Chapter 5

6. Having proved that there die about 3,506 persons at Paris unnecessarily, to the damage of France, we come next to compute the value of the said damage, and of the remedy thereof, as follows, viz., the value of the said 3,506 at 60 livres sterling per head, being about the value of Argier slaves (which is less than the intrinsic value of people at Paris), the whole loss of the subjects of France in that hospital seems to be 60 times 3,506 livres sterling per annum, viz., 210,360 livres sterling, equivalent to about 2,524,320 French livres.

7. It hath appeared that there came into L’Hôtel Dieu at a medium 25,063 per annum, or 2,089 _per mensem_, and that the whole stock of what remained in the precedent months is at a medium about 2,108 (as may appear by the third line of the Table No. 5, which shall be shortly published), viz., the medium of months is 2,410 for the sickly year 1679, whereunto 1,806 being added as the medium of months for the year 1678, makes 4,216, the medium whereof is the 2,108 above mentioned; which number being added to the 2,089 which entered each month, makes 4,197 for the number of sick which are supposed to be always in L’Hôtel Dieu one time with another.

8. Now, if 60 French livres per annum for each of the said 4,197 sick persons were added to the present ordinary expense of that hospital (amounting to an addition of 251,820 livres), it seems that so many lives might be saved as are worth above ten times that sum, and this by doing a manifest deed of charity to mankind.

_Memorandum_.—That A.D. 1685, the burials of London were 23,222, and those of Amsterdam 6,245; from whence, and the difference of air, it is probable that the people of London are quadruple to those of Amsterdam.

OBSERVATIONS UPON THE CITIES OF LONDON AND ROME.

1. THAT before the year 1630 the christenings at London exceeded the burials of the same, but about the year 1655 they were scarce half; and now about two-thirds.

2. Before the restoration of monarchy in England, A.D. 1660, the people of Paris were more than those of London and Dublin put together, whereas now, the people of London are more than those of Paris and Rome, or of Paris and Rouen.

3. A.D. 1665 one fifth part of the then people of London, or 97,000, died of the plague, and in the next year, 1666, 13,000 houses, or one fifth part of all the housing of London, were burnt also.

4. At the birth of Christ old Rome was the greatest city of the world, and London the greatest at the coronation of King James II., and near six times as great as the present Rome, wherein are 119,000 souls besides Jews.

5. In the years of King Charles II.’s death, and King James II.’s coronation (which were neither of them remarkable for extraordinary sickliness or healthfulness) the burials did wonderfully agree, viz., A.D. 1684, they were 23,202, and A.D. 1685, they were 23,222, the medium whereof is 23,212. And the christenings did very wonderfully agree also, having been A.D. 1684, 14,702, and A.D. 1685, 14,732, the medium whereof is 14,716, which consistence was never seen before, the said number of 23,212 burials making the people of London to be 696,360, at the rate of one dying per annum out of 30.

6. Since the great Fire of London, A.D. 1666, about 7 parts of 15 of the present vast city hath been new built, and is with its people increased near one half, and become equal to Paris and Rome put together, the one being the seat of the great French Monarchy, and the other of the Papacy.

FIVE ESSAYS IN POLITICAL ARITHMETIC.

I. Objections from the city of Ray in Persia, and from Monsier Auzout, against two former essays, answered, and that London hath as many people as Paris, Rome, and Rouen put together.

II. A comparison between London and Paris in 14 particulars.

III. Proofs that at London, within its 134 parishes named in the bills of mortality, there live about 696,000 people.

IV. An estimate of the people in London, Paris, Amsterdam, Venice, Rome, Dublin, Bristol, and Rouen, with several observations upon the same.

V. Concerning Holland and the rest of the Seven United Provinces.

TO THE KING’S MOST EXCELLENT MAJESTY

SIR,

YOUR MAJESTY having graciously accepted my two late essays, about the cities and hospitals of London and Paris, as also my observations on Rome and Rouen; I do (after six months’ waiting for what may be said against my several doctrines by the able men of Europe) humbly present your Majesty with a few other papers upon the same subject, to strengthen, explain, and enlarge the former; hoping by such real arguments, better to praise and magnify your Majesty, than by any other the most specious words and eulogies that can be imagined by

Your Majesty’s

Most humble, loyal And obedient subject, WILLIAM PETTY.

