English Embroidered Bookbindings
Chapter 5
EMBROIDERED BOOKS
The application of needlework to the embellishment of the bindings of books has hitherto almost escaped special notice. In most of the works on the subject of English Bookbinding, considered from the decorative point of view in distinction from the technical, a few examples of embroidered covers have indeed received some share of attention. Thus in both Mr. H. B. Wheatley's and Mr. W. Y. Fletcher's works on the bindings in the British Museum, in Mr. Salt Brassington's _Historic Bindings in the Bodleian Library_ and _History of the Art of Bookbinding_, and in my own _Portfolio_ monograph on 'Royal English Bookbindings,' some of the finer specimens of embroidered books still existing are illustrated and described. But up to the present no attempt has been made to deal with them as a separate subject. In the course, however, of the many lectures on Decorative Bookbinding which it has been my pleasure and honour to deliver during the past few years, I have invariably noticed that the pictures and descriptions of embroidered specimens have been the most keenly appreciated, and this favourable sign has led me to examine and consider such examples as have come in my way more carefully than I might otherwise have done. Very little study sufficed to show that in England alone there was for a considerable period a regular and large production of embroidered books, and further, that the different styles of these embroideries are clearly defined, equally from the chronological and artistic points of view. A peculiarly English art which thus lends itself to orderly treatment may fairly be made the subject of a brief monograph.
With the exception of point-lace, which is sometimes made in small pieces for such purposes as ladies' cuffs or collars, decorative work produced by the aid of the needle is generally large. Certainly this is so in its finest forms, which are probably to be found in the ecclesiastical vestments and in the altar frontals of the Renaissance period, or even earlier. On the other hand, such work as exists on books is always of small size, and, unlike the point-lace, it almost invariably has more than one kind of 'stitchery' upon it--chain, split, tapestry, satin, or what not.
Thus it can be claimed as a distinction for embroidered book-covers that as a class they are the smallest complete embroideries existing, ranging upwards from about 6 inches by 3-1/2 inches--the size of the smallest specimen known to me, when opened out to its fullest extent, sides and back in one. This covers a copy of the Psalms, printed in London in 1635, and is of white satin, with a small tulip worked in coloured silk on each side.
An 'Embroidered Book,' it should be said, means for my purpose a book which is covered, sides and back, by a piece of material ornamented with needlework, following a design made for the purpose of adorning that particular book. A cover consisting of merely a piece of woven stuff, or even a piece of true embroidery cut from a larger piece, is not, from my point of view, properly to be considered an 'embroidered book,' it being essential that the design as well as the workmanship should have been specially made for the book on which they are found; and this, in the large majority of instances, is certainly the case.
With regard to the transference of bindings to books other than those for which they were originally made, such a transference has often taken place in the case of mediæval books bound in ornamental metal, but even in these instances it must be recognised that such a change can seldom be made without serious detriment. It is chiefly indeed from some incongruity of style or technical mistake in the re-putting together that we are led to guess that the covers have been thus tampered with. Now and then such a transference occurs in the case of leather-bound books, and in such instances is usually easy for a trained binder to detect. Embroidered covers, on the other hand, have rarely been changed, the motive for such a proceeding never having been strong, and the risk attending it being obvious enough. We may, in fact, feel tolerably sure that the large majority of embroidered covers still remain on the boards of the books they were originally made for.
All the embroidered books now extant dating from before the reign of Queen Elizabeth have gone through the very unfortunate operation of 're-backing,' in the course of which the old embroidered work is replaced by new leather. The old head and tail bands, technically very interesting, have been replaced by modern imitations, and considerable damage has been done in distorting the work left on the sides of the book. It would seem obvious that a canvas, velvet, or satin embroidered binding, if it really must be re-backed or repaired at all, should be mended with a material as nearly as possible of the same make and colour as that of the original covering; but this has rarely been done, the large majority of such repairs being executed in leather. But in the case of such old bindings we must be grateful for small mercies, and feel thankful that even the sides are left in so many cases. It is indeed surprising that we still possess as much as we do. If all our great collectors had been of the same mind as Henry Prince of Wales, the Right Hon. Thomas Grenville, or even King George III., we should have been far worse off, as although several fine old bindings exist in their libraries, many which would now be priceless have been destroyed, only to be replaced by comparatively modern bindings, sometimes the best of their kind, but often in bad taste.
