| 76| 75| 75| 75| 74| 74| 74 151 | 79| 79| 79| 78| 78| 77| 77| 77| 76| 76| 75| 75| 75| 74| 74 152 | 80| 80| 79| 79| 78| 78| 78| 77| 77| 76| 76| 76| 75| 75| 75 153 | 80| 80| 80| 79| 79| 78| 78| 78| 77| 77| 76| 76| 76| 75| 75 154 | 81| 81| 80| 80| 79| 79| 79| 78| 78| 77| 77| 77| 76| 76| 75 | | | | | | | | | | | | | | | 155 | 82| 81| 81| 80| 80| 79| 79| 79| 78| 78| 77| 77| 77| 76| 76 156 | 82| 82| 81| 81| 80| 80| 80| 79| 79| 78| 78| 78| 77| 77| 76 157 | 83| 82| 82| 81| 81| 81| 80| 80| 79| 79| 78| 78| 78| 77| 77 158 | 83| 83| 82| 82| 81| 81| 81| 80| 80| 79| 79| 79| 78| 78| 77 159 | 84| 83| 83| 82| 82| 82| 81| 81| 80| 80| 79| 79| 79| 78| 78 | | | | | | | | | | | | | | | 160 | 84| 84| 83| 83| 82| 82| 82| 81| 81| 80| 80| 80| 79| 79| 78 161 | 85| 84| 84| 83| 83| 83| 82| 82| 81| 81| 80| 80| 80| 79| 79 162 | 85| 85| 84| 84| 84| 83| 83| 82| 82| 81| 81| 81| 80| 80| 79 163 | 86| 85| 85| 84| 84| 84| 83| 83| 82| 82| 81| 81| 81| 80| 80 164 | 86| 86| 85| 85| 85| 84| 84| 83| 83| 82| 82| 82| 81| 81| 80 | | | | | | | | | | | | | | | 165 | 87| 86| 86| 85| 85| 85| 84| 84| 83| 83| 82| 82| 82| 81| 81 166 | 87| 87| 86| 86| 86| 85| 85| 84| 84| 83| 83| 83| 82| 82| 81 167 | 88| 87| 87| 87| 86| 86| 85| 85| 84| 84| 83| 83| 83| 82| 82 168 | 88| 88| 87| 87| 87| 86| 86| 85| 85| 84| 84| 84| 83| 83| 82 169 | 89| 88| 88| 88| 87| 87| 86| 86| 85| 85| 84| 84| 84| 83| 83

II

TABLES FOR CALCULATING THE PONDERAL INDEX

CALCULATIONS OF THE PONDERAL INDEX Statures from 46 to 60 centimetres; weights from 2 to 16 kilograms

W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 2 --|27 4|26 8|26 2|25 7|25 2|24 7|24 2|23 8|23 3|22 9|22 5|22 1|21 7|21 4|21 0 2 10|27 8|27 3|26 7|26 1|25 6|25 1|24 6|24 2|23 7|23 3|22 9|22 5|22 1|21 7|21 3 2 20|28 3|27 7|27 1|26 6|26 0|25 5|25 0|24 5|24 1|23 7|23 2|22 8|22 4|22 1|21 7 2 30|28 7|28 1|27 5|26 9|26 4|25 9|25 4|24 9|24 4|24 0|23 6|23 2|22 8|22 4|22 0 2 40|29 1|28 5|27 9|27 3|26 8|26 2|25 7|25 3|24 8|24 3|23 9|23 5|23 1|22 7|22 3 | | | | | | | | | | | | | | | 2 50|29 5|28 9|28 3|27 7|27 1|26 6|26 1|25 6|25 1|24 7|24 2|23 8|23 4|23 0|22 6 2 60|29 9|29 3|28 6|28 1|27 5|27 0|26 4|25 9|25 5|25 0|24 6|24 1|23 7|23 3|22 9 2 70|30 3|29 6|29 0|28 4|27 8|27 3|26 8|26 3|25 8|25 3|24 9|24 4|24 0|23 6|23 2 2 80|30 6|30 0|29 4|28 8|28 2|27 6|27 1|26 6|26 1|25 6|25 2|24 7|24 3|23 9|23 5 2 90|31 0|30 3|29 7|29 1|28 5|28 0|27 4|26 9|26 4|25 9|25 5|25 0|24 6|24 2|23 8 | | | | | | | | | | | | | | | 3 --|31 3|30 7|30 0|29 4|28 8|28 3|27 7|27 2|26 7|26 2|25 7|25 3|24 9|24 4|24 0 3 10|31 7|31 0|30 4|29 8|29 2|28 6|28 0|27 5|27 0|26 5|26 0|25 6|25 1|24 7|24 3 3 20|32 0|31 4|30 7|30 1|29 5|28 9|28 3|27 8|27 3|26 8|26 8|25 9|25 4|25 0|24 6 3 30|32 4|31 7|31 0|30 4|29 8|29 2|28 6|28 1|27 6|27 1|26 6|26 1|25 7|25 2|24 8 3 40|32 7|32 0|31 3|30 7|30 1|29 5|28 9|28 4|27 9|27 3|26 9|26 4|25 9|25 5|25 1 | | | | | | | | | | | | | | | 3 50|33 0|32 3|31 6|31 0|30 4|29 8|29 2|28 6|28 1|27 6|27 1|26 6|26 2|25 7|25 3 3 60|33 3|32 6|31 9|31 3|30 7|30 1|29 5|28 9|28 4|27 9|27 4|26 9|26 4|26 0|25 5 3 70|33 6|32 9|32 2|31 6|30 9|30 3|29 7|29 2|28 6|28 1|27 6|27 1|26 7|26 2|25 8 3 80|33 9|33 2|32 5|31 8|31 2|30 6|30 0|29 4|28 9|28 4|27 9|27 4|26 9|26 4|26 0 3 90|34 2|33 5|32 8|32 1|31 5|30 9|30 3|29 7|29 1|28 6|28 1|27 6|27 1|26 7|26 2 | | | | | | | | | | | | | | | 4 --|34 5|33 8|33 1|32 4|31 7|31 1|30 5|29 9|29 4|28 9|28 3|27 8|27 4|26 9|26 4 4 10|34 8|34 1|33 4|32 7|32 0|31 4|30 8|30 2|29 6|29 1|28 6|28 1|27 6|27 1|26 7 4 20|35 1|34 3|33 6|32 9|32 3|31 6|31 0|30 4|29 9|29 3|28 8|28 3|27 8|27 3|26 9 4 30|35 3|34 6|33 9|33 2|32 5|31 9|31 3|30 7|30 1|29 6|29 0|28 5|28 0|27 6|27 1 4 40|35 6|34 9|34 1|33 4|32 8|32 1|31 5|30 9|30 4|29 8|29 3|28 8|28 3|27 8|27 3 | | | | | | | | | | | | | | | 4 50|35 9|35 1|34 4|33 7|33 0|32 4|31 7|31 2|30 6|30 0|29 5|29 0|28 5|28 0|27 5 4 60|36 2|35 4|34 6|33 9|33 3|32 6|32 0|31 4|30 8|30 2|29 7|29 2|28 7|28 2|27 7 4 70|36 4|35 6|34 9|34 2|33 5|32 8|32 2|31 6|31 0|30 5|29 9|29 4|28 9|28 4|27 9 4 80|36 7|35 9|35 1|34 4|33 7|33 1|32 4|31 8|31 2|30 7|30 1|29 6|29 1|28 6|28 1 4 90|36 9|36 1|35 4|34 7|34 0|33 3|32 7|32 0|31 4|30 9|30 3|29 8|29 3|28 8|28 3 | | | | | | | | | | | | | | | 5 --|37 2|36 4|35 6|34 9|34 2|33 5|32 9|32 3|31 7|31 1|30 5|30 0|29 5|29 0|28 5 5 25|37 8|37 6|36 2|35 5|34 8|34 1|33 4|32 8|32 2|31 6|31 0|30 5|30 0|29 5|29 0 5 50|38 4|37 6|36 8|36 0|35 3|34 6|33 9|33 3|32 7|32 1|31 5|31 0|30 4|29 9|29 4 5 75|39 0|38 1|37 3|36 6|35 8|35 1|34 5|33 8|33 2|32 6|32 0|31 4|30 9|30 4|29 9 6 --|39 5|38 7|37 9|37 1|36 3|35 6|34 9|34 3|33 6|33 0|32 4|31 9|31 3|30 8|30 3 6 25|40 0|39 2|38 4|37 6|36 8|36 1|35 4|34 8|34 1|33 5|32 9|32 3|31 8|31 2|30 7 6 50|40 6|39 7|38 9|38 1|37 3|36 6|35 9|35 2|34 6|33 9|33 3|32 7|32 2|31 6|31 1 6 75|41 1|40 2|30 4|38 6|37 8|37 1|36 3|35 7|35 0|34 4|33 7|33 2|32 6|32 0|31 5 | | | | | | | | | | | | | | | 7 --|41 6|40 7|39 9|39 0|38 3|37 5|36 8|36 1|35 4|34 8|34 2|33 6|33 0|32 4|31 9 7 50|42 5|41 6|40 8|39 9|39 1|38 4|37 6|36 9|36 2|35 6|34 9|34 3|33 7|33 2|32 6 8 --|43 5|42 6|41 7|40 8|40 0|39 2|38 5|37 7|37 0|36 4|35 7|35 1|34 5|33 9|33 3 8 50|44 4|43 4|42 5|41 7|40 8|40 0|39 2|38 5|37 8|37 1|36 4|35 8|35 2|34 6|34 0 | | | | | | | | | | | | | | | 9 --|45 2|44 3|43 3|42 4|41 6|40 8|40 0|39 2|38 5|37 8|37 1|36 5|35 9|35 3|34 7 10 --|46 8|45 8|44 9|44 0|43 1|42 2|41 4|40 6|39 9|39 2|38 5|37 8|37 1|36 5|35 9 11 --|48 3|47 3|46 3|45 4|44 5|43 6|42 8|42 0|41 2|40 4|39 7|39 0|38 3|37 7|37 1 12 --|49 8|48 7|47 7|46 7|45 8|44 9|44 0|43 2|42 4|41 6|40 9|40 2|39 5|38 8|38 1 13 --|51 1|50 0|49 0|48 0|47 0|46 1|45 2|44 4|43 5|42 7|42 0|41 2|40 5|39 8|39 2 14 --|52 4|51 3|50 2|49 2|48 2|47 3|46 3|45 5|44 6|43 8|43 0|42 3|41 6|40 8|40 2 15 --|53 6|52 5|51 4|50 3|49 3|48 4|47 4|46 5|45 7|44 8|44 0|43 3|42 5|41 8|41 1 16 --|54 8|53 6|52 5|51 4|50 4|49 4|48 5|47 5|46 7|45 8|45 0|44 2|43 4|42 7|42 0 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 61 to 75 centimetres; weights from 2 to|16 kilograms.