THE FIRST ESSAY.

IT could not be expected that an assertion of London’s being bigger than Paris and Rouen, or than Paris and Rome put together, and bigger than any city of the world, should escape uncontradicted; and ’tis also expected that I (if continuing in the same persuasion), should make some reply to those contradictions. In order whereunto,

I begin with the ingenious author of the “_République des Lettres_,” who saith that Rey in Persia is far bigger than London, for that in the sixth century of Christianity (I suppose, A.D. 550 the middle of that century), it had 15,000, or rather 44,000 mosques or Mahometan temples; to which I reply, that I hope this objector is but in jest, for that Mahomet was not born till about the year 570, and had no mosques till about 50 years after.

In the next place I reply to the excellent Monsieur Auzout’s “Letters from Rome,” who is content that London, Westminster, and Southwark may have as many people as Paris and its suburbs; and but faintly denieth, that all the housing within the bills may have almost as many people as Paris and Rouen, but saith that several parishes inserted into these bills are distant from, and not contiguous with London, and that Grant so understood it.

To which (as his main if not his only objection) we answer:—(l) That the London bills appear in Grant’s book to have been always, since the year 1636; as they now are; (2) That about fifty years since, three or four parishes, formerly somewhat distant, were joined by interposed buildings to the bulk of the city, and therefore then inserted into the bills; (3) That since fifty years the whole buildings being more than double have perfected that union, so as there is no house within the said bills from which one may not call to some other house; (4) All this is confirmed by authority of the king and city, and the custom of fifty years; (5) That there are but three parishes under any colour of this exception which are scarce one-fifty-second part of the whole.

Upon the whole matter, upon sight of Monsieur Auzout’s large letter, dated the 19th of November, from Rome, I made remarks upon every paragraph thereof, but suppressing it (because it looked like a war against a worthy person with whom I intended none, whereas, in truth, it was but a reconciling explication of some doubts) I have chosen the shorter and softer way of answering Monsieur Auzout as followeth, viz.:—

Concerning the number of people in London, as also in Paris, Rouen, and Rome, viz.:—

Monsieur Auzout allegeth an authentic account that there are 23,223 houses in Paris, wherein do live about eighty thousand families, and therefore supposing three and a half families to live in every of the said houses, one with another, the number of families will be 81,280; and Monsier Auzout also allowing six heads to each family, the utmost number of people in Paris, according to that opinion, will be 487,680.

The medium of the Paris burials was not denied by Monsier Auzout to be 19,887, nor that there died 3,506 unnecessarily out of the L’Hôtel Dieu; wherefore deducting the said last number out of the former, the net standard for burials at Paris will be 16,381, so, as the number of people there, allowing but one to die out of thirty (which is more advantageous to Paris than Monsieur Auzout’s opinion of one to die out of twenty-five) the number of people at Paris will be 491,430 more than by Monsier Auzout’s own last-mentioned account 491,430.

And the medium of the said two Paris accounts is 488,055.

The medium of the London burials is really 23,212, which, multiplied by thirty (as hath been done for Paris), the number of the people there will be 696,360.

The number of houses at London appears by the register to be 105,315, whereunto adding one-tenth part of the same, or 10,315, as the least number of double families that can be supposed in London, the total of families will be 115,840, and allowing six heads for each family, as was done for Paris, the total of the people at London will be 695,076.

The medium of the two last London accounts is 695,718. So, as the people of Paris, according to the above 488,055. account, is Of Rouen, according to Monsieur Auzout’s utmost demands 80,000. Of Rome, according to his own report thereof in a 125,000. former letter Total 693,055.

So as there are more people at London than at Paris, Rouen, and Rome by 2,663.