_Division of Embroidered Books according to the designs upon them._
The designs on embroidered books may be roughly divided into four classes--Heraldic, Figure, Floral, and Arabesque.
The Heraldic designs always denote ownership, and are most frequently found on Royal books bound in velvet, rarely occurring on silk or satin, and never, as far as I have been able to ascertain, on canvas. The Figure designs may be subdivided into three smaller classes, viz.:--
I. Scriptural, _e.g._ representations of Solomon and the Queen of Sheba, Jacob wrestling with the Angel, David, etc.
II. Symbolical, _e.g._ figures of Faith, Hope, Peace, Plenty, etc.
III. Portraits, _e.g._ of Charles I., Queen Henrietta Maria, Duke of Buckingham, etc.
The Scriptural designs are most generally found on canvas-bound books; the Symbolical figures, and Portraits, on satin, rarely on velvet. The Floral and Arabesque designs are most common on small and unimportant works bound in satin, but they occur now and then on both canvas and velvet books. The true arabesques have no animal or insect forms among them, the prophet Mohammed having forbidden his followers to imitate any living thing.
It may further be noted that heraldic designs on embroidered books are early, having been made chiefly during the sixteenth century, and that the figure, floral, and arabesque designs most usually belong to the seventeenth century. There are, of course, exceptions to these divisions, notably in the case of the earliest existing embroidered book, which has figure designs on both sides, but also maintains its heraldic position, inasmuch as its edges are decorated with coats-of-arms.
Naturally, again, it may be sometimes difficult to decide whether a design should be classed as heraldic or floral. Such a difficulty occurs as to the large Bible at Oxford bound in red velvet for Queen Elizabeth, and bearing a design of Tudor and York roses. I consider it heraldic, but it might, with no less appropriateness, be called floral. If it had belonged to any one not a member of the Royal family it would undoubtedly be properly counted as a floral specimen. Again, in many of the portrait bindings flowers and arabesques are introduced, but they are clearly subordinate, and the chief decorative motive of such designs must be looked for, and the work classed accordingly. Thus it is evident that the arrangement of the embroidered books by their designs cannot be too rigidly applied, although it should not be lost sight of altogether.
_Division of Embroidered Books according to the material on which they are worked._
A more useful and accurate classification may however be found by help of the material on which the embroidered work is done, and this division is obvious and easy. With very few exceptions all embroidered books, ancient and modern, are worked on _canvas_, _velvet_, or _satin_, and while canvas was used continuously from the fourteenth century until the middle of the seventeenth century, velvet was most largely used during the Tudor period, and satin during that of the early Stuarts.
Broadly speaking, the essential differences in the kind of work found upon these three materials follow the peculiarities of the materials themselves. Canvas, in itself of no decorative value, is always completely covered with needlework. Velvet, beautiful even when alone, but difficult to work upon, usually has a large proportion of appliqué, laid, or couched work, in coloured silk or satin, upon it, showing always large spaces unworked upon, and such actual work as occurs directly on the velvet is always in thick guimp or gold cord. Satin, equally beautiful in its way, is also freely left unornamented in places; the needlework directly upon it is often very fine and delicate in coloured floss silks, generally closely protected by thick raised frames or edges of metallic threads or fine gold or silver cords.
By 'metallic' threads, when they are not simply fine wires, I mean strands of silk closely (Fig. 1) or loosely (Fig. 2) wound round with narrow coils of thin metal, mostly silver or silver gilt. The use of such threads, alone, or twisted into cords, is common on all styles of embroidered books, and it is largely due to their use that pieces of work apparently of the greatest delicacy are really extremely durable--far more so than is generally supposed. Certainly if it had not been for the efficient protection of these little metal walls we should not possess, as we actually do, delicate-looking embroidered books, hundreds of years old, in almost as good condition, except in the matter of colour, as when they were originally made.
Thin pieces of metal are sometimes used alone, caught down at regular intervals by small cross stitches; this is, I believe, called 'Lizzarding' (Fig. 3). Metal is also found in the form of 'guimp,' in flattened spirals (Fig. 4), and also in the 'Purl,' or copper wire covered with silk (Fig. 5), so common on the later satin books (compare p. 46).
