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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 29v

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 30r); this page is its left half.

The machine reads it as

  1. Aliud problema
  2. Lex ludi: Ludunt una tessera A et B, jactus habent A unum et B
  3. unum; tum A duos, B duos; porro A tres, B tres, et ita porro. qui primus
  4. punctum assignatum attinget, vicerit. quaeritur quantibas spei cuusque
  5. A (1) 1.6 (4 de 5:6 (2)1:6 de 5. 6
  6. B (3) 1:bde 5:6
  7. (4) 1: 6 de 5.6
  8. sit 5: b = n. fiet
  9. B.
  10. iun in n n n u n nn n n ne no ni n eu
  11. juctus A,
  12. B
  13. 3 A A 3 1 B B 13 ecc
  14. A)a = C d ef gh= () LbRC 2+ y - 1 _ n ∞ - y
  15. B. b = P qrs t u- 7
  16. 1 2 3 4 5 bex
  17. L M N P Q R
  18. e
  19. 68G
  20. +n + nb n
  21. n-u -nd
  22. y + Z = 1. n. y = Z Sy + S_ n= y -1
  23. y. n = (y)
  24. Z. p = (Z) seu n. y. p f
  25. v - (v) = y et (v - (v) = y 12X
  26. ergo fiet v- (V) = (∞) - (∞): n
  27. O (∞) = _ n
  28. n+ n’+n= elX n - n
  29. n - 1
  31. si esset v = 88 F f arb m. CA
  32. n+ n = _ n-b
  33. 1- n
  34. t
  35. n 41n
  36. 4 15
  37. 12
  38. 6
  39. _Zn’ An +n Ln = n - n
  40. 1-n
  41. Ergo y = pE p F. ) B: 1= n
  42. quaeratur summa omnium nF
  43. sit ile W et fiat
  44. sit W, et fiat (WV) = n W2
  45. seu W - n W = - x. X.1 quae aequatio debet esse identica
  46. at
  47. Aliter W = n + n Ergo (10) = p n
  48. Et)
  49. seu
  50. sit B = x. x- 1 fiet
  51. seu co = (n + cob
  52. n
  53. sit 10 = n. pet
  54. Bed = Be cod = qX. X 1
  55. seu no. 1-
  56. - cBC = pX. x - 1
  57. Wo- B = (2 + c0b - β
  58. (cet = sed debet esse (C0) = 1 + cD
  59. non ergo procedit nec β calculum ingreditur
  60. co
  61. (C0)
  62. sit (W) nd - n + n - n ) = pX. ~ 1
  63. sie fiat fiet nae-
  64. sit efno = pX. X- 1 e n - p + na n(a = 0
  65. fiat 1C n = n san 1- e n = n seu 1 e = p: .
  66. jam S n - n = 0. siu a = (C0). seu
  67. jam L l C0 = X X 1 loge + logn Co = X. X- 1. log. n
  68. seu cd = X. X- 1 log. n = log. e, log. n. seu Co = . X. X . 1 = log C: lbgn
  69. noste
  70. Ergo (10) = ( ∞ a = X+I. X. = loq(C). log. n Ergo denique
  71. 1 Xi - 109)4
  72. fog b. X. X ed ita vix efsici pe ut e sit ostun
  73. unde nova difficullas
  74. 1
  75. n y
  76. quod verum
  77. sel
  78. 3

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 29v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0058?run=74