Page:PettyWilliam1899EconomicWritingsVol2.djvu/154

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Doubling of the People of London.
459

According to which latter Table, there dyed as followeth. |9|

The latter of the said two Tables.
There dyed in London, At a Medium between the Years.
1604 and 1605 5135. A.[1]
1621 and 1622 8527. B.
1641 and 1642 11883. C.
1661 and 1662 15148. D.
1681 and 1682 22331. E.

Wherein Observe, That the Number C. is double to A. and 806 over. That D. is double to B.[2] within 1906. That C. and D. is double to A. B. within 293. That E. is double to C. within 1435. That D. and E. is double to B. and C. within 3341. And that C. and D. and E. are double to A. and B. and C. within 1736[3]. And that E. is above Quadruple to A. All which differences (every way considered) do allow the doubling of the People of London in forty Years, to be a sufficient estimate thereof in round |10| Numbers, and without the trouble of Fractions. We also say, That 669930 is near the Number of People now in London, because the Burials are 22331. which Multiplyed by 30, (one dying Yearly out of 30, as appears in the 94 pag. of the afore-mentioned Observations[4] maketh the said Number; and because there are 84 Thousand Tenanted Houses (as we are Credibly Informed[5]) which, at 8 in each, makes 672 Thousand Souls; the said two Accounts differing inconsiderably from each other.

  1. The numbers A, B, C, and D are calculated from Graunt's table, pp. 407—409. The number A, 5135, is miscalculated or misprinted; it should be 5185. The error makes, on the whole rather for than against Petty's contention.
  2. In figuring that one number "is double to" another within a certain sum, Petty uses, in every case but the first, a process indicated by the formula x = 2y ± n. But in order to get the result that "C is double to A and 806 over" one must use the formula x/2 = y ± n. Had Petty calculated the relation of C to A as he does the relation of D to B, etc., the surplus would have been 1613, his erroneous valuation of A being accepted.
  3. '1736' should be '1738.'
  4. On the page cited (p. 393 of this edition) Graunt says that "about one in 33 dies." But in the Index (p. 333) is the statement, with reference to page 93, that "at London one of thirty" dies yearly.
  5. Probably by the makers of Ogilby and Morgan's map; cf. a note to Five Essays below.