Spangles appear to have been introduced during the reign of Elizabeth, but they were never freely used on velvet, finding their proper place ultimately on the satin books of a later time. The spangles are generally kept in position either by a small section of purl (Fig. 6) or a seed pearl (Fig. 7), in both cases very efficaciously, so that the use of guimp or pearl was not only ornamental but served the same protective purpose as the bosses on a shield, or those so commonly found upon the sides of the stamped leather bindings of mediæval books.
It may be mentioned that the seventeenth-century Dutch binders, Magnus and Poncyn, both of Amsterdam, invented a new tool for gilding on leather bindings, used, of course, in combination with others. This was cut to imitate the small circular spangles of the embroidered books (Fig. 8), and the English and French finishers of a later period used the same device with excellent effect for filling up obtrusive spaces on the sides and backs of their decorative bindings. Thus it may be taken as an axiom that, for the proper working of an embroidered book, except it be tapestry-stitch or tent-stitch, on canvas, which is flat and strong of itself, there should invariably be a liberal use of metal threads, these being not only very decorative in themselves, but also providing a valuable protection to the more delicate needlework at a lower level, and to the material of the ground itself.
The earliest examples of embroidered bindings still existing are not by any means such as would lead to the inference that they were exceptional productions--made when the idea of the application of needlework to the decoration of books was in its infancy. On the contrary, they are instances of very skilled workmanship, so that it is probable that the art was practised at an earlier date than we now have recorded. There are, indeed, frequent notes in 'Wardrobe Accounts' and elsewhere of books bound in velvet and satin at a date anterior to any now existing, but there is no mention of embroidered work upon them.
_The Forwarding of Embroidered Books._
The processes used in the binding of embroidered books are the same as in the case of leather-bound books; but there is one invariable peculiarity--the bands upon which the different sections of the paper are sewn are never in relief, so that it was always possible to paste down a piece of material easily along the back without having to allow for the projecting bands so familiar on leather bindings (Fig. 9). The backs, moreover, are only rounded very slightly, if at all.
This flatness has been attained on the earlier books either by sewing on flat bands, thin strips of leather or vellum (Fig. 10), or by flattening the usual hempen bands as much as they will bear by the hammer, and afterwards filling up the intermediate spaces with padding of some suitable material, linen or thin leather.
In several instances the difficulty of flattening the bands has been solved, in sixteenth-and seventeenth-century embroidered books, in a way which cannot be too strongly condemned from a constructive point of view, although it has served its immediate purpose admirably.
A small trench has been cut with a sharp knife for each band, deep enough to sink it to the general level of the inner edges of the sections (Fig. 11).
This cutting of the back to make room for the bands was afterwards more easily effected by means of a saw--as it is done now--and in the eighteenth century was especially used by the French binder Derome le Jeune, who is usually made responsible for its invention.
The existence of the sunken bands on early embroidered books probably marks the beginning of this vicious system, but here there is some excuse for it, whereas in the case of ordinary leather-bound books there is none, except from the commercial standpoint.
In the case of vellum books there may be some reason for using the 'sawn in' bands, as it is certainly difficult to get vellum to fit comfortably over raised bands, although numerous early instances exist in which it has been successfully done. Again in the case of 'hollow backs,' the bands are kept flat with some reason. But for all valuable or finely bound books the system of 'sawing in' cannot be too strongly condemned.
'Sawing in' can be detected by looking at the threads in the centre of any section of a bound book from the inside. It will show as a small hole with a piece of hemp or leather lying transversely across it, under which the thread passes (Fig. 12).
In the case of a properly sewn book, the bands themselves cannot be seen at all from the inside of the sections, unless, indeed, the book is damaged (Fig. 13). If the covering of the back is off, or even loose, the method of sewing that has been used can very easily be seen; and if it appears that the bands are sunk in a small trench, that is the form of sewing that is called 'sawn in,' or analogous to it.
Although in the embroidered books the bands of the backs do not show on the surface, it is common enough to find the lines they probably follow indicated in the work on the back, which is divided into panels by as many transverse lines, braid or cord, as there are bands underneath them. But in some cases the designer has used the back as one long panel, and decorated it accordingly as one space. The headbands in some of the earlier books were sewn at the same time as the other bands on the sewing-press and drawn in to the boards, but in most early bindings the ravaging repairer has been at work and made it impossible to know for certain what was the state of the headbands before the book came into his hands. Most of the existing headbands are made by hand in the usual way, with the ends simply cut off, not indeed a very satisfactory finish. It would be better if these ends were somehow drawn in to the leather of the back, as for instance they still often are on thin vellum books.