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 2 --|20 7|20 3|20 0|19 7|19 4|19 1|18 8|18 5|18 3|18 0|17 7|17 5|17 3|17 0|16 8 2 10|21 0|20 7|20 3|20 0|19 7|19 4|19 1|18 8|18 6|18 3|18 0|17 8|17 5|17 3|17 1 2 20|21 3|21 0|20 7|20 3|20 0|19 7|19 4|19 1|18 9|18 6|18 3|18 0|17 8|17 6|17 3 2 30|21 6|21 3|21 0|20 6|20 3|20 0|19 7|19 4|19 1|18 9|18 6|18 3|18 1|17 8|17 6 2 40|22 0|21 6|21 3|20 9|20 6|20 3|20 0|19 7|19 4|19 1|18 9|18 6|18 3|18 1|17 9 | | | | | | | | | | | | | | | 2 50|22 2|21 9|21 5|21 2|20 9|20 6|20 3|20 0|19 7|19 4|19 1|18 8|18 6|18 3|18 1 2 60|22 5|22 2|21 8|21 5|21 2|20 8|20 5|20 2|19 9|19 6|19 4|19 1|18 8|18 6|18 3 2 70|22 8|22 5|22 1|21 7|21 4|21 1|20 8|20 5|20 2|19 9|19 6|19 3|19 1|18 8|18 6 2 80|23 1|22 7|22 4|22 0|21 7|21 3|21 0|20 7|20 4|20 1|19 8|19 6|19 3|19 0|18 8 2 90|23 4|23 0|22 6|22 3|21 9|21 6|21 3|21 0|20 7|20 4|20 1|19 8|19 5|19 3|19 0 | | | | | | | | | | | | | | | 3 --|23 6|23 3|22 9|22 5|22 2|21 8|21 5|21 2|20 9|20 6|20 3|20 0|19 8|19 5|19 2 3 10|23 9|23 5|23 1|22 8|22 4|22 1|21 8|21 4|21 1|20 8|20 5|20 2|20 0|19 7|19 4 3 20|24 2|23 8|23 4|23 0|22 7|22 3|22 0|21 7|21 4|21 1|20 8|20 5|20 2|19 9|19 7 3 30|24 4|24 0|23 6|23 3|22 9|22 6|22 2|21 9|21 6|21 3|21 0|20 7|20 4|20 1|19 9 3 40|24 7|24 3|23 9|23 5|23 1|22 8|22 4|22 1|21 8|21 5|21 2|20 9|20 6|20 3|20 1 | | | | | | | | | | | | | | | 3 50|24 9|24 5|24 1|23 7|23 4|23 0|22 7|22 3|22 0|21 7|21 4|21 1|20 8|20 5|20 2 3 60|25 1|24 7|24 3|24 0|23 6|23 2|22 9|22 5|22 2|21 9|21 6|21 3|21 0|20 7|20 4 3 70|25 4|25 0|24 6|24 2|23 8|23 4|23 1|22 7|22 4|22 1|21 8|21 5|21 2|20 9|20 6 3 80|25 6|25 2|24 8|24 4|24 0|23 6|23 3|22 9|22 6|22 3|22 0|21 7|21 4|21 1|20 8 3 90|25 8|25 4|25 0|24 6|24 2|23 8|23 5|23 1|22 8|22 5|22 2|21 9|21 6|21 3|21 0 | | | | | | | | | | | | | | | 4 --|26 0|25 6|25 2|24 8|24 4|24 0|23 7|23 3|23 0|22 7|22 4|22 0|21 7|21 4|21 2 4 10|26 2|25 8|25 4|25 0|24 6|24 3|23 9|23 5|23 2|22 9|22 5|22 2|21 9|21 6|21 3 4 20|26 4|26 0|25 6|25 2|24 8|24 4|24 1|23 7|23 4|23 0|22 7|22 4|22 1|21 8|21 5 4 30|26 7|26 2|25 8|25 4|25 0|24 6|24 3|23 9|23 6|23 2|22 9|22 6|22 3|22 0|21 7 4 40|26 9|26 4|26 0|25 6|25 2|24 8|24 5|24 1|23 8|23 4|23 1|22 8|22 5|22 1|21 9 | | | | | | | | | | | | | | | 4 50|27 1|26 6|26 2|25 8|25 4|25 0|24 6|24 3|23 9|23 6|23 3|22 9|22 6|22 3|22 0 4 60|27 3|26 8|26 4|26 0|25 6|25 2|24 8|24 5|24 1|23 8|23 4|23 1|22 8|22 5|22 2 4 70|27 5|27 0|26 6|26 2|25 8|25 4|25 0|24 6|24 3|23 9|23 6|23 3|22 9|22 6|22 3 4 80|27 7|27 2|26 8|26 4|26 0|25 6|25 2|24 8|24 4|24 1|23 8|23 4|23 1|22 8|22 5 4 90|27 8|27 4|27 0|26 5|26 1|25 7|25 3|25 0|24 6|24 3|23 9|23 6|23 3|22 9|22 6 | | | | | | | | | | | | | | | 5 --|28 0|27 7|27 1|26 7|26 3|25 9|25 5|25 1|24 8|24 4|24 1|23 7|23 4|23 1|22 8 5 25|28 5|28 0|27 6|27 2|26 7|26 3|25 9|25 6|25 2|24 8|24 5|24 1|23 8|23 5|23 2 5 50|28 9|28 5|28 0|27 6|27 2|26 7|26 3|26 0|25 6|25 2|24 9|24 5|24 2|23 9|23 5 5 75|29 4|28 9|28 4|28 0|27 6|27 2|26 7|26 3|26 0|25 6|25 2|24 9|24 5|24 2|23 9 6 --|29 8|29 3|28 8|28 4|28 0|27 5|27 1|26 7|26 3|26 0|25 6|25 2|24 9|24 6|24 2 6 25|30 2|29 7|29 2|28 8|28 3|27 9|27 5|27 1|26 7|26 3|25 9|25 6|25 2|24 9|24 6 6 50|30 6|30 1|29 6|29 5|28 7|28 3|27 9|27 4|27 0|26 7|26 3|25 9|25 6|25 2|24 9 6 75|31 0|30 5|30 0|29 5|29 1|28 6|28 2|27 8|27 4|27 0|26 6|26 3|25 9|25 5|25 2 | | | | | | | | | | | | | | | 7 --|31 4|30 9|30 4|29 9|29 4|29 0|28 6|28 1|27 7|27 3|26 9|26 6|26 2|25 9|25 5 7 50|32 1|31 6|31 1|30 6|30 1|29 7|29 2|28 8|28 4|28 0|27 6|27 2|26 8|26 4|26 1 8 --|32 8|32 3|31 7|31 2|30 8|30 3|29 9|29 4|29 0|28 6|28 2|27 8|27 4|27 0|26 7 8 50|33 5|32 9|32 4|31 9|31 4|30 9|30 5|30 0|29 6|29 2|28 7|28 3|28 0|27 6|27 2 | | | | | | | | | | | | | | | 9 --|34 1|33 5|33 0|32 5|32 0|31 5|31 0|30 6|30 1|29 7|29 3|28 9|28 5|28 1|27 7 10 --|35 3|34 7|34 2|33 7|33 1|32 6|32 1|31 7|31 2|30 8|30 3|29 9|29 5|29 1|28 7 11 --|36 5|35 9|35 3|34 7|34 2|33 7|33 2|32 7|32 2|31 8|31 3|30 9|30 5|30 1|29 7 12 --|37 5|36 9|36 3|35 7|35 2|34 7|34 2|33 7|33 2|32 7|32 2|31 8|31 4|30 9|30 5 13 --|38 5|37 9|37 3|36 7|36 2|35 6|35 1|34 6|34 1|33 6|33 1|32 7|32 2|31 8|31 3 14 --|39 5|38 9|38 3|37 7|37 1|36 5|36 0|35 4|34 9|34 4|33 9|33 5|33 0|32 6|32 1 15 --|40 4|39 8|39 1|38 5|37 9|37 4|36 8|36 3|35 7|35 2|34 7|34 2|33 8|33 3|32 9 16 --|41 3|40 6|40 0|39 4|38 8|38 2|37 6|37 1|36 5|36 0|35 5|35 0|34 5|34 1|33 6 --------------------------------------------------------------------------------