Memorandum.—That the parishes of Islington, Newington, and Hackney, for which only there is any colour of non-contiguity, is not one-fifty-second part of what is contained in the bills of mortality, and consequently London, without the said three parishes, hath more people than Paris and Rouen put together, by 114,284.

Which number of 114,284 is probably more people than any other city of France contains.

THE SECOND ESSAY.

As for other comparisons of London with Paris, we farther repeat and enlarge what hath been formerly said upon those matters, as followeth, viz.:—

1. That forty per cent. die out of the hospitals at Paris where so many die unnecessarily, and scarce one-twentieth of that proportion out of the hospitals of London, which have been shown to be better than the best of Paris.

2. That at Paris 81,280 kitchens are within less than 24,000 street-doors, which makes less cleanly and convenient way of living than at London.

3. Where the number of christenings are near unto, or exceed the burials, the people are poorer, having few servants and little equipage.

4. The river Thames is more pleasant and navigable than the Seine, and its waters better and more wholesome; and the bridge of London is the most considerable of all Europe.

5. The shipping and foreign trade of London is incomparably greater than that at Paris and Rouen.

6. The lawyers’ chambers at London have 2,772 chimnies in them, and are worth £140,000 sterling, or 3,000,000 of French livres, besides the dwellings of their families elsewhere.

7. The air is more wholesome, for that at London scarce two of sixteen die out of the worst hospitals, but at Paris above two of fifteen out of the best. Moreover the burials of Paris are one-fifth part above and below the medium, but at London not above one-twelfth, so as the intemperies of the air at Paris is far greater than at London.

8. The fuel cheaper, and lies in less room, the coals being a wholesome sulphurous bitumen.

9. All the most necessary sorts of victuals, and of fish, are cheaper, and drinks of all sorts in greater variety and plenty.

10. The churches of London we leave to be judged by thinking that nothing at Paris is so great as St. Paul’s was, and is like to be, nor so beautiful as Henry the Seventh’s chapel.

11. On the other hand, it is probable, that there is more money in Paris than London, if the public revenue (grossly speaking, quadruple to that of England) be lodged there.

12. Paris hath not been for these last fifty years so much infested with the plague as London; now that at London the plague (which between the years 1591 and 1666 made five returns, viz., every fifteen years, at a medium, and at each time carried away one-fifth of the people) hath not been known for the 21 years last past, and there is a visible way by God’s ordinary blessing to lessen the same by two-thirds when it next appeareth.

13. As to the ground upon which Paris stands in respect of London, we say, that if there be five stories or floors of housing at Paris, for four at London, or in that proportion, then the 82,000 families of Paris stand upon the equivalent of 65,000 London housteds, and if there be 115,000 families at London, and but 82,000 at Paris, then the proportion of the London ground to that of Paris is as 115 to sixty-five, or as twenty-three to thirteen.

14. Moreover Paris is said to be an oval of three English miles long and two and a half broad, the area whereof contains but five and a half square miles; but London is seven miles long, and one and a quarter broad at a medium, which makes an area of near nine square miles, which proportion of five and half to nine differs little from that of thirteen to twenty-three.

15. Memorandum, that in Nero’s time, as Monsieur Chivreau reporteth, there died 300,000 people of the plague in old Rome; now if there died three of ten then and there, being a hotter country, as there dies two of ten at London, the number of people at that time, was but a million, whereas at London they are now about 700,000. Moreover the ground within the walls of old Rome was a circle but of three miles diameter, whose area is about seven square miles, and the suburbs scarce as much more, in all about thirteen square miles, whereas the built ground at London is about nine square miles as aforesaid; which two sorts of proportions agree with each other, and consequently old Rome seems but to have been half as big again as the present London, which we offer to antiquaries.

THE THIRD ESSAY.

PROOFS that the number of people in the 134 parishes of the London bills of mortality, without reference to other cities, is about 696,000, viz.—

I know but three ways of finding the same.

1. By the houses, and families, and heads living in each.

2. By the number of burials in healthful times, and by the proportion of those that live, to those that die.

3. By the number of those who die of the plague in pestilential years, in proportion to those that escape.

_The First Way_.