The great majority of embroidered books, both large and small, have had ties of silk on their front edges--generally two, but sometimes only one, which wraps round. These ties have generally worn away from the outer side of the boards, but their ends can usually be traced (if the book has not been repaired) in the inner side, covered only by a thin piece of paper; and if this paper is loose, as often happens, and the ends show well, it may often be advisable not to paste it down again at that particular place.
The backs of old embroidered books are by far the weakest parts about them. If they exist at all in their old forms they are always much worn, and the work upon them so much damaged that it is often difficult to make out even the general character of the design, to say nothing of the details of the workmanship.
The edges of the leaves of books bound in England in embroidered bindings are always ornamentally treated, sometimes simply gilded, often further adorned with 'gauffred' work, that is to say, small patterns impressed on the gold, and sometimes beautifully decorated with elaborate designs having colour in parts as well. The earliest English ornamentation of this kind in colour is found on the Felbrigge Psalter and on some of the books embroidered for Henry VIII., one of which is richly painted on the fore edges with heraldic designs, and another with a motto written in gold on a delicately coloured ground.
_Cases for Embroidered Books._
Common though the small satin embroidered books must have been in England during the earlier part of the seventeenth century, it is still certain that the finer specimens were highly prized, and beautifully worked bags were often made for their protection. These bags are always of canvas, and most of them are decorated in the same way, the backgrounds of silver thread with a design in tapestry-or tent-stitch, and having ornamental strings and tassels. To describe one of these is almost to describe all. The best preserved specimen I know belongs to a little satin embroidered copy of the Psalms, printed in London in 1633, and measures 5 inches long by 4 inches in depth.
The same design is repeated on each side. A parrot on a small grass-plot is in the middle of the lower edge. Behind the bird grow two curving stems of thick gold braid, each curve containing a beautifully-worked flower or fruit. In the centre is a carnation, and round it are arranged consecutively a bunch of grapes, a pansy, a honeysuckle, and a double rose, green leaves occurring at intervals. From the lower edge depend three ornamental tassels of silver loops, with small acorns in silver and coloured silks, one from the centre and one from each corner.
The top edge has two draw-strings of gold and red braid, each ending in an ornamental oval acorn of silver thread and coloured silks, probably worked on canvas over a wooden core, ending in a tassel similar to those on the lower edge.
A long loop of gold and silver braid serves as a handle, or means of attachment to a belt, and is fixed at each side near a strong double loop of silver thread, used when pulling the bag open. The lining is of pink silk. This particular bag is perfect in colour as well as condition, but usually the silver has turned black, or nearly so. Besides these very ornamental bags, others of quite simple workmanship are occasionally found, worked in outline with coloured silks. As well as the embroidered bags, certain rectangular cloths variously ornamented, some richly, some plainly, were made and used for the protection of embroidered books, when being read. These, like the bags, only seem to have been used during the seventeenth century. A particularly fine example belongs to a New Testament bound in embroidered satin in 1640. It is of fine linen, measuring 16-1/2 by 9-1/4 inches, and is beautifully embroidered in a floral design, with thick stalks of gold braid arranged in curves and bearing conventional flowers and leaves, all worked in needle-point lace with coloured silks in a wonderfully skilful manner.
In the centre is a double red rose with separate petals, and among the other flowers are corn-flowers, honeysuckles, carnations, strawberries, and several leaves, all worked in the same way, and appliqués at their edges. Some, however, of the larger leaves and petals are ornamentally fastened down to the linen by small coloured stitches arranged in lines or patterns over their surfaces, as well as by the edge stitches. There are several spangles scattered about in the spaces on the linen, and the edge is bound with green silk and gold. On the book itself to which this cover belongs there is a good deal of the same needle-point work, probably executed by the same hand; but the cover is a finer piece altogether than the book,--in fact it is the finest example of such work I have ever seen.