Statures from 76 to 90 centimetres; weights from 4 to|37 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 | 90 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 4 --|20 9|20 6|20 3|20 1|19 8|19 6|19 4|19 1|18 9|18 7|18 5|18 2|18 0|17 8|17 6 4 50|21 7|21 4|21 2|20 9|20 6|20 4|20 1|19 9|19 7|19 4|19 2|19 0|18 8|18 6|18 3 5 --|22 5|22 2|21 9|21 6|21 4|21 1|20 9|20 6|20 4|20 1|19 9|19 7|19 4|19 2|19 0 5 50|23 2|22 9|22 6|22 3|22 1|21 8|21 5|21 3|21 0|20 8|20 5|20 3|20 1|19 8|19 6 6 --|23 9|23 6|23 3|23 0|22 6|22 4|22 2|21 9|21 6|21 4|21 1|20 9|20 6|20 4|20 2 6 50|24 6|24 2|23 9|23 6|23 3|23 0|22 8|22 5|22 2|22 0|21 7|21 4|21 2|21 0|20 7 7 --|25 2|24 8|24 5|24 2|23 9|23 6|23 3|23 0|22 8|22 5|22 2|22 0|21 7|21 5|21 3 7 50|25 7|25 4|25 1|24 8|24 5|24 2|23 9|23 6|23 3|23 0|22 8|22 5|22 2|22 0|21 7 | | | | | | | | | | | | | | | 8 --|26 3|26 0|25 6|25 3|25 0|24 7|24 4|24 1|23 8|23 5|23 3|23 0|22 7|22 5|22 2 8 50|26 9|26 5|26 2|25 8|25 5|25 2|24 9|24 6|24 3|24 0|23 7|23 5|23 2|22 9|22 7 9 --|27 4|27 0|26 7|26 3|26 0|25 7|25 4|25 1|24 8|24 5|24 2|23 9|23 6|23 4|23 1 9 50|27 9|27 5|27 2|26 8|26 5|26 1|25 8|25 5|25 2|24 9|24 6|24 3|24 1|23 8|23 5 10 --|28 3|28 0|37 6|27 3|26 9|26 6|26 3|26 0|25 6|25 3|25 0|24 8|24 5|24 2|23 9 | | | | | | | | | | | | | | | 10 50|28 8|28 4|28 1|27 7|27 4|27 0|26 7|26 4|26 1|25 8|25 5|25 2|24 9|24 6|24 3 11 --|29 3|28 9|28 5|28 2|27 8|27 5|27 1|26 8|26 5|26 2|25 9|25 6|25 3|25 0|24 7 11 50|29 7|29 3|28 9|28 6|28 2|27 9|27 5|27 2|26 9|26 6|26 2|25 9|25 6|25 4|25 1 12 --|30 1|29 7|29 3|29 0|28 6|28 3|27 9|27 6|27 2|26 9|26 6|26 3|26 0|25 7|25 4 12 50|30 5|30 1|29 8|29 4|29 0|28 7|28 3|28 0|27 6|27 3|27 0|26 7|26 4|26 1|25 8 | | | | | | | | | | | | | | | 13 --|30 9|30 5|30 1|29 8|29 4|29 0|28 7|28 3|28 0|27 7|27 3|27 0|26 7|26 4|26 1 13 50|31 3|30 9|30 5|30 1|29 8|29 4|29 0|28 7|28 3|28 0|27 7|27 4|27 1|26 8|26 5 14 --|31 7|31 3|30 0|30 5|30 1|29 8|29 4|29 0|28 7|28 3|28 0|27 7|27 4|27 1|26 8 14 50|32 1|31 7|31 3|30 9|30 5|30 1|29 7|29 4|29 0|28 7|28 3|28 0|27 7|27 4|27 1 15 --|32 4|32 0|31 6|31 2|30 8|30 4|30 1|29 7|29 4|29 0|28 7|28 3|28 0|27 7|27 4 | | | | | | | | | | | | | | | 15 50|32 8|32 4|32 0|31 6|31 2|30 8|30 4|30 0|29 7|29 3|29 0|28 7|28 3|28 0|27 7 16 --|33 2|32 7|32 3|31 9|31 5|31 1|30 7|30 4|30 0|29 6|29 3|29 0|28 6|28 3|28 0 16 50|33 5|33 1|32 6|32 2|31 8|31 4|31 0|30 7|30 3|30 0|29 6|29 3|28 9|28 6|28 3 17 --|33 8|33 4|33 0|32 5|32 0|31 7|31 4|31 0|30 6|30 2|29 9|29 6|29 2|28 9|28 6 17 50|34 2|33 7|33 3|32 9|32 4|32 0|31 7|31 3|30 9|30 5|30 2|29 8|29 5|29 2|28 8 | | | | | | | | | | | | | | | 18 --|34 5|34 0|33 6|33 2|32 8|32 4|32 0|31 6|31 2|30 8|30 5|30 1|29 8|29 4|29 1 18 50|34 8|34 4|33 9|33 5|33 1|32 7|32 3|31 9|31 5|31 1|30 8|30 4|30 1|29 7|29 4 19 --|35 1|34 6|34 2|33 8|33 3|32 9|32 5|32 1|31 8|31 4|31 0|30 7|30 3|30 0|29 6 19 50|35 4|35 0|34 5|34 1|33 6|33 2|32 8|32 4|32 0|31 7|31 3|30 9|30 6|30 2|29 9 20 --|35 7|35 2|34 8|34 4|33 9|33 5|33 1|32 7|32 3|31 9|31 6|31 2|30 8|30 5|30 2 | | | | | | | | | | | | | | | 21 --|36 3|35 8|35 4|34 9|34 5|34 1|33 6|33 2|32 8|32 5|32 1|31 7|31 4|31 0|30 7 25 --|36 9|36 4|35 9|35 5|35 0|34 6|34 2|33 8|33 4|33 0|32 6|32 2|31 8|31 5|31 1 23 --|37 4|36 9|36 5|36 0|35 5|35 1|34 7|34 3|33 9|33 5|33 1|32 7|32 3|31 9|31 6 24 --|37 9|37 5|37 0|36 5|36 0|35 6|35 2|34 7|34 3|33 9|33 5|33 2|32 8|32 4|32 0 25 --|38 5|38 0|37 5|37 0|36 5|36 1|35 7|35 2|34 8|34 4|34 0|33 6|33 2|32 9|32 5 | | | | | | | | | | | | | | | 26 --|39 0|38 5|38 0|37 5|37 0|36 6|36 1|35 7|35 3|34 8|34 4|34 0|33 7|33 3|32 9 27 --|39 5|39 0|38 5|38 0|37 5|37 0|36 6|36 1|35 7|35 3|34 9|34 5|34 1|33 7|33 3 28 --|40 0|39 4|38 9|38 4|38 0|37 5|37 0|36 6|36 2|35 7|35 3|34 9|34 5|34 1|33 7 29 --|40 4|39 9|39 4|38 9|38 4|37 9|37 5|37 0|36 6|36 1|35 7|35 3|34 9|34 5|34 1 30 --|40 9|40 4|39 8|39 3|38 8|38 4|37 9|37 4|37 0|36 6|36 1|35 7|35 3|34 9|34 5 | | | | | | | | | | | | | | | 31 --|41 3|40 8|40 3|39 8|39 3|38 8|38 3|37 8|37 4|37 0|36 5|36 1|35 7|35 3|34 9 32 --|41 8|41 2|40 7|40 2|39 7|39 2|38 7|38 3|37 8|37 4|36 9|36 5|36 1|35 7|35 3 33 --|42 2|41 7|41 1|40 6|40 1|39 6|39 1|38 7|38 2|37 7|37 3|36 9|36 5|36 0|35 6 34 --|42 6|42 1|41 5|41 0|40 5|40 0|39 5|39 0|38 6|38 1|37 7|37 2|36 8|36 4|36 0 35 --|43 0|42 5|41 9|41 4|40 9|40 4|39 9|39 4|38 9|38 5|38 0|37 6|37 2|36 8|36 3 36 --|43 4|42 9|42 3|41 8|41 3|40 8|40 3|39 8|39 3|38 8|38 4|38 0|37 5|37 1|36 7 37 --|43 8|43 3|42 7|42 2|41 6|41 1|40 6|40 1|39 7|39 2|38 7|38 3|37 9|37 4|37 0 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 91 to 105 centimetres; weights from 4 to 37 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 | 100| 101| 102| 103| 104| 105 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 4 --|17 4|17 2|17 0|16 9|16 7|16 5|16 4|16 2|16 0|15 9|15 7|15 6|15 4|15 3|15 1 4 50|18 1|17 9|17 8|17 6|17 4|17 2|17 0|16 8|16 7|16 5|16 3|16 2|16 0|15 9|15 7 5 --|18 8|18 6|18 4|18 2|18 0|17 8|17 6|17 4|17 3|17 1|16 9|16 8|16 6|16 5|16 3 5 50|19 4|19 2|19 0|18 8|18 6|18 3|18 2|18 0|17 8|17 6|17 5|17 3|17 1|17 0|16 8 6 --|20 0|19 7|19 5|19 3|19 1|18 9|18 7|18 5|18 4|18 2|18 0|17 8|17 6|17 5|17 3 6 50|20 5|20 3|20 1|19 9|19 6|19 4|19 2|19 0|18 8|18 7|18 5|18 3|18 1|17 9|17 8 7 --|21 0|20 8|20 6|20 4|20 1|19 9|19 7|19 5|19 3|19 1|18 9|18 8|18 6|18 4|18 2 7 50|21 5|21 3|21 1|20 8|20 6|20 4|20 2|20 0|19 8|19 6|19 4|19 2|19 0|18 8|18 6 | | | | | | | | | | | | | | | 8 --|22 0|21 7|21 5|21 3|21 1|20 8|20 6|20 4|20 2|20 0|19 8|19 6|19 4|19 2|19 0 8 50|22 4|22 2|22 0|21 7|21 5|21 3|21 0|20 8|20 6|20 4|20 2|20 0|19 8|19 6|19 4 9 --|22 9|22 6|22 4|22 1|21 9|21 7|21 4|21 2|21 0|20 8|20 6|20 4|20 2|20 0|19 8 9 50|23 3|23 0|22 8|22 5|22 3|22 1|21 8|21 6|21 4|21 2|21 0|20 8|20 6|20 4|20 2 10 --|23 7|23 4|23 2|22 9|22 7|22 4|22 2|22 0|21 8|21 5|21 3|21 1|20 9|20 7|20 5 | | | | | | | | | | | | | | | 10 50|24 1|23 8|23 5|23 3|23 1|22 8|22 6|22 3|22 1|21 9|21 7|21 5|21 3|21 1|20 9 11 --|24 4|24 2|23 9|23 7|23 4|23 2|22 9|22 7|22 5|22 2|22 0|21 8|21 6|21 4|21 2 11 50|24 8|24 5|24 3|24 0|23 8|23 5|23 3|23 0|22 8|22 6|22 3|22 1|21 9 12 7|21 5 12 --|25 2|24 9|24 6|24 4|24 1|23 8|23 6|23 4|23 1|22 9|22 7|22 4|22 2|22 0|21 8 12 50|25 5|25 2|25 0|24 7|24 4|24 2|23 9|23 7|23 4|23 2|23 0|22 8|22 5|22 3|22 1 | | | | | | | | | | | | | | | 13 --|25 8|25 6|25 3|25 0|24 7|24 5|24 2|24 0|23 7|23 5|23 3|23 0|22 8|22 6|22 4 13 50|26 2|25 9|25 6|25 3|25 1|24 8|24 5|24 3|24 1|23 8|23 6|23 3|23 1|22 9|22 7 14 --|26 5|26 2|25 9|25 6|25 4|25 1|24 8|24 6|24 3|24 1|23 9|23 6|23 4|23 2|23 0 14 50|26 8|26 5|26 2|25 9|25 7|25 4|25 1|24 9|24 6|24 4|24 1|23 9|23 7|23 4|23 3 15 --|27 1|26 8|26 5|26 2|26 0|25 7|25 4|25 2|24 9|24 7|24 4|24 2|23 9|23 7|23 5 | | | | | | | | | | | | | | | 15 50|27 4|27 1|26 8|26 5|26 2|26 0|25 7|25 4|25 2|24 9|24 7|24 4|24 2|24 0|23 7 16 --|27 7|27 4|27 1|26 8|26 5|26 2|26 0|25 7|25 5|25 2|25 0|24 7|24 5|24 2|24 0 16 50|28 0|27 7|27 4|27 1|26 8|26 5|26 2|26 0|25 7|25 5|25 2|25 0|24 7|24 5|24 2 17 --|28 3|27 9|27 6|27 4|27 1|26 8|26 5|26 2|26 0|25 7|25 5|25 2|25 0|24 7|24 5 17 50|28 5|28 2|27 9|27 6|27 3|27 0|26 8|26 5|26 2|26 0|25 7|25 5|25 2|25 0|24 7 | | | | | | | | | | | | | | | 18 --|28 8|28 5|28 2|27 9|27 6|27 3|27 0|26 7|26 5|26 2|26 0|25 7|25 4|25 2|25 0 18 50|29 1|28 7|28 4|28 1|27 8|27 6|27 3|27 0|26 7|26 4|26 2|25 9|25 7|25 4|25 2 19 --|29 3|29 0|28 7|28 4|28 0|27 8|27 5|27 2|20 9|26 7|26 4|26 2|25 9|25 7|25 4 19 50|29 6|29 3|28 9|28 6|28 3|28 0|27 8|27 5|27 2|26 9|26 7|26 4|26 1|25 9|25 6 20 --|29 8|29 5|29 2|28 9|28 6|28 3|28 0|27 7|27 4|27 1|26 9|26 6|26 3|26 1|25 8 | | | | | | | | | | | | | | | 21 --|30 3|30 0|29 7|29 4|29 0|28 7|28 4|28 2|27 9|27 6|27 3|27 0|26 8|26 5|26 3 22 --|30 8|30 5|30 1|29 8|29 5|29 2|28 9|28 6|28 3|28 0|27 7|27 5|27 2|26 9|26 7 23 --|31 2|30 9|30 6|30 3|29 9|29 6|29 3|29 0|28 7|28 4|28 2|27 9|27 6|27 3|27 1 24 --|31 7|31 3|31 0|30 7|30 4|30 0|29 7|29 4|29 1|28 8|28 6|28 3|28 0|27 7|27 5 25 --|32 1|31 8|31 4|31 1|30 8|30 5|30 1|29 8|29 5|29 2|28 9|28 7|28 4|28 1|27 8 | | | | | | | | | | | | | | | 26 --|32 5|32 2|31 8|31 5|31 2|30 9|30 5|30 2|29 9|29 6|29 3|29 0|28 8|28 5|28 2 27 --|33 0|32 6|32 3|31 9|31 9|31 2|30 9|30 6|30 3|30 0|29 7|29 4|29 1|28 8|28 6 28 --|33 4|33 0|32 7|32 3|32 0|31 6|31 3|31 0|30 7|30 4|30 1|29 8|29 5|29 2|28 9 29 --|33 8|33 4|33 0|32 7|32 3|32 0|31 7|31 3|31 0|30 7|30 4|30 1|29 8|29 5|29 3 30 --|34 1|33 8|33 4|33 1|32 7|32 4|32 0|31 7|31 4|31 1|30 8|30 5|30 2|29 9|29 6 | | | | | | | | | | | | | | | 31 --|34 5|34 1|33 8|33 4|33 1|32 7|32 4|32 1|31 7|31 4|31 1|30 8|30 5|30 2|29 9 32 --|34 9|34 5|34 1|33 8|33 4|33 1|32 7|32 4|32 1|31 7|31 4|31 1|30 8|30 5|30 2 33 --|35 3|34 9|34 5|34 1|33 8|33 4|33 1|32 7|32 4|32 1|31 8|31 5|31 1|30 8|30 6 34 --|35 6|35 2|34 8|34 5|34 1|33 7|33 4|33 1|32 7|32 4|32 1|31 8|31 5|31 2|30 9 35 --|35 9|35 6|35 2|34 8|34 4|34 1|33 7|33 4|33 0|32 7|32 4|32 1|31 8|31 5|31 2 36 --|36 3|35 9|35 5|35 1|34 8|31 4|34 0|33 7|33 4|33 0|32 7|32 4|32 1|31 7|31 4 37 --|36 6|36 2|35 8|35 4|35 1|34 7|34 4|34 0|33 7|33 3|33 0|32 7|32 3|32 0|31 7 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 106 to 120 centimetres; weights from 11 to 60 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 106| 107| 108| 109| 110| 111| 112| 113| 114| 115| 116| 117| 118| 119| 120 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 11 |21 0|20 8|20 6|20 4|20 2|20 0|19 9|19 7|19 5|19 3|19 2|19 0|18 8|18 7|18 5 12 |21 6|21 4|21 2|21 0|20 8|20 6|20 4|20 3|20 1|19 9|19 7|19 6|19 4|19 2|19 1 13 |22 2|22 0|21 8|21 6|21 4|21 2|21 0|20 8|20 6|20 4|20 3|20 1|19 9|19 8|19 6 14 |22 7|22 5|22 3|22 1|21 9|21 7|21 5|21 3|21 1|21 0|20 8|20 6|20 4|20 3|20 1 15 |23 3|23 0|22 8|22 6|22 4|22 2|22 0|21 8|21 6|21 4|21 3|21 1|20 9|20 7|20 6 | | | | | | | | | | | | | | | 16 |23 8|23 6|23 3|23 1|22 9|22 7|22 5|22 3|22 1|21 9|21 7|21 5|21 4|21 2|21 0 17 |24 3|24 0|23 8|23 6|23 4|23 2|23 0|22 8|22 6|22 4|22 2|22 0|21 8|21 6|21 4 18 |24 7|24 5|24 3|24 0|23 8|23 6|23 4|23 2|23 0|22 8|22 6|22 4|22 2|22 0|21 8 19 |25 2|24 9|24 7|24 5|24 3|24 0|23 8|23 6|23 4|23 2|23 0|22 8|22 6|22 4|22 2 20 |25 6|25 4|25 1|24 9|24 7|24 5|24 2|24 0|23 8|23 6|23 4|23 2|23 0|22 8|22 6 | | | | | | | | | | | | | | | 21 |26 0|25 8|25 5|25 3|25 1|24 9|24 6|24 4|24 2|24 0|23 8|23 6|23 4|23 2|23 0 22 |26 4|26 2|25 9|25 7|25 5|25 2|25 0|24 8|24 6|24 4|24 2|23 9|23 7|23 5|23 3 23 |26 8|26 6|26 3|26 1|25 9|25 6|25 4|25 2|24 9|24 7|24 5|24 3|24 1|23 9|23 7 24 |27 2|27 0|26 7|26 5|26 2|26 0|25 7|25 5|25 3|25 1|24 9|24 6|24 4|24 2|24 0 25 |27 6|27 3|27 1|26 8|26 6|26 3|26 1|25 9|25 6|25 4|25 2|25 0|24 8|24 6|24 4 | | | | | | | | | | | | | | | 26 |27 9|27 5|27 4|27 2|26 9|26 7|26 4|26 2|26 0|25 8|25 5|25 3|25 