To know the number of houses, I used three methods, viz.—

1. The number of houses which were burnt A.D. 1666, which by authentic report was 13,200; next what proportion the people who died out of those houses, bore to the whole; which I find A.D. 1686, to be but one seventh part, but A.D. 1666 to be almost one-fifth, from whence I infer the whole housing of London A.D. 1666 to have been 66,000, then finding the burials A.D. 1666 to be to those of 1686 as 3 to 4,I pitch upon 88,000 to be the number of housing A.D. 1686.

2. Those who have been employed in making the general map of London, set forth in the year 1682, told me that in that year they had found above 84,000 houses to be in London, wherefore A.D. 1686, or in four years more, there might be one-tenth or 8,400 houses more (London doubling in forty years) so as the whole, A.D. 1686 might be 92,400.

3. I found that A.D. 1685, there were 29,325 hearths in Dublin, and 6,400 houses, and in London 388 thousand hearths, whereby there must have been at that rate 87,000 houses in London. Moreover I found that in Bristol there were in the same year 16,752 hearth; and 5,307 houses, and in London 388,000 hearths as aforesaid; at which rate there must have been 123,000 houses in London, and at a medium between Dublin and Bristol proportions 105,000 houses.

Lastly, by certificate from the hearth office, I find the houses within the bills of mortality to be 105,315.

Having thus found the houses, I proceed next to the number of families in them, and first I thought that if there were three or four families or kitchens in every house of Paris, there might be two families in one-tenth of the housing of London; unto which supposition, the common opinion of several friends doth concur with my own conjectures.

As to the number of heads in each family, I stick to Grant’s observation in page — of his fifth edition, that in tradesmen of London’s families there be eight heads one with another, in families of higher ranks, above ten, and in the poorest near live, according to which proportions, I had upon another occasion pitched the medium of heads in all the families of England to be six and one-third, but quitting the fraction in this case, I agree with Monsieur Auzout for six.

To conclude, the houses of London being 105,315 and the addition of double families 10,531 more, in all 115,846; I multiplied the same by six, which produced 695,076 for the number of the people.

_The Second Way_.

I found that the years 1684 and 1685, being next each other, and both healthful, did wonderfully agree in their burials, viz., 1684 they were 23,202, and A.D. 1685 23,222, the medium whereof is 23,212; moreover that the christenings 1684 were 14,702, and those A.D. 1685 were 14,730, wherefore I multiplied the medium of burials 23,212 by 30, supposing that one dies out of 30 at London, which made the number of people 696,360 souls.

Now to prove that one dies out of 30 at London or thereabouts, I say—

1. That Grant in the — page of his fifth edition, affirmeth from observation, that 3 died of 88 per annum which is near the same proportion.

2. I found that out of healthful places, and out of adult persons, there dies much fewer, as but one out of 50 among our parliament men, and that the kings of England having reigned 24 years one with another, probably lived above 30 years each.

3. Grant, page — hath shown that but about one of 20 die per annum out of young children under 10 years old, and Monsieur Auzout thinks that but 1 of 40 die at Rome, out of the greater proportion of adult persons there, wherefore we still stick as a medium to the number 30.

4. In nine country parishes lying in several parts of England, I find that but one of 37 hath died per annum, or 311 out of 11,507, wherefore till I see another round number, grounded upon many observations, nearer than 30, I hope to have done pretty well in multiplying our burials by 30 to find the number of the people, the product being 696,360, and what we find by the families they are 695,076, as aforesaid.

_The Third Way_.

It was proved by Grant, that one-fifth of the people died of the plague, but A.D. 1665 there died of the plague near 98,000 persons, the quintuple whereof is 490,000 as the number of people in the year 1665, whereunto adding above one-third, as the increase between 1665 and 1686, the total is 653,000, agreeing well enough with the other two computations above mentioned.

Wherefore let the proportion of 1 to 30 continue till a better be put in its place.