Abroad there have been made at various times embroidered bindings for books, but in no country except England has there been any regular production of them. I have come across a few cases in England of foreign work, the most important of which I will shortly describe. In the British Museum is an interesting specimen bound in red satin, and embroidered with the arms of Felice Peretti, Cardinal de Montalt, who was afterwards Pope Sixtus V.; the coat-of-arms has a little coloured silk upon it, but the border and the cardinal's hat with tassels are all outlined in gold cord. The work is of an elementary character. The book itself is a beautiful illuminated vellum copy of Fichet's _Rhetoric_, printed in Paris in 1471, and presented to the then Pope, Sixtus IV. In the same collection are a few more instances of Italian embroidered bindings, always heraldic in their main designs, the workmanship not being of any particular excellence or character. Perhaps altogether the most interesting Italian work of this kind was done on books bound for Cardinal York, several of which still remain, embroidered with his coat-of-arms, one of them being now in the Royal Library at Windsor. Although the actual workmanship on these books is foreign, we may perhaps claim them as having been suggested or made by the order of the English Prince himself, inheriting the liking for embroidered books from his Stuart ancestors.
French embroidered books are very rare, and I do not know of any examples in England. Two interesting specimens, at least, are in the Bibliothèque Nationale, and are described and figured in Bouchot's work on the artistic bindings in that library. The earlier is on a book of prayers of the fifteenth century, bound in canvas, and worked with 'tapisserie de soie au petit point,' or as I should call it, tent-, or tapestry-, stitch. It represents the Crucifixion and a saint, but M. Bouchot remarks of it, 'La composition est grossière et les figures des plus rudimentaires.'
The other instance occurs on a sixteenth-century manuscript, 'Les Gestes de Blanche de Castille.' It is bound in black velvet, much worn, and ornamented with appliqué embroideries in coloured silks, in shading stitch, probably done on fine linen. The design on the upper cover shows the author of the book, Etienne le Blanc, in the left-hand corner, kneeling at the feet of Louise de Savoie, Regent of France, to whom the book is dedicated. Near her is a fountain into which an antlered stag is jumping, pursued by three hounds.
The Dutch, in the numerous excellent styles of bindings they have so freely imitated from other nations, have not failed to include the English embroidered books. In the South Kensington Museum is a charming specimen of their work on satin, finely worked in coloured silks with small masses of pearls in a rather too elaborate design of flowers and animals. In the British Museum, besides other instances of Dutch needlework, there is a very handsome volume of the _Acta Synodalis Nationalis Dordrechti habitæ_, printed at Leyden in 1620, and bound in crimson velvet. It has the royal coat-of-arms of England within the Garter, with crest, supporters, and motto, all worked in various kinds of gold thread; in the corners are sprays of roses and thistles alternately, and above and below the coat are the crowned initials J. R., all worked in gold thread.
_Hints for Modern Broiderers._
Many book-covers have been embroidered during the last few years in England by ladies working on their own account, or by some of the students at one or other of the many excellent centres now existing for the study and practice of the fascinating art of bookbinding.
Although a large proportion of modern work of this kind has been only copied from older work, I see no reason why original designs should not be freely and successfully invented. But I think that the ancient work may be advantageously studied and carefully copied as far as choice of threads and manner of working them goes. The workers of our old embroidered books were people of great skill and large experience, and from a long and careful examination of much of their work, I am impressed with the conviction that they worked on definite principles. If I allude briefly to some of these I may perhaps give intending workwomen a hint or two as to some minor points which may assist their work to show to the best advantage when _in situ_, and also insure, as far as possible, that it will not be unduly damaged during the operation of fixing to the back and boards of the book for which it is intended.
(1) Before the operation of fixing on the book is begun, it will always be found best to mount the embroidered work on a backing of strong fine linen. The stage at which it is best to add the linen will vary according to the kind of work it is to strengthen. In the case of canvas it will only be necessary to tack it on quite at the last; with velvet a backing from the first may be used with advantage, all the stitches being taken through both materials. As to satin, it will be best to do all the very fine work, if any, in coloured silks first, and when the stronger work in cord or braid comes on, the linen may be then added. The value of the linen is twofold: it strengthens the entire work and protects the finer material from the paste with which it is ultimately fastened on to the book.