1|24 9|24 7 27 |28 3|28 0|27 8|27 5|27 3|27 0|26 8|26 5|26 3|26 1|25 9|25 6|25 4|25 2|25 0 28 |28 7|28 4|28 1|27 9|27 6|27 4|27 1|26 9|26 6|26 4|26 2|26 0|25 7|25 5|25 3 29 |29 0|28 7|28 4|28 2|27 9|27 7|27 4|27 2|26 9|26 7|26 5|26 3|26 0|25 8|25 6 30 |29 3|29 0|28 8|28 5|28 2|28 0|27 7|27 5|27 3|27 0|26 8|26 6|26 3|26 1|25 9 | | | | | | | | | | | | | | | 31 |29 6|29 4|29 1|28 8|28 6|28 3|28 0|27 8|27 6|27 3|27 1|26 8|26 6|26 4|26 2 32 |30 0|29 7|29 4|29 1|28 9|28 6|28 3|28 1|27 9|27 6|27 4|27 1|26 9|26 7|26 5 33 |30 3|30 0|29 7|29 4|29 2|28 9|28 6|28 4|28 1|27 9|27 7|27 4|27 2|27 0|26 7 34 |30 6|30 3|30 0|29 7|29 5|29 2|28 9|28 7|28 4|28 2|27 9|27 7|27 5|27 2|27 0 35 |30 9|30 6|30 3|30 0|29 7|29 5|29 2|28 9|28 7|28 4|28 2|28 0|27 7|27 5|27 3 | | | | | | | | | | | | | | | 36 |31 2|30 9|30 6|30 3|30 0|29 7|29 5|29 2|29 0|28 7|28 5|28 2|28 0|27 7|27 5 37 |31 4|31 1|30 9|30 6|30 3|30 0|29 7|29 5|29 2|29 0|28 7|28 5|28 2|28 0|27 8 38 |31 7|31 4|31 1|30 8|30 6|30 3|30 0|29 7|29 5|29 2|29 0|28 7|28 5|28 3|28 0 39 |32 0|31 7|31 4|31 1|30 8|30 5|30 3|30 0|29 7|29 5|29 2|29 0|28 7|28 5|28 3 40 |32 3|32 0|31 7|31 4|31 1|30 8|30 5|30 3|30 0|29 7|29 5|29 2|29 0|28 7|28 5 | | | | | | | | | | | | | | | 41 |32 5|32 2|31 9|31 7|31 3|31 1|30 8|30 5|30 2|30 0|29 7|29 5|29 2|29 0|28 7 42 |32 8|32 5|32 2|31 9|31 6|31 3|31 0|30 8|30 5|30 2|30 0|29 7|29 5|29 2|29 0 43 |33 0|32 7|32 4|32 1|31 8|31 6|31 3|31 0|30 7|30 5|30 2|29 9|29 7|29 4|29 2 44 |33 3|33 0|32 7|32 4|32 1|31 8|31 5|31 2|31 0|30 7|30 4|30 2|29 9|29 7|29 4 45 |33 6|33 2|32 9|32 6|32 3|32 0|31 8|31 5|31 2|30 9|30 7|30 4|30 1|29 9|29 6 | | | | | | | | | | | | | | | 46 |33 8|33 5|33 2|32 9|32 6|32 3|32 0|31 7|31 4|31 2|30 9|30 6|30 4|30 1|29 9 47 |34 0|33 7|33 4|33 1|32 8|32 5|32 2|31 9|31 7|31 4|31 1|30 8|30 6|30 3|30 1 48 |34 3|34 0|33 6|33 3|33 0|32 7|32 4|32 2|31 9|31 7|31 3|31 1|30 8|30 5|30 3 49 |34 5|34 2|33 9|33 6|33 3|33 0|32 7|32 4|32 1|31 8|31 5|31 3|31 0|30 7|30 5 50 |34 8|34 4|34 1|33 8|33 5|33 2|32 9|32 6|32 3|32 0|31 8|31 5|31 2|31 0|30 7 | | | | | | | | | | | | | | | 51 |35 0|34 7|34 3|34 0|33 7|33 4|33 1|32 8|32 5|32 2|32 0|31 7|31 4|31 2|30 9 52 |35 2|34 9|34 6|34 2|33 9|33 6|33 3|33 0|32 7|32 6|32 2|31 9|31 6|31 4|31 1 53 |35 4|35 1|34 8|34 5|34 1|33 8|33 5|33 2|32 9|32 7|32 4|32 1|31 8|31 6|31 3 54 |35 7|35 3|35 0|34 7|34 4|34 1|33 7|33 5|33 2|32 9|32 6|32 3|32 0|31 8|31 5 55 |35 9|35 5|35 2|34 9|34 6|34 3|34 0|33 7|33 4|33 1|32 8|32 5|32 2|32 0|31 7 | | | | | | | | | | | | | | | 56 |36 1|35 8|35 4|35 1|34 8|34 5|34 2|33 9|33 6|33 3|33 0|32 7|32 4|32 2|31 9 57 |36 3|36 0|35 6|35 3|35 0|34 7|34 4|34 1|33 8|33 5|33 2|32 9|32 6|32 3|32 1 58 |36 5|36 2|35 8|35 5|35 2|34 9|34 6|34 3|34 0|33 7|33 4|33 1|32 8|32 5|32 3 59 |36 7|36 4|36 0|35 7|35 4|35 1|34 8|34 5|34 1|33 9|33 6|33 3|33 0|32 7|32 4 60 |36 9|36 6|36 2|35 9|35 6|35 3|35 0|34 6|34 3|34 0|33 7|33 5|33 2|32 9|32 6 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 121 to 135 centimetres; weights from 11 to 60 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 121| 122| 123| 124| 125| 126| 127| 128| 129| 130| 131| 132| 133| 134| 135 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 11 |18 4|18 2|18 1|17 9|17 8|17 7|17 5|17 4|17 2|17 1|17 0|16 8|16 7|16 6|16 5 12 |18 9|18 8|18 6|18 5|18 3|18 2|18 0|17 9|17 7|17 6|17 5|17 3|17 2|17 1|17 0 13 |19 4|19 3|19 1|19 0|18 8|18 7|18 5|18 4|18 2|18 1|17 9|17 8|17 7|17 5|17 4 14 |19 9|19 8|19 6|19 4|19 3|19 1|19 0|18 8|18 7|18 5|18 4|18 3|18 1|17 9|17 9 15 |20 4|20 2|20 0|19 9|19 7|19 6|19 4|19 3|19 1|19 0|18 8|18 7|18 5|18 4|18 3 | | | | | | | | | | | | | | | 16 |20 8|20 7|20 5|20 3|20 2|20 0|19 8|19 7|19 5|19 4|19 2|19 1|18 9|18 8|18 7 17 |21 2|21 1|20 9|20 7|20 6|20 4|20 2|20 1|19 9|19 8|19 6|19 5|19 3|19 2|19 0 18 |21 6|21 5|21 3|21 1|21 0|20 8|20 6|20 5|20 3|20 2|20 0|19 9|19 7|19 6|19 4 19 |22 0|21 9|21 7|21 5|21 3|21 2|21 0|20 8|20 7|20 5|20 4|20 2|20 1|19 9|19 8 20 |22 4|22 2|22 1|21 9|21 7|21 5|21 4|21 2|21 0|20 9|20 7|20 6|20 4|20 3|20 1 | | | | | | | | | | | | | | | 21 |22 8|22 6|22 4|22 2|22 1|21 9|21 7|21 6|21 4|21 2|21 1|20 9|20 7|20 6|20 4 22 |23 2|23 0|22 8|22 6|22 4|22 2|22 1|21 9|21 7|21 6|21 4|21 2|21 1|20 9|20 8 23 |23 5|23 3|23 1|22 9|22 8|22 6|22 4|22 2|22 0|21 9|21 7|21 5|21 4|21 2|21 1 24 |23 8|23 6|23 4|23 3|23 1|22 9|22 7|22 5|22 4|22 2|22 0|21 8|21 7|21 5|21 4 25 |24 2|24 0|23 8|23 6|23 4|23 2|23 0|22 8|22 7|22 5|22 3|22 2|22 0|21 8|21 7 | | | | | | | | | | | | | | | 26 |24 5|24 3|24 1|23 9|23 7|23 5|23 3|23 1|23 0|22 8|22 6|22 4|22 3|22 1|21 9 27 |24 8|24 6|24 4|24 2|24 0|23 8|23 6|23 4|23 3|23 1|22 9|22 7|22 6|22 4|22 2 28 |25 1|24 9|24 7|24 5|24 3|24 1|23 9|23 7|23 5|23 4|23 2|23 0|22 8|22 7|22 5 29 |25 4|25 2|25 0|24 8|24 6|24 4|24 2|24 0|23 8|23 6|23 5|23 3|23 1|22 9|22 8 30 |25 7|25 5|25 3|25 1|24 9|24 7|24 5|24 3|24 1|23 9|23 7|23 5|23 4|23 2|23 0 | | | | | | | | | | | | | | | 31 |26 0|25 7|25 5|25 3|25 1|24 9|24 7|24 5|24 3|24 2|24 0|23 8|23 6|23 4|23 3 32 |26 2|26 0|25 8|25 6|25 4|25 2|25 0|24 8|24 6|24 4|24 2|24 1|23 9|23 7|23 5 33 |26 5|26 3|26 1|25 9|25 7|25 5|25 3|25 1|24 9|24 7|24 5|24 3|24 1|23 9|23 8 34 |26 8|26 6|26 3|26 1|25 9|25 7|25 5|25 3|25 1|24 9|24 7|24 5|24 4|24 2|24 0 35 |27 0|26 8|26 6|26 4|26 2|26 0|25 8|25 6|25 4|25 2|25 0|24 8|24 6|24 4|24 2 | | | | | | | | | | | | | | | 36 |27 3|27 1|26 8|26 6|26 4|26 2|26 0|25 8|25 6|25 4|25 2|25 0|24 8|24 6|24 5 37 |27 5|27 3|27 1|26 9|26 7|26 4|26 2|26 0|25 8|25 6|25 4|25 2|25 1|24 9|24 7 38 |27 8|27 6|27 3|27 1|26 9|26 7|26 5|26 3|26 1|25 9|25 7|25 5|25 3|25 1|24 9 39 |28 0|27 8|27 6|27 3|27 1|26 9|26 7|26 5|26 3|26 1|25 9|25 7|25 5|25 3|25 1 40 |28 3|28 0|27 8|27 6|27 4|27 1|26 9|26 7|26 5|26 3|26 1|25 9|25 7|25 5|25 3 | | | | | | | | | | | | | | | 41 |28 5|28 3|28 0|27 8|27 6|27 4|27 1|26 9|26 7|26 5|26 3|26 1|25 9|25 7|25 5 42 |28 7|28 5|28 3|28 0|27 8|27 6|27 4|27 2|26 9|26 7|26 5|26 3|26 1|25 9|25 7 43 |29 0|28 7|28 5|28 2|28 0|27 8|27 6|27 4|27 2|26 9|26 7|26 5|26 3|26 1|25 9 44 |29 2|28 9|28 7|28 5|28 2|28 0|27 8|27 6|27 4|27 2|26 9|26 7|26 5|26 3|26 1 45 |29 4|29 2|28 9|28 7|28 5|28 2|28 0|27 8|27 6|27 4|27 2|26 9|26 7|26 5|26 3 | | | | | | | | | | | | | | | 46 |29 6|29 4|29 1|28 0|28 7|28 4|28 2|28 0|27 8|27 6|27 4|27 1|26 9|26 7|26 5 47 |29 8|29 6|29 3|29 1|28 9|28 6|28 4|28 2|28 0|27 8|27 5|27 3|27 1|26 9|26 7 48 |30 0|29 8|29 5|29 3|29 1|28 8|28 6|28 4|28 2|28 0|27 7|27 6|27 3|27 1|26 9 49 |30 2|30 0|29 7|29 5|29 3|29 0|28 8|28 6|28 4|28 1|27 9|27 7|27 5|27 3|27 1 50 |30 4|30 2|30 0|29 7|29 5|29 2|29 0|28 8|28 6|28 3|28 1|27 9|27 7|27 5|27 3 | | | | | | | | | | | | | | | 51 |30 6|30 4|30 1|29 9|29 7|29 4|29 2|29 0|28 7|28 5|28 3|28 1|27 9|27 7|27 5 52 |30 9|30 6|30 3|30 1|29 9|29 6|29 4|29 2|28 9|28 7|28 5|28 3|28 1|27 9|27 7 53 |31 0|30 8|30 5|30 3|30 0|29 8|29 6|29 3|29 1|28 9|28 7|28 5|28 2|28 0|27 8 54 |31 2|31 0|30 7|30 5|30 2|30 0|29 8|29 5|29 3|29 1|28 9|28 6|28 4|28 2|28 0 55 |31 4|31 2|30 9|30 7|30 4|30 2|29 9|29 7|29 5|29 3|29 0|28 8|28 6|28 4|28 2 | | | | | | | | | | | | | | | 56 |31 6|31 4|31 1|30 9|30 6|30 4|30 1|29 9|29 7|29 4|29 2|29 0|28 8|28 6|28 3 57 |31 8|31 5|31 3|31 0|30 8|30 5|30 3|30 1|29 8|29 6|29 4|29 2|28 9|28 7|28 5 58 |32 0|31 7|31 5|31 2|31 0|30 7|30 5|30 2|30 0|29 8|29 5|29 3|29 1|28 9|28 7 59 |32 2|31 9|31 7|31 4|31 1|30 9|30 7|30 4|30 2|29 9|29 7|29 5|29 3|29 1|28 8 60 |32 4|32 1|31 8|31 6|31 3|31 1|30 8|30 6|30 3|30 1|29 9|29 7|29 4|29 2|29 0 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 136 to 150 centimetres; weights from 26 to 75 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 136| 137| 138| 139| 140| 141| 142| 143| 144| 145| 146| 147| 148| 149| 150 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 26 |21 8|21 6|21 5|21 3|21 2|21 0|20 9|20 7|20 6|20 4|20 3|20 1|20 0|19 9|19 7 27 |22 1|21 9|21 7|21 6|21 4|21 3|21 1|21 0|20 8|20 7|20 5|20 4|20 3|20 1|20 0 28 |22 3|22 2|22 0|21 8|21 7|21 5|21 4|21 2|21 1|20 9|20 8|20 7|20 5|20 4|20 2 29 |22 6|22 4|22 3|22 1|21 9|21 8|21 6|21 5|21 3|21 2|21 0|20 9|20 8|20 6|20 5 30 |22 8|22 7|22 5|22 4|22 2|22 0|21 9|21 7|21 6|21 4|21 3|21 1|21 0|20 9|20 7 | | | | | | | | | | | | | | | 31 |23 1|22 9|22 8|22 6|22 4|22 3|22 1|22 0|21 8|21 7|21 5|21 4|21 2|21 1|20 9 32 |23 3|23 2|23 0|22 8|22 7|22 5|22 4|22 2|22 0|21 9|21 7|21 6|21 5|21 3|21 2 33 |23 6|23 4|23 2|23 1|22 9|22 8|22 6|22 4|22 3|22 1|22 0|21 8|21 7|21 5|21 4 34 |23 8|23 6|23 5|23 3|23 1|23 0|22 8|22 7|22 5|22 3|22 2|22 0|21 8|21 7|21 6 35 |24 1|23 9|23 7|23 5|23 4|23 2|23 0|22 9|22 7|22 6|22 4|22 3|22 1|22 0|21 8 | | | | | | | | | | | | | | | 36 |24 3|24 1|23 9|23 8|23 6|23 4|23 3|23 1|22 9|22 8|22 6|22 5|22 3|22 2|22 0 37 |24 5|24 3|24 1|24 0|23 8|23 6|23 5|23 3|23 1|23 0|22 8|22 7|22 5|22 4|22 2 38 |24 7|24 5|24 4|24 2|24 0|23 8|23 7|23 5|23 3|23 2|23 0|22 9|22 7|22 6|22 4 39 |24 9|24 8|24 6|24 4|24 2|24 0|23 9|23 7|23 5|23 4|23 2|23 1|22 9|22 8|22 6 40 |25 1|25 0|24 8|24 6|24 4|24 3|24 1|23 9|23 7|23 6|23 4|23 3|23 1|23 0|22 8 | | | | | | | | | | | | | | | 41 |25 4|25 2|25 0|24 8|24 6|24 5|24 3|24 1|23 9|23 8|23 6|23 5|23 3|23 1|23 0 42 |25 6|25 4|25 2|25 0|24 8|24 7|24 5|24 3|24 1|24 0|23 8|23 6|23 5|23 3|23 2 43 |25 8|25 6|25 4|25 2|25 0|24 8|24 7|24 5|24 3|23 2|24 0|23 8|23 7|23 5|23 4 44 |26 0|25 8|25 6|25 4|25 2|25 0|24 9|24 7|24 5|24 3|24 2|24 0|23 9|23 7|23 5 45 |26 2|26 0|25 8|25 6|25 4|25 2|25 0|24 9|24 7|24 5|24 4|24 2|24 0|23 9|23 7 | | | | | | | | | | | | | | | 46 |26 3|26 2|26 0|25 8|25 6|25 4|25 2|25 1|24 9|24 7|24 5|24 4|24 2|24 0|23 9 47 |26 5|26 3|26 2|26 0|25 8|25 6|25 4|25 2|25 1|24 9|24 7|24 6|24 4|24 2|24 1 48 |26 7|26 5|26 3|26 1|26 0|25 8|25 6|25 4|25 2|25 1|24 9|24 7|24 6|24 4|24 2 49 |26 9|26 7|26 5|26 3|26 1|26 0|25 8|25 6|25 4|25 2|25 1|24 9|24 7|24 6|24 4 50 |27 1|26 9|26 7|26 5|26 3|26 1|25 9|25 8|25 6|25 4|25 2|25 1|24 9|24 7|24 6 | | | | | | | | | | | | | | | 51 |27 3|27 1|26 9|26 7|26 5|26 3|26 1|25 9|25 7|25 6|25 4|25 2|25 1|24 9|24 7 52 |27 4|27 2|27 1|26 9|26 7|26 5|26 3|26 1|25 9|25 7|25 6|25 4|25 2|25 1|24 9 53 |27 6|27 4|27 2|27 0|26 8|26 6|26 5|26 3|26 1|25 9|25 7|25 6|25 4|25 2|25 0 54 |27 8|27 6|27 4|27 2|27 0|26 8|26 6|26 4|26 2|26 1|25 9|25 7|25 5|25 4|25 2 55 |28 0|27 8|27 6|27 4|27 2|27 0|26 8|26 6|26 4|26 2|26 0|25 9|25 7|25 5|25 4 | | | | | | | | | | | | | | | 56 |28 1|27 9|27 7|27 5|27 3|27 1|26 9|26 8|26 6|26 4|26 2|26 0|25 9|25 7|25 5 57 |28 3|28 1|27 9|27 7|27 5|27 3|27 1|26 9|26 7|26 5|26 4|26 2|26 0|25 8|25 7 58 |28 5|28 3|28 1|27 8|27 6|27 5|27 3|27 1|26 9|26 7|26 5|26 3|26 2|26 0|25 8 59 |28 6|28 4|28 2|28 0|27 8|27 6|27 4|27 2|27 0|26 8|26 7|26 5|26 3|26 1|26 0 60 |28 8|28 6|28 4|28 2|28 0|27 8|27 6|27 4|27 2|27 