_Memorandum_. That two or three hundred new houses would make a contiguity of two or three other great parishes, with the 134 already mentioned in the bills of mortality: and that an oval wall of about twenty miles in compass would enclose the same, and all the shipping at Deptford and Blackwall, and would also fence in 20,000 acres of land, and lay the foundation or designation of several vast advantages to the owners, and inhabitants of that ground, as also to the whole nation and government.

THE FOURTH ESSAY.

_Concerning the proportions of People in the eight eminent Cities of Christendom undernamed_, viz.:—

1. WE have by the number of burials in healthful years, and by the proportion of the living to those who die yearly, as also by the number of houses and families within the 134 parishes called London, and the estimate of the heads in each, pitched upon the number of people in that city to be at a medium 695,718.

2. We have, by allowing that at Paris above 80,000 families, viz., 81,280, do live in 23,223 houses, 32 palaces, and 38 colleges, or that there are 81,280 kitchens within less than 24,000 street doors; as also by allowing 30 heads for every one that died necessarily there; we have pitched upon the number of people there at a medium to be 488,055, nor have we restrained them to 300,000, by allowing with Monsieur Auzout 6 heads for each of Moreri’s 50,000 houses or families.

3. To Amsterdam we allow 187,350 souls, viz., 30 times the number of their burials, which were 6,245 in the year 1685.

4. To Venice we allow 134,000 souls, as found there in a special account taken by authority, about ten years since, when the city abounded with such as returned from Candia, then surrendered to the Turks.

5. To Rome we allow 119,000 Christians, and 6,000 Jews, in all 125,000 souls, according to an account sent thither of the same by Monsieur Auzout.

6. To Dublin we allow (as to Amsterdam) 30 times its burials, the medium whereof for the last two years is 2,303, viz., 69,090 souls.

7. As to Bristol, we say that if the 6,400 houses of Dublin give 69,090 people, that the 5,307 houses of Bristol must give above 56,000 people. Moreover, if the 29,325 hearths of Dublin give 69,090 people, the 16,752 hearths of Bristol must give about 40,000; but the medium of 56,000 and 40,000 is 48,000.

8. As for Rouen, we have no help, but Monsieur Auzout’s fancy of 80,000 souls to be in that city, and the conjecture of knowing men that Rouen is between the one-seventh and one-eighth part of Paris, and also that it is by a third bigger than Bristol; by all which, we estimate, till farther light, that Rouen hath at most but 66,000 people in it.

Now it may be wondered why we mentioned Rouen at all, having had so little knowledge of it; whereunto we answer, that we did not think it just to compare London with Paris, as to shipping and foreign trade, without adding Rouen thereunto, Rouen being to Paris as that part of London which is below the bridge, is to what is above it.

All which we heartily submit to the correction of the curious and candid, in the meantime observing according to the gross numbers under-mentioned.

London 696,000 Paris 488,000 Amsterdam 187,000 Venice 134,000 Rome 125,000 Dublin 69,000 Bristol 48,000 Rouen 66,000

_Observations on the said Eight Cities_.

1. That the people of

Paris being 488,000 Rome 125,000 Rouen 66,000 do make in all but 679,000

or 17,000 less than the 696,000 of London alone.

2. That the people of the two English cities and emporiums—viz., of London, 696,000, and Bristol, 48,000—do make 744,000, or more than

In Paris 488,000 Amsterdam 187,090 Rouen 66,000 Being in all 741,000

3. That the same two English cities seem equivalent

To Paris, which hath 488,000 souls. Rouen 66,000 Lyons 100,000 Toulouse 90,000 In all 744,000

If there be any error in these conjectures concerning these cities of France, we hope they will be mended by those whom we hear to be now at work upon that matter.

4. That the King of England’s three cities, viz.:

King’s Cities Exceed London 696,000 Paris 488,000 Dublin 69,000 Amsterdam 187,000 Bristol 48,000 Venice 134,000 In all 813,000 Being but 809,000

5. That of the four great emporiums, London, Amsterdam, Venice, and Rouen, London alone is near double to the other three, viz., above 7 to 4.

Amsterdam 187,000 Venice 134,000 Rouen 66,000 387,000 × 2 774,000 London 696,000