(2) A book must be sewn, the edges cut, and the boards fixed, before the sizes of the sides and back can be accurately measured. These sizes must be given to the designer most carefully, as a very small difference between the real size and the embroidered size will entirely spoil the finished effect, however fine the details of the workmanship may be. When the exact size is known the designer will fill the spaces at his disposal according to his taste and skill, making his sketches on paper, and, when these are complete, transferring the outlines to the material on which the work is to be done. If the designer is also to be the worker it is artistically right, and he, or she, will put in the proper stitches as the work progresses; but if another person is to execute the needlework it will be best that very detailed description of all the threads and stitches that are to be used should be given, as every designer of an embroidery design intends it to be carried out in a particular way, and unless this way is followed, the design does not have full justice done to it.
(3) In the working itself the greatest care must be taken, especially as to two points: the first and perhaps the more important, because the more difficult to remedy, is that the needlework on the _under_ side of the material must be as small and flat as possible, and all knots, lumps, or irregularities here, if they cannot be avoided or safely cut off, had best be brought to the upper side and worked over. With satin, especially, attention to this point is most necessary, as unless the plain spaces lie quite flat, which they are very apt not to do, the proper appearance of the finished work is spoiled, and however good it may be in all other points, can never be considered first-rate.
The second pitfall to avoid is any pulling or straining of the material during the operation of embroidering it. Success in avoiding this depends primarily upon the various threads being drawn at each stitch to the proper tension, so that it may just have the proper pull to keep it in its place and no more--and although a stitch too loose is bad enough, one too tight is infinitely worse.
(4) The preponderance of appliqué work, and raised work in metal guimps on embroidered books, especially on velvet, is easily accounted for when the principles they illustrate are understood, the truth being that in both these operations the maximum of surface effect is produced with the minimum of under work.
If the piece appliqué is not very large, a series of small stitches along all the edges is generally enough to keep it firm; such edge stitches are in most cases afterwards masked by a gold cord laid over them. If, however, the appliqué piece is large it will be necessary to fix it as well with some supplementary stitches through the central portions. These stitches will generally be so managed that they fit in with, or under, some of the ornamental work; at the same time, if necessary, they may be symmetrically arranged so as to become themselves of a decorative character.
_The Embroidered Books here illustrated._
For the purposes of illustration I have chosen the most typical specimens possible from such collections as I have had access to. The chief collections in England are, undoubtedly, those at the British Museum and at the Bodleian Library at Oxford. The collection at the British Museum is especially rich, the earlier and finer specimens almost invariably having formed part of the old Royal Library of England given by George II. to the Museum in 1757.
The more recent specimens have been acquired either by purchase or donation, but as there has been no special intention at any time to collect these bindings, it is remarkable that such a number of them exist in our National Library. The Bodleian is rich in a few fine specimens only, and most of these are exhibited. My illustrations are made from photographs from the books themselves in all instances; to show them properly, however, all should be in colour, and it should not be forgotten that an embroidered book represented only by a half-tint print, however good, inevitably loses its greatest charm. However, if the half-tint is unworthy, the colour prints are distinctly flattering. I think that almost any old book well reproduced in colour gains in appearance, and in two of my colour plates I have actually restored some parts. In the beautiful fourteenth century psalter, supposed to have been worked by Anne de Felbrigge, I have made the colours purposely much clearer than they are at present. If it were possible to clean this volume, the colours would show very nearly as they do on my plate; but, actually, they are all much darker and more indistinct, being in fact overlaid with the accumulated dirt of centuries. The other instance where I have added more than at present exists on the original is the green velvet book which belonged to Queen Elizabeth, and forms my frontispiece. Here I have put in the missing pearls, each of which has left its little impression on the velvet, so nothing is added for which there is not the fullest authority. Moreover, some of the gold cord is gone on each of the three volumes of this work, but I have put it in its proper place for the purpose of illustration. The other plates are not in any way materially altered, but it may be allowed that the colour plates show their originals at their best.
The books illustrated are selected out of a large number, and I think it may fairly be considered that the most favourable typical specimens now left in England are shown. It may well be that a few finer instances than I have been able to find may still be discovered hidden away in private collections, but it is now so rarely that a really fine ancient embroidered book comes into the sale-room, that we may safely conclude the best of them are already safely housed in one or other of our great national collections. Where not otherwise stated, the specimens described are in the British Museum.
In the following detailed descriptions I have used the words 'sides' and 'boards' to mean the same thing, and the measurements refer to the size of the boards themselves, not including the back. These measurements must be taken as approximate only, as from wear and other causes the actual sizes would only be truly given by the use of small fractions of inches.