0|26 8|26 6|26 5|26 3|26 1 | | | | | | | | | | | | | | | 61 |28 9|28 7|28 5|28 3|28 1|27 9|27 7|27 5|27 3|27 1|27 0|26 8|26 6|26 4|26 2 62 |29 1|28 9|28 7|28 5|28 3|28 1|27 9|27 7|27 5|27 3|27 1|26 9|26 7|26 6|26 4 63 |29 3|29 0|28 8|28 6|28 4|28 2|28 0|27 8|27 6|27 4|27 3|27 1|26 9|26 7|26 5 64 |29 4|29 2|29 0|28 8|28 6|28 4|28 2|28 0|27 8|27 6|27 4|27 2|27 0|26 8|26 7 65 |29 6|29 4|29 1|28 9|28 7|28 5|28 3|28 1|27 9|27 7|27 5|27 4|27 2|27 0|26 8 | | | | | | | | | | | | | | | 66 |29 7|29 5|29 3|29 1|28 9|28 7|28 5|28 3|28 1|27 9|27 7|27 5|27 3|27 1|26 9 67 |29 9|29 6|29 4|29 2|29 0|28 8|28 6|28 4|28 2|28 0|27 8|27 6|27 4|27 3|27 1 68 |30 0|29 8|29 6|29 4|29 2|29 0|28 8|28 6|28 4|28 2|28 0|27 8|27 6|27 4|27 2 69 |30 2|29 9|29 7|29 5|29 3|29 1|28 9|28 7|28 5|28 3|28 1|27 9|27 7|27 5|27 3 70 |30 3|30 1|29 9|29 6|29 4|29 2|29 0|28 8|28 6|28 4|28 2|28 0|27 8|27 7|27 5 | | | | | | | | | | | | | | | 71 |30 4|30 2|30 0|29 8|29 6|29 4|29 2|29 0|28 8|28 6|28 4|28 2|28 0|27 8|27 6 72 |30 6|30 4|30 1|29 9|29 7|29 5|29 3|29 1|28 9|28 7|28 5|28 3|28 1|27 9|27 7 73 |30 7|30 5|30 3|30 1|29 8|29 6|29 4|29 2|29 0|28 8|28 6|28 4|28 2|28 0|27 9 74 |30 9|30 6|30 4|30 2|30 0|29 8|29 6|29 4|29 2|29 0|28 8|28 6|28 4|28 2|28 0 75 |31 0|30 8|30 6|30 3|30 1|29 9|29 7|29 5|29 3|29 1|28 9|28 7|28 5|28 3|28 1 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 151 to 165 centimetres; weights from 26 to 75 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 151| 152| 153| 154| 155| 156| 157| 158| 159| 160| 161| 162| 163| 164| 165 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 26 |19 6|19 5|19 4|19 2|19 1|19 0|18 9|18 7|18 6|18 5|18 4|18 3|18 2|18 1|18 0 27 |19 9|19 7|19 6|19 5|19 4|19 2|19 1|19 0|18 9|18 7|18 6|18 5|18 4|18 3|18 2 28 |20 1|20 0|19 8|19 7|19 6|19 5|19 3|19 2|19 1|19 0|18 9|18 7|18 6|18 5|18 4 29 |20 3|20 2|20 1|19 9|19 8|19 7|19 6|19 4|19 3|19 2|19 1|19 0|18 8|18 7|18 6 30 |20 6|20 4|20 3|20 2|20 0|19 9|19 8|19 7|19 5|19 4|19 3|19 2|19 1|18 9|18 8 | | | | | | | | | | | | | | | 31 |20 8|20 7|20 5|20 4|20 3|20 1|20 0|19 9|19 8|19 6|19 5|19 4|19 3|19 2|19 0 32 |21 0|20 9|20 8|20 6|20 5|20 4|20 2|20 1|20 0|19 8|19 7|19 6|19 5|19 4|19 2 33 |21 2|21 1|21 0|20 8|20 7|20 6|20 4|20 3|20 2|20 0|19 9|19 8|19 7|19 6|19 4 34 |21 5|21 3|21 2|21 0|20 9|20 8|20 6|20 5|20 4|20 2|20 1|20 0|19 9|19 8|19 6 35 |21 7|21 5|21 4|21 2|21 1|21 0|20 8|20 7|20 6|20 4|20 3|20 2|20 1|19 9|19 8 | | | | | | | | | | | | | | | 36 |21 9|21 7|21 6|21 4|21 3|21 2|21 0|20 9|20 8|20 6|20 5|20 4|20 3|20 1|20 0 37 |22 1|21 9|21 8|21 6|21 5|21 4|21 2|21 1|21 0|20 8|20 7|20 6|20 4|20 3|20 2 38 |22 3|22 1|22 0|21 8|21 7|21 6|21 4|21 3|21 1|21 0|20 9|20 8|20 6|20 5|20 4 39 |22 5|22 3|22 2|22 0|21 9|21 7|21 6|21 5|21 3|21 2|21 1|20 9|20 8|20 7|20 6 40 |22 6|22 5|22 4|22 2|22 1|21 9|21 8|21 6|21 5|21 4|21 2|21 1|21 0|20 9|20 7 | | | | | | | | | | | | | | | 41 |22 8|22 7|22 5|22 4|22 2|22 1|22 0|21 8|21 7|21 5|21 4|21 3|21 2|21 0|20 9 42 |23 0|22 9|22 7|22 6|22 4|22 3|22 1|22 0|21 9|21 7|21 6|21 5|21 3|21 2|21 1 43 |23 2|23 0|22 9|22 7|22 6|22 5|22 3|22 2|22 0|21 9|21 8|21 6|21 5|21 4|21 2 44 |23 4|23 2|23 1|22 9|22 8|22 6|22 5|22 3|22 2|22 1|21 9|21 8|21 7|21 5|21 4 45 |23 6|23 4|23 2|23 1|22 9|22 8|22 7|22 5|22 4|22 2|22 1|22 0|21 8|21 7|21 6 | | | | | | | | | | | | | | | 46 |23 7|23 6|23 4|23 3|23 1|23 0|22 8|22 7|22 5|22 4|22 3|22 1|22 0|21 8|21 7 47 |23 9|23 7|23 6|23 4|23 3|23 1|23 0|22 8|22 7|22 6|22 4|22 3|22 1|22 0|21 9 48 |24 1|23 9|23 8|23 6|23 4|23 3|23 1|23 0|22 9|22 7|22 6|22 4|22 3|22 2|22 0 49 |24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2|23 0|22 9|22 7|22 6|22 4|22 3|22 2 50 |24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2|23 0|22 9|22 7|22 6|22 5|22 3 | | | | | | | | | | | | | | | 51 |24 6|24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2|23 0|22 9|22 7|22 6|22 5 52 |24 7|24 6|24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2|23 0|22 9|22 8|22 6 53 |24 9|24 7|24 5|24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2|23 0|22 9|22 8 54 |25 0|24 9|24 7|24 5|24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2|23 0|22 9 55 |25 2|25 0|24 9|24 7|24 5|24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2|23 0 | | | | | | | | | | | | | | | 56 |25 3|25 2|25 0|24 8|24 7|24 5|24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3|23 2 57 |25 5|25 3|25 2|25 0|24 8|24 7|24 5|24 4|24 2|24 1|23 9|23 8|23 6|23 5|23 3 58 |25 6|25 5|25 3|25 1|25 0|24 8|24 7|24 5|24 3|24 2|24 0|23 9|23 7|23 6|23 5 59 |25 8|25 6|25 4|25 3|25 1|25 0|24 8|24 6|24 5|24 3|24 2|24 0|23 9|23 7|23 6 60 |25 9|25 8|25 6|25 4|25 3|25 1|24 9|24 8|24 6|24 5|24 3|24 2|24 0|23 9|23 7 | | | | | | | | | | | | | | | 61 |26 1|25 9|25 7|25 6|25 4|25 2|25 1|24 9|24 8|24 6|24 4|24 3|24 1|24 0|23 9 62 |26 2|26 0|25 9|25 7|25 5|25 3|25 2|25 1|24 9|24 7|24 6|24 4|24 3|24 1|24 0 63 |26 4|26 2|26 0|25 8|25 7|25 5|25 3|25 2|25 0|24 9|24 7|24 6|24 4|24 3|24 1 64 |26 5|26 3|26 1|26 0|25 8|25 6|25 5|25 3|25 2|25 0|24 8|24 7|24 5|24 4|24 2 65 |26 6|26 5|26 3|26 1|25 9|25 8|25 6|25 4|25 3|25 1|25 0|24 8|24 7|24 5|24 4 | | | | | | | | | | | | | | | 66 |26 8|26 6|26 4|26 2|26 1|25 9|25 7|25 6|25 4|25 3|25 1|24 9|24 8|24 6|24 5 67 |26 9|26 7|26 5|26 4|26 2|26 0|25 9|25 7|25 5|25 4|25 2|25 1|24 9|24 8|24 6 68 |27 0|26 9|26 7|26 5|26 3|26 2|26 0|25 8|25 7|25 5|25 4|25 2|25 0|24 9|24 7 69 |27 2|27 0|26 8|26 6|26 5|26 3|26 1|26 0|25 8|25 6|25 5|25 3|25 2|25 0|24 9 70 |27 3|27 1|26 9|26 8|26 6|26 4|26 2|26 1|25 9|25 8|25 6|25 4|25 3|25 1|25 0 | | | | | | | | | | | | | | | 71 |27 4|27 2|27 1|26 9|26 7|26 5|26 4|26 2|26 0|25 9|25 7|25 6|25 4|25 3|25 1 72 |27 5|27 4|27 2|27 0|26 8|26 7|26 5|26 3|26 2|26 0|25 8|25 7|25 5|25 4|25 2 73 |27 7|27 5|27 3|27 1|27 0|26 8|26 6|26 4|26 3|26 1|26 0|25 8|25 6|25 5|25 3 74 |27 8|27 6|27 4|27 3|27 1|26 9|26 7|26 6|26 4|26 2|26 1|25 9|25 8|25 6|25 4 75 |27 9|27 7|27 6|27 4|27 2|27 0|26 9|26 7|26 5|26 4|26 2|26 0|25 9|25 7|25 6 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 166 to 180 centimetres; weights from 46 to 95 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s| 166| 167| 168| 169| 170| 171| 172| 173| 174| 175| 176| 177| 178| 179| 180 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 46 |21 6|21 5|21 3|21 2|21 1|21 0|20 8|20 7|20 6|20 5|20 4|20 2|20 1|20 0|19 9 47 |21 7|21 6|21 5|21 4|21 2|21 1|21 0|20 9|20 7|20 6|20 5|20 4|20 3|20 2|20 1 48 |21 9|21 8|21 6|21 5|21 4|21 3|21 1|21 0|20 9|20 8|20 6|20 5|20 4|20 3|20 2 49 |22 0|21 9|21 8|21 7|21 5|21 4|21 3|21 2|21 0|20 9|20 8|20 7|20 6|20 4|20 3 50 |22 2|22 1|21 9|21 8|21 7|21 5|21 4|21 3|21 2|21 1|20 9|20 8|20 7|20 6|20 5 | | | | | | | | | | | | | | | 51 |22 3|22 2|22 1|21 9|21 8|21 7|21 6|21 4|21 3|21 2|21 1|20 9|20 8|20 7|20 6 52 |22 5|22 4|22 2|22 1|22 0|21 8|21 7|21 6|21 5|21 4|21 3|21 1|21 0|20 9|20 7 53 |22 6|22 5|22 4|22 2|22 1|22 0|21 8|21 7|21 6|21 5|21 4|21 3|21 1|21 0|20 9 54 |22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 7|21 6|21 5|21 4|21 3|21 1|21 0 55 |22 9|22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 7|21 6|21 5|21 4|21 3|21 1 | | | | | | | | | | | | | | | 56 |23 0|22 9|22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 7|21 6|21 5|21 4|21 3 57 |23 2|23 0|22 9|22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 7|21 6|21 5|21 4 58 |23 3|23 2|23 0|22 9|22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 7|21 6|21 5 59 |23 5|23 3|23 2|23 0|22 9|22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 7|21 6 60 |23 6|23 4|23 3|23 2|23 0|22 9|22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 7 | | | | | | | | | | | | | | | 61 |23 7|23 6|23 4|23 3|23 2|23 0|22 9|22 8|22 6|22 5|22 4|22 2|22 1|22 0|21 9 62 |23 8|23 7|23 6|23 4|23 3|23 1|23 0|22 9|22 7|22 6|22 5|22 4|22 2|22 1|22 0 63 |24 0|23 8|23 7|23 5|23 4|23 3|23 1|23 0|22 9|22 7|22 6|22 5|22 4|22 2|22 1 64 |24 1|24 0|23 8|23 7|23 5|23 4|23 3|23 1|23 0|22 9|22 7|22 6|22 5|22 3|22 2 65 |24 2|24 1|23 9|23 8|23 6|23 5|23 4|23 2|23 1|23 0|22 8|22 7|22 6|22 5|22 3 | | | | | | | | | | | | | | | 66 |24 3|24 2|24 1|23 9|23 7|23 6|23 5|23 4|23 2|23 1|23 0|22 8|22 7|22 6|22 4 67 |24 5|24 3|24 2|24 0|23 9|23 7|23 6|23 5|23 3|23 2|23 1|22 9|22 8|22 7|22 6 68 |24 6|24 4|24 3|24 2|24 0|23 9|23 7|23 6|23 5|23 3|23 2|23 1|22 9|22 8|22 7 69 |24 7|24 6|24 4|24 3|24 1|24 0|23 8|23 7|23 6|23 4|23 3|23 2|23 0|22 9|22 8 70 |24 8|24 7|24 5|24 4|24 2|24 1|24 0|23 8|23 7|23 6|23 4|23 3|23 2|23 0|22 9 | | | | | | | | | | | | | | | 71 |24 9|24 8|24 6|24 5|24 4|24 2|24 1|23 9|23 8|23 7|23 5|23 4|23 3|23 1|23 0 72 |25 1|24 9|24 8|24 6|24 5|24 3|24 2|24 0|23 9|23 8|23 6|23 5|23 4|23 2|23 1 73 |25 2|25 0|24 9|24 7|24 6|24 4|24 3|24 2|24 0|23 9|23 7|23 6|23 5|23 3|23 2 74 |25 3|25 1|25 0|24 8|24 7|24 5|24 4|24 3|24 1|24 0|23 9|23 7|23 6|23 5|23 3 75 |25 4|25 3|25 1|25 0|24 8|24 7|24 5|24 4|24 2|24 1|24 0|23 8|23 7|23 6|23 4 | | | | | | | | | | | | | | | 76 |25 5|25 4|25 2|25 1|24 9|24 8|24 6|24 5|24 3|24 2|24 1|23 9|23 8|23 7|23 5 77 |25 6|25 5|25 3|25 2|25 0|24 9|24 7|24 6|24 4|24 3|24 2|24 0|23 9|23 8|23 6 78 |25 7|25 6|25 4|25 3|25 1|25 0|24 8|24 7|24 6|24 4|24 3|24 1|24 0|23 9|23 7 79 |25 8|25 7|25 5|25 4|25 2|25 1|24 9|24 8|24 7|24 5|24 4|24 2|24 1|24 0|23 8 80 |26 0|25 8|25 6|25 5|25 3|25 2|25 1|24 9|24 8|24 6|24 5|24 3|24 2|24 1|23 9 | | | | | | | | | | | | | | | 81 |26 1|25 9|25 8|25 6|25 5|25 3|25 2|25 0|24 9|24 7|24 6|24 4|24 3|24 2|24 0 82 |26 2|26 0|25 9|25 7|25 6|25 4|25 3|25 1|25 0|24 8|24 7|24 5|24 4|24 3|24 1 83 |26 3|26 1|26 0|25 8|25 7|25 5|25 4|25 2|25 1|24 9|24 8|24 6|24 5|24 4|24 2 84 |26 4|26 2|26 1|25 9|25 8|25 6|25 5|25 3|25 2|25 0|24 9|24 7|24 6|24 5|24 3 85 |26 5|26 3|26 2|26 0|25 9|25 7|25 6|25 4|25 3|25 1|25 0|24 8|24 7|24 6|24 4 | | | | | | | | | | | | | | | 86 |26 6|26 4|26 3|26 1|26 0|25 8|25 7|25 5|25 4|25 2|25 1|24 9|24 8|24 7|24 5 87 |26 7|26 5|26 4|26 2|26 1|25 9|25 8|25 6|25 5|25 3|25 2|25 0|24 9|24 8|24 6 88 |26 8|26 6|26 5|26 3|26 2|26 0|25 9|25 7|25 6|25 4|25 3|25 1|25 0|24 8|24 7 89 |26 9|26 7|26 6|26 4|26 3|26 1|26 0|25 8|25 7|25 5|25 4|25 2|25 1|24 9|24 8 90 |27 0|26 8|26 7|26 5|26 4|26 2|26 1|25 9|25 8|25 6|23 5|25 3|25 2|25 0|24 9 | | | | | | | | | | | | | | | 91 |27 1|26 9|26 8|26 6|26 5|26 3|26 2|26 0|25 9|25 7|25 6|25 4|25 3|25 1|25 0 92 |27 2|27 0|26 9|26 7|26 6|26 4|26 2|26 1|25 9|25 8|25 6|25 5|25 4|25 2|25 1 93 |27 3|27 1|27 0|26 8|26 7|26 5|26 3|26 2|26 0|25 9|25 7|25 6|25 5|25 3|25 2 94 |27 4|27 2|27 1|26 9|26 7|26 6|26 4|26 3|26 1|26 0|25 8|25 7|25 5|25 4|25 3 95 |27 5|27 3|27 2|27 0|26 8|26 7|26 5|26 4|26 2|26 1|25 9|25 8|25 6|25 5|25 3 --------------------------------------------------------------------------------

CALCULATIONS OF THE PONDERAL INDEX Statures from 181 to 195 centimetres; weights from 46 to 95 kilograms

-------------------------------------------------------------------------------- W k| e i| i l| g i o| h n g| t r| s a| Statures in centimetres m|-------------------------------------------------------------------------- s||181| 182| 183| 184| 185| 186| 187| 188| 189| 190| 191| 192| 193| 194| 195 -----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+---- 46 |19 8|19 7|19 6|19 5|19 4|19 3|19 2|19 1|19 0|18 9|18 8|18 7|18 6|18 5|18 4 47 |19 9|19 8|19 7|19 6|19 5|19 4|19 3|19 2|19 1|19 0|18 9|18 8|18 7|18 6|18 5 48 |20 1|20 0|19 9|19 7|19 6|19 5|19 4|19 3|19 2|19 1|19 0|18 9|18 8|18 7|18 6 49 |20 2|20 1|20 0|19 9|19 8|19 7|19 6|19 5|19 4|19 3|19 2|19 1|19 0|18 9|18 8 50 |20 4|20 2|20 1|20 0|19 9|19 8|19 7|19 6|19 5|19 4|19 3|19 2|19 1|19 0|18 9 | | | | | | | | | | | | | | | 51 |20 5|20 4|20 3|20 2|20 0|19 9|19 8|19 7|19 6|19 5|19 4|19 3|19 2|19 1|19 0 52 |20 6|20 5|20 4|20 3|20 2|20 1|20 0|19 9|19 8|19 6|19 5|19 4|19 3|19 2|19 1 53 |20 8|20 6|20 5|20 4|20 3|20 2|20 1|20 0|19 9|19 8|19 7|19 6|19 5|19 4|19 3 54 |20 9|20 8|20 7|20 5|20 4|20 3|20 2|20 1|20 0|19 9|19 8|19 7|19 6|19 5|19 4 55 |21 0|20 9|20 8|20 7|20 6|20 4|20 3|20 2|20 1|20 0|19 9|19 8|19 7|19 6|19 5 | | | | | | | | | | | | | | | 56 |21 1|21 0|20 9|20 8|20 7|20 6|20 5|20 4|20 2|20 1|20 0|19 9|19 8|19 7|19 6 57 |21 3|21 1|21 0|20 9|20 8|20 7|20 6|20 5|20 4|20 3|20 2|20 0|19 9|19 8|19 7 58 |21 4|21 3|21 2|21 0|20 9|20 8|20 7|20 6|20 5|20 4|20 3|20 2|20 1|20 0|19 9 59 |21 5|21 4|21 3|21 2|21 0|20 9|20 8|20 7|20 6|20 5|20 4|20 3|20 2|20 1|20 0 60 |21 6|21 5|21 4|21 3|21 2|21 0|20 9|20 8|20 7|20 6|20 5|20 4|20 3|20 2|20 1 | | | | | | | | | | | | | | | 61 |21 7|21 6|21 5|21 4|21 3|21 2|21 1|20 9|20 8|20 7|20 6|20 5|20 4|20 3|20 2 62 |21 9|21 7|21 6|21 5|21 4|21 3|21 2|21 1|20 9|20 8|20 7|20 6|20 5|20 4|20 3 63 |22 0|21 9|21 7|21 6|21 5|21 4|21 3|21 2|21 1|20 9|20 8|20 7|20 6|20 5|20 4 64 |22 1|22 0|21 9|21 7|21 6|21 5|21 4|21 3|21 2|21 1|20 9|20 8|20 7|20 6|20 5 65 |22 2|22 1|22 0|21 9|21 7|21 6|21 5|21 4|21 3|21 2|21 1|20 9|20 8|20 7|20 6 | | | | | | | | | | | | | | | 66 |22 3|22 2|22 1|22 0|21 8|21 7|21 6|21 5|21 4|21 3|21 2|21 0|20 9|20 8|20 7 67 |22 4|22 3|22 2|22 1|22 0|21 8|21 7|21 6|21 5|21 4|21 3|21 2|21 0|20 9|20 8 68 |22 6|22 4|22 3|22 2|22 1|21 9|21 8|21 7|21 6|21 5|21 4|21 3|21 2|21 0|20 9 69 |22 7|22 5|22 4|22 3|22 2|22 1|21 9|21 8|21 7|21 6|21 5|21 4|21 3|21 1|21 0 70 |22 8|22 6|22 5|22 4|22 3|22 2|22 0|21 9|21 8|21 7|21 6|21 5|21 4|21 2|21 1 | | | | | | | | | | | | | | | 71 |22 9|22 8|22 6|22 5|22 4|22 3|22 1|22 0|21 9|21 8|21 7|21 6|21 5|21 3|21 2 72 |23 0|22 9|22 7|22 6|22 5|22 4|22 2|22 1|22 0|21 9|21 8|21 7|21 6|21 4|21 3 73 |23 1|23 0|22 8|22 7|22 6|22 5|22 3|22 2|22 1|22 0|21 9|21 8|21 7|21 5|21 4 74 |23 2|23 1|22 9|22 8|22 7|22 6|22 4|22 3|22 2|22 1|22 0|21 9|21 8|21 6|21 5 75 |23 3|23 2|23 0|22 9|22 8|22 7|22 6|22 4|22 3|22 2|22 1|22 0|21 8|21 7|21 6 | | | | | | | | | | | | | | | 76 |23 4|23 3|23 1|23 0|22 9|22 8|22 7|22 5|22 4|22 3|22 2|22 1|21 9|21 8|21 7 77 |23 5|23 4|23 2|23 1|23 0|22 9|22 8|22 6|22 5|22 4|22 3|22 2|22 0|21 9|21 8 78 |23 6|23 5|23 3|23 2|23 1|23 0|22 9|22 7|22 6|22 5|22 4|22 3|22 1|22 0|21 9 79 |23 7|23 6|23 4|23 3|23 2|23 1|22 9|22 8|22 7|22 6|22 5|22 3|22 2|22 1|22 0 80 |23 8|23 7|23 5|23 4|23 3|23 2|23 0|22 9|22 8|22 7|22 6|22 4|22 3|22 2|22 1 | | | | | | | | | | | | | | | 81 |23 9|23 8|23 6|23 5|23 4|23 3|23 1|23 0|22 9|22 8|22 7|22 5|22 4|22 3|22 2 82 |24 0|23 9|23 7|23 6|23 5|23 4|23 2|23 1|23 0|22 9|22 7|22 6|22 5|22 4|22 3 83 |24 1|24 0|23 8|23 7|23 6|23 5|23 3|23 2|23 1|23 0|22 8|22 7|22 6|22 5|22 4 84 |24 2|24 1|23 9|23 8|23 7|23 5|23 4|23 3|23 2|23 1|22 9|22 8|22 7|22 6|22 5 85 |24 3|24 2|24 0|23 9|23 8|23 6|23 5|23 4|23 3|23 1|23 0|22 9|22 8|22 7|22 5 | | | | | | | | | | | | | | | 86 |24 4|24 3|24 1|24 0|23 9|23 7|23 6|23 5|23 4|23 2|23 1|23 0|22 9|22 8|22 6 87 |24 5|24 3|24 2|24 1|24 0|23 8|23 7|23 6|23 4|23 3|23 2|23 1|23 0|22 8|22 7 88 |24 6|24 4|24 3|24 2|24 0|23 9|23 8|23 7|23 5|23 4|23 3|23 2|23 0|22 9|22 8 89 |24 7|24 5|24 4|24 3|24 1|24 0|23 9|23 7|23 6|23 5|23 4|23 3|23 1|23 0|22 9 90 |24 8|24 6|24 5|24 4|24 2|24 1|24 0|23 8|23 7|23 6|23 5|23 3|23 2|23 1|23 0 | | | | | | | | | | | | | | | 91 |24 9|24 7|24 6|24 4|24 3|24 2|24 1|23 9|23 8|23 7|23 5|23 4|23 3|23 2|23 1 92 |24 9|24 8|24 7|24 5|24 4|24 3|24 1|24 0|23 9|23 8|23 6|23 5|23 4|23 3|23 2 93 |25 0|24 9|24 8|24 6|24 5|24 4|24 2|24 1|24 0|23 8|23 7|23 6|23 5|23 4|23 2 94 |25 1|25 0|24 8|24 7|24 6|24 4|24 3|24 2|24 1|23 9|23 8|23 7|23 6|23 4|23 3 95 |25 2|25 1|24 9|24 8|24 7|24 5|24 4|24 3|24 1|24 0|23 9|23 8|23 6|23 5|23 4 --------------------------------------------------------------------------------

INDEX

(_A.--Names_)

AGYBA, Hilany, 110

Alix, 319

Ammon, 217

Aristotle, 9

Auvard, Alfred, 175

BAJENOFF, N., 250

Bateson, William, 63

Beethoven, Ludwig v., 268

Bellini, 264

Bencivenni, Ildebrando, 15

Benedickt, 446

Bianco, 131

Bichat, Xavier, 183

Binet, Alfred, 184, 217, 219, 223, 230, 231, 235, 244, 250, 273, 274, 275

Bischoff, Theodor L. W., 229

Blumenbach, Johann Friedrich, 320

Bonnifay, Jules, 165, 166, 235

Borghese, Pauline, 267, 270

Botticelli, Sandro, 80

Boxich, G. T., 101, 102

Boyd, 225, 227

Broca, Paul, 1, 2, 201, 208, 210, 212, 213, 221, 228, 229, 243, 250, 251, 254, 321, 364, 377, 382

Brugia, Raffaele, 244, 271, 355

Bruno, Giordano, 340

Buffon, 110

Byron, Lord, 256

CABANIS, 135

Caianus, 110

Calcagni, Menotti, 416

Calori, 229

Camper, 370, 382

Carducci, Giosue, 15, 470

Carrara, Mario, 318

Cassan, 154

Cavalieri, Lina, 264, 267

Celli, 160

Cervesato, 153

Collignon, René, 73, 381

Correns, 50

Cromwell, Oliver, 256

Cuénot, Lucien, 51

Cuvier, 256, 260

DAFFNER, Franz, 138, 236, 237

Dante, 246, 359

Darbishire, 55

Darwin, Charles, 2, 3, 46, 264, 280, 340, 455

Davenport, Charles Benedict, 455

De Giovanni, Achille, 11-14, 17, 96, 98, 99, 101, 364, 428, 465

Deniker, Joseph, 109, 110, 211, 217, 242, 243

De Sanctis, Sante, 146, 149, 151, 156, 281, 319, 352, 408, 409, 425, 446

Dubois, Eugène, 192, 257

Duncan, 173

Dunker, 455

FAWCETTE, 217

Fenelon, 142

Féré, Ch., 301

Ferri, Enrico, 250

Ferriani, Lino, 413

Figueira, Fernandes, 113

Fraebelius, 296

GALTON, Francis, 455

Garibaldi, Giuseppe, 340

Geffroy-Saint-Hilaire, Éttienne, 46

Godin, Paul, 83, 182, 282, 298, 309, 325

Goethe, 469

Goldstein, 284, 296

Gosio, 137

HAECKEL, Ernst Heinrich, 38, 200, 343

Heinke, 455

Helguero, Fernando de, 460

Herodotus, 340

Hertoghe, 155

Höller, von, 208

Homer, 339

Hrdlicka, Ales, 84, 128, 218, 349

Humphry, 200

Huxley, 38

Hurst, C. C., 50

INGERSLEVS, 173

JAEST, 110

James, William, 140

Johannson, 217

KOCH, Robert, 159

Kollman, 210

LALOY, 40

Lamarck, 2, 46

Lange, 140

Lapique, Louis, 257

Lasegue, 146

Lebon, 230, 250

Lelut, 338

Leopardi, 244

Le Play, 452, 453

Lexis, 115

Linnaeus, 2, 320

Livi, Ridolfo, 110, 111, 129, 181, 182, 183, 215, 218, 369, 393, 397, 402

Lombroso, Cesare, 4-10, 11, 14, 17, 67, 101, 103, 244, 257, 339, 340, 341, 343, 351, 384, 411, 416, 445

Lombroso, Gina, 313

Luccheni, 15

Luciani, Luigi, 153

Ludwig, 455

MACDONALD, 85, 167

Mahomed, 135

Malpighi, Marcello, 319

Mancini, Maria, 264

Manouvrier, Léon, 74, 76, 81, 88, 90, 91, 119, 230, 257, 258, 268, 375

Mantegazza, Paolo, 261

Marconi, Guglielmo, 15

Marro, Antonio, 130, 131, 142

Massa, Signorina, 185, 293

Massini, 224, 225

Maurel, 299, 301

Mazzoni, Ofelia, 288

Meckel, 154

Mendel, Gregor, 50, 51, 53, 56, 58, 60, 62, 64, 66, 455, 460

Messedaglia, 257

Meunier, 176

Michelangelo, 340

Mill, John Stuart, 10

Misdea, Michele, 412

Moige, 148

Moleschott, Jakob, 340

Monti, 364

Morel, 6, 339

Morselli, Enrico, 6, 21-23, 319, 344

Mosso, Angelo, 364

Musolino, 15

NAEGELI, Karl Wilhelm von, 46, 47

Newton, Sir Isaac, 398

Niceforo, Alfredo, 19, 127, 182, 184, 253

Nietzsche, Friedrich, 251

OLORIZ, 130

PAGLIANI, 131, 296

Parchappe, 250

Pastorello, 419

Pearson, Karl, 217

Pieraccini, 120, 121

Pinard, 173

Purkinje, 319

QUÉTÉLET, Lambert Adolphe-Jacques, 10, 65, 110, 113, 117, 179, 217, 233, 234, 235, 295, 297, 391, 393, 398, 400, 454, 455, 459, 469

RANKE, 210

Retzius, Anders Adolph, 207, 208, 210, 212, 213

Rosa, 48, 49, 50

Rossi, 345, 347, 348

Rousseau, Jean Jacques, 141, 355

Rubens, 80

Russell, 50

Rütimeyer, Louis, 208

SACCHI, 164

Sandler, 118

Schafer, 173

Schiller, 256

Schultze, 38

Séguin, Édouard, 33, 426, 449

Sergi, Giuseppe, 14-21, 60, 62, 109, 202, 205, 207, 208, 209, 243, 270, 323, 327, 371, 428, 450, 451

Sergi, Sergio, 221, 247, 327

Sick, 152, 153

Simon, 223

Stoppato, 153

Stratz, 86, 113

TARDE, 261

Thulié, Henri, 441

Topinard, Paul, 110, 210, 211, 243

Tschermack, E., 50

Türcker, Ada, 412

VERONESE, Paolo, 104

Verworn, 39

Vierordt, 180

Viola, Giacinto, 65, 364, 455, 461, 463, 464, 465, 468

Virchow, Rudolf, 208, 243

Vitali, Vitale, 232, 235

Vitruvius, 315

Voltaire, 140

Vries, Hugo de, 47, 50, 62, 455

WAGNER, 228

Welcker, Hermann, 200, 224, 225

Wernicke, 173

Westermarck, 217

Winckel, 172

ZANDER, 154

Zanolli, Velio, 257

Zimmermann, 314

INDEX

(_B.--Subjects_)

ABDOMEN, measurements of the, 386

Abnormal types of man, 94

Abortion due to syphilis, 157

Akkas, stature of the, 108-09

Acromegalia, 154

Addison's disease, 154

Albinism, 329

Anatomical points, 361, 373, 374, 378, 385

Anger, expression of, 279

Angles, facial, 269, 381-382

Anomalies of buccal apparatus, 336 of ear, 333-335 of eye, 333 of eyebrows and beard, 331 of hair, 330 of nose, 335-336 of pigment, 329 of teeth, 336 of thorax, 300, 301 of wrinkles, 329

Antecedents of pupil, 405 _et seq._ near biopathological, 407 remote, 406 sociological, 411

Anthropological form used in New York Juvenile Asylum, 421

Anthropology, criminal, 4-11 defined, 1 physiological, 11-14 technique of, 361-387

Anthropometer, 362-363

Ape, brain of, 229

Arms, total spread of, 69, 74, 310, 367

Arrest of development, 145-170, 295 due to alcohol, 156 due to infant illnesses, 162 due to malaria, 160-161 due to pellagra, 161 due to rickets, 164 due to syphilis, 157

Asymmetry, cranial, 196, 372 facial, 271, 282, 346, 383 functional, 271

BIOGRAPHIC chart, Commune of Bologna, 431 of Italian reformatories, 432 Pastorello's, 420 Sergi's, 429

Biographic history of pupil, 404 pedagogical advantages of, 441 of an idiot boy, 431 _et seq._

Birth-marks, 329

Brachycephalic races, 214

Brachydactylism, 317

Brachyscelia, 82-91

Brain, chemistry of, 247 convolutions of, 221-223 embryonal development of, 220-221 morphological normality in relation to age, 237 rhythm of growth of, 225-227 volume of, 229 weight of, 224

Brunettes, suppressed, 324

Buccal apparatus, anomalies of, 336

CALF of leg, absence of, 311

Carnet maternel, 174-175, 273

Cells, animal, 43 vegetable, 43

Cephalic index, 207-220 at different ages, 217 for Italy, 214 nomenclature, 210-211

Cephalometry, 370

Cephaloscopy, 370

Cerebral development, influence of biological factor upon, 255 influence of economic conditions, 253 influence of exercise, 254

Cerebral hypophysis, 152, 153

Cervical pleiades, 157

Chameprosopic face, 263, 265

Chiromancy, 312, 318

Childbirth, dangerous modern, 307

Children's Houses, 123-124, 138, 143-145, 280, 288, 422, 423, 443

Chinese, civilization of, 91-92 psycho-ethnic character of, 77

Chromatic charts, Broca's, 321

Circumference, axillary, 385 of cranium, 233-242, 376 submammary, 385 of thorax, 368, 385

Club-foot, 312

Convolutions of the brain, 222-223

Coordinates, 394

Craniology, 186-283

Craniometric points, 373-374

Craniometry, 370, 373

Cranioscopic norms, 371-372

Cranioscopy, 370

Cranium, animal, 189 bones of human, 187-188 characteristics of human, 191-192 measurements of, 369-385 morphological evolution of, 197 of new-born child, 197 normal forms of, 202 ossification of, 200-201 varieties of: acrocephalic, 207, 374 beloid, 205 clinocephalic, 207, 372 cuboid, 205 cymbocephalic, 372 ellipsoid, 203 ovoid, 203-204 oxycephalic, 372 pentagonoid, 204 plagiocephalic, 196, 372 platycephalic, 205 rhomboid, 204 scaphocephalic, 196, 372 sphenoid, 205 spheroid, 205 trapezoid, 206 trigonocephalic, 371 volume of, 220-259, 377

Criminals, non-violent, types of, 101-102 violent, types of, 102 stature in, types of, 101, 103

Cubic index, Broca's, 377

Curves, De Helguero's, 460

DEFORMATIONS, definition of, 344 due to field labour, 121 due to mining, 121 due to school benches, 122, 302, 307, 349 due to stone-breaking, 121

Degeneration, signs of: abnormal frontal diameters, 384 kinky hair, 330 polytrichia, 330 precocious wrinkles, 330 united eyebrows, 331 social causes of, 6

Dentition, record of first, 410

Diameter, biacromial, 385 bigoniac, 379, 383 bimammillary, 385 bizygomatic, 379, 383 of cranium, maximum antero-posterior, 374

Diameter of cranium, maximum transverse, 375 minimum frontal, 384 vertical, 375 of thorax, antero-posterior, 385 transverse, 385

Diameter of cranium, increase of maximum, 231 measurement of, 374

Diastemata, 337

Diet of children, 127

Dimensions of the body at different ages, 146-147

Dismimia, 282

Dolichocephalic races, 214

Dystrophies, toxical, 162

EAR, anatomy of, 334 anomalies of, 333-335 handle-shaped, 346 Morel's, 335 Wildermuth's, 335

Education of new-born child, 442

Electricity, effect on growth of stature, 139

Embryo, development of human, 45, 72

Embryonal face, 272

Environment, adaptation to, 79 influence of, 415

Enzymes, 154, 155 Ludwig's theory of, 42

Epilepsy, 136 a factor in criminality, 445 treatment of, 446

Error, personal, 387-390, 457

Eurafrican race, 214, 270

Eurasian race, 79, 214, 323

Evolution, theories of, 46-50

Exophthalmia, 333

Experimental sciences defined, 23

Expression, facial, 276 et seq.

Extra-social types, 103-105

Eye, anomalies of, 333 Mongolian, 333

Eyebrows, oblique, 331 united, 331

FACE, chameprosopic, 262 embryonal, 272 evolution of, 272 human characteristics of, 260 leptoprosopic, 262 limits of, 259 _et seq._ mesoprosopic, 263 orbicular, 263 skeleton of, 188-189 symmetry of, 383

Facial norm, 378

Family monograph, Le Play's, 452

Final causes, 40-42

Fingers, proportion between, 316

Flat-foot, 311

Fontanelles, cranial, 197

Form, the, 67-75, 361-369 canons of the, 74 et seq. definition of, 69 fundamental laws of, 69

Freckles, 329

Frontal index, 232

GALLOWAY, stature of Scotchmen of, 108-109

Gastrula, 45

Generation, hygiene of, 173, 176

Genius, man of, 264, 469, 476

Germinal potentialities, 63, 64

Gigantism, 104

Glands of internal secretion, 151-155, 163, 164

Goniometer, Broca's, 382

Gray hair, 326, 330 precocious, 330

Growth, defined, 81 effect of psychic stimuli on, 140-145 need of heat for, 132 of brain, due to alimentation, 245 due to cerebral exercise, 245 in woman, 227 rhythm of, 225, 226, 227 of head, rhythms of, 274 of limbs, 309 of neck, 282 of pelvis, 306 of stature, 112-114 of thorax, 294

HAIR, curly, 327, 328 form of, 327-329 kinky, 327, 328 pigmentation of, 323-325, 327 smooth, 327 vortices, 330 wavy, 327, 328

Hair-roots, line of, 330

Hand, the, 312-319 dimensions of, 315 functional characteristics of, 316 in figurative speech, 313-314 in relation to other dimensions of the body, 315 psychological types of, 314

Heart, the, 285

Heredity, phenomena of, 50

Hexadactylism, 317

Hybridism, human, 60-65, 78, 79, 351, 467, 471 phenomena of, 51-67

Hygiene of generation, 173, 176

Hymn to bread, 126

Hypermimia, 281

Hypersthenic type, De Giovanni's, 99-100

Hyposthenic type, De Giovanni's, 96-98

Hypothyroidea, 153

ICHTHYOSIS, 329

Index, cephalic, 207-220, 376 of ear, 380 facial, 380-381 of nose, 380 ponderal, 368 of segments of limbs, 310 of sexual mass, 257 thoracic, 299, 385 of visage, 263 vital, 296, 368

Indices, formula of, 367

Individual liberty of pupil, 123

Infantile atrophy, 153 types, 147-151

Infantilism, 146-164 due to alcohol, 156-157 anangioplastic, 162 due to denutrition, 162 dystrophic, 155-162 hereditary causes of, 155 hypertrophic, 162 myxedematous, 153, 155-156 pathogenesis of, 151 _et seq._ due to syphilis, 157, 158 due to tuberculosis, 159

Intelligence, human, what it is, 252 human, how to diagnose it, 253 cerebral volume in relation to, 250

Invagination of cells, 43

Iris, pigmentation of, 325

Italians, stature of, 110-111

JAPANESE, stature of, 110

Joints, loose and stiff, 311

Juvenile delinquents, antecedents of, 413 psycho-physical character of, 413 teachers' notes on, 414

Knock-knees, 312

Kyphosis, 303, 306

LATIUM, young women of, 65, 78, 111, 216, 466

Leg, calf of, 311 curvature of, 312

Leptoprosopic face, 262

Liberty of children, 144

Light, effect on growth of stature, 136, 138

Limbs, the, 308-319 growth of, 309 index of segments of, 310 malformations of, 310 measurement of, 386

Limitations of mass, 40-42

Little's disease, 312, 408

Livi's charts, 110, 393

Lordosis, 303, 306

Lungs, the, 286-287

MACROCEPHALY, 243

Macrodontia, 337

Macroglossia, 338

Macroplastic type, 119

Macroscelia, 77, 88-90

Malformations, 331-350 distribution of, 344-350 of cranium, 195-6 of limbs, 310 origin of, 355 synoptic chart of, 332

Marie's disease, 154

Marriage, proper age for, 118 precocious, 117

Maternal diaries, 409

Mean averages, 391

Measurement of abdomen, 386 of cranium, 375-377 of face, 378-385 of limbs, 386-387 of stature, 362-366 of thorax, 385 of total spread of arms, 367

Medial man, theory of the, 65, 454-470

Mediterranean race, 79, 214, 264, 270, 323

Melanosis, 329

Mendel's laws, 50-59

Mesoprosopic face, 263

Metabolism, 40-42, 124

Method, importance of, in experimental sciences, 23-30

Methodology, statistical, 391-403

Microcephaly, 243

Microdontia, 337

Microphthalmia, 333

Mongolians the most brachyscelous race, 77

Monkey-like traits: flat hand, 317 lack of certain lines in palm, 318

Monkey-like, long forearm, 310 thin lips, 336

Morphological adaptation of hand, 314 combinations, De Giovanni's, 65 evolution of cranium, 197

Morphology of body at various ages, 146-147 of the brain, 247 importance of, 338

Mortality, curve of general, 115 infant, in relation to vital index, 296 in Italy, 293

Morula, 44

Mother's love, psychic stimulus of, 142

Multicellular organisms, formation of, 42-46

Muscles of head and face, 277-278 of thorax, 285

Mutations, De Vries' theory of, 47

Myxedematous idiocy, 153

NAILS, the, 317

Nanism, achondroplastic, 103-105

Neanderthal skull, 192

Neck, the, 282-283

Norm, facial, 378 frontal, 372 lateral, 372 occipital, 372 of profile, 379 vertical, 371

Nose, anomalies of, 335-336

Nutrition, influence of, on school children, 418

OLIGODACTYLIA, 316

Onycogryposis, 317

Orientation, line of, 265

Orthognathism, 268, 271

Ovum, human, 44

PALATE, cleft, 272 ogival, 338, 352

Palms, lines of the, 318

Papillary lines, 319

Paralysis, infantile, 408

Parasites, social duty towards, 168

Parasitism, stigma of, 314, 317

Peasant, class stigma of, 271, 326, 346

Pedagogical method, need of reform in, 123, 144, 302

Pellagra, symptoms of, 161

Pelvis, 304-307 growth of, 306 rotation of, 307 sexual differences in, 305 skeleton of, 304

Personal error, 387-390, 457

Photogenic conditions, 136-138

Phototherapy, 136

Pia Barolo society, 131

Pigments, the, 320-331 during growth, 323

Pigmentation of hair, 326 of iris, 325 of skin, 325

Pigmy races, 109

Pithecanthropus, skull of, 192

Plagiocephalic cranium, 196, 372

Plagioprosopy, 271, 383

Platyopic profile, 271

Playthings, children's natural contempt for, 143

Pleasure, expression of, 279 necessary to human existence, 141

Polytrichia, 330

Polydactylism, 317

Ponderal index, 181 evolution of, 183, 184 method of computing, 181-183

Pregnancy, too frequent, 173

Profile, Egyptian, 270 Greek, 269 low types of, 271 norm of, 379 proopic, 271 Roman, 269

Progeneism, 267, 385

Prognathism, 267, 268, 385

Prophatnia, 385

Prosopometry, 379-385

Prosoposcopy, 378-379

Protoplasm, 38

Psychic stimuli, effect on health of children, 144 test, De Sanctis', 425

Puberty, change in pigments at, 323, 326 growth of jaw at, 274 of limbs at, 310 of nose at, 274 influence of climate on, 135-136 of cold on, 132 of direct sexual stimuli on, 131 of heat on, 135 of nutrition on, 130-132 of psychic stimuli on, 134, 141, 142 repose preceding, 115 of Russian girls, 135 of women of Lapland, 135 relation of growth of brain and face to, 230

Pulmonary capacity, 288-294

QUÉTÉLET'S binomial curve, 398

RACE, Eurafrican, 214, 270 Mediterranean, 79, 214, 264, 270, 323

Rachitic rosary, 302

Racial types in Europe, different characteristics of two principal, 353

Rewards and punishments, fallacy of, 123, 144-145, 432, 441, 443

Rhythm of brain growth, 232-236 of facial growth, 274 of stature, triennial, 113

Rickets, 97, 103, 164-166, 244, 268, 296, 302 foetal, 103

SCHOOL benches, deformations due to, 122, 302, 307, 349 records, 411

School-sanatorium, 160

Scientific philosophy, Morselli's, 21

Sea-shore, benefit to children, 136-137

Seriation, 396 importance of, 455

Sexual education, 356 function, dignity of the, 126 morality, 117, 126, 473-476

Sitting stature, 365-366 at different ages, 85

Skeleton, human, 71-72 articulations of, 107 of face, 188-189 of limbs, 308 of pelvis, 304

Skin, the, 320-344

Solitary confinement, 141

Sorrow, expression of, 278

Space, empirical relation to stature, 139

Specific gravity, of body, 178 of brain, 229

Spirometry, 288-294, 385

Stature, 106-171 of abnormals, 167 according to sex, 80 _et seq._ of American children, 128 brachyscelous type of, 75 cycle of, 363 definition of, 70, 106, 362 in relation to dimensions of thorax, 295-297 effect of nutrition on, 124-132 of erect position on, 120 of heat on, 132-136 essential, 73 mean average, of European, 459 growth in, during first year, 112-113 index of, 84, 366, 367 involution of, 114 of Italians, mean average, 392

Stature, Livi's charts of, 110-111 macroscelous type of, 76 maximums and minimums, compared with cranial circumference, 238-242 measurement of, 362 parabolic curve of, 112, 114 pathological variations of, 145-170 of rachitic children, 165 racial limits of, 108-111 in relation to sex, 111-112 rhythm of, 86 summary of, 170-171 terminology of, 110 total, at different ages, 85 triennial rhythm of growth of, 113-114 types of, 67 _et seq._ abnormal, 91 according to age, 81 in art, 80 according to race, 77 according to social conditions, 79 summary of, 105-106 variations in, according to age, 112-118 according to seasons, 138 due to mechanical causes of adaptation, 119-124 night and morning, 119 transitory, 120

Sterility of dwarfs and giants, 104 due to precocious marriage, 117 due to work in rice-fields, 121

Stigmata of degeneration, 342 among beggars, 348 among orphans, 348

Stimulants poisons for children, 127

Studious children, denutrition of, 185 physical inferiority of, 25, 159, 185, 293

Sun-baths, 137

Superiority, social, 258 of women, moral, 259

Suprarenal capsule, 152, 154

Surprise, expression of, 279-280

Syndactylism, 317

Syphilis, abortion due to, 157 symptoms of, 157-158

TASMANIAN, civilization of, 92-93 most macroscelous race, 77

Teacher of the future, the, 360 of abnormal pupils, 449 responsibility of the, 116

Teeth, anomalies of the, 336 first and second dentition, 336

Temperaments, De Giovanni's doctrine of, 12-14

Thermal gymnastics, 133-134

Thermic conditions of schools, 132-135

Thoracic index, 299 perimeter, 368

Thorax, the, 284-303 anatomical parts of, 284-286 anomalies of shape of, 301 descent of, 294 dimensions of, in relation to stature, 295, 297 growth of, 294 measurement of, 385 physiological importance of, 286 shape of, 299 triangulation of, 295

Thought, expression of, 280

Thymus gland, 152, 153

Thyroid gland, 152-153

Toe, opposable big, 311

Tongue, the, 338

Total spread of arms, 367

Tuberculosis, 291

Type of civilized man, 468

UVULA, double, 338

VERTEBRAL column, normal curves of, 107-108

Visage, index of, 263 normal, 262 Roman, 263

Vital index, 296, 368

Voice, education of the, 287-288

WARMTH, fallacy of demoralizing effect of, 133-134

Weight, the, 172-185, 368 of brain, 224 the, as exponent of health, 172 of new-born child, 172 of child, effect of too frequent pregnancy on, 173 of child, effect of mother's age on, 173 child's gain in, 174 and growth of separate organs, comparative, 180 child's loss in, significance of, 176 increase according to sex, 179

Women, fallacy of pretended cerebral inferiority of, 256

Wrinkles, anomalies of, 329 precocity of, 326, 329

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End of Project Gutenberg's Pedagogical Anthropology, by Maria Montessori