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Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 18v

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: 0.76.

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. 17r); this page is its left half.

The machine reads it as

  1. e
  2. nihilo minor, eliam foret quantitas nihilo minor, contin scopum.
  3. Ergo sumendi erunt sex primi numeri, et lam longe procedendum erit
  4. aribus terminis assumtis pro e, et uno ad huc spluribus pro e + 1, donac
  5. pluribus.
  6. illo ca fieri possit prper e quantitas nihilo majori per et1 quantitas
  7. nihito minor.
  8. Caeterum etsi prosequeremur hunc calculum, non
  9. Ideo. inveniremus relationem e circumferentiae ad diametrum.
  10. C sit Daequ 1. C aequ 1 - + + f + - + etc.
  11. D - a( aequ. 1 - 2a + a - a etc. ponatur 1 = a aequ o. fieret a aequ 1. jam in
  12. jam fiat: in - a +a pro a substiluatur 1+1. fiet: seu 2. fiet : 1+2
  13. seu - quae est nihilo miner. Ergo a aequ 1. et _ aequ + = + L ecc.
  14. 1- +b q fingatur esse 0. fiet b qu 3 - 1 - b aequ. 0.
  15. O- ba aqu. 1 - 1ab + 1+ b - 1+ b + 1+b erc.
  16. seu baequ2. sumatur fingatur jam b aequ. 3. et videatur, an ftres primifermini faciant
  17. summam nihilo minorem - + +2. quod non procedit. Ergo sumantur quatuor primi
  18. termini fiet: 1, 3,5,7 = 1, 5, 2 = 15, 2b 4 1,3,7 + 13, 7, b - 13, 5 - 1ß, 5b
  19. 5+51 3 6 1. 3i1 + disre
  20. E
  21. fiet b aequ 13,5, 7 = 15,7. + 1, 3,7 = 1, 2, 5
  22. I, seli dita
  23. t 1
  24. foret b
  25. et
  26. 210
  27. 05
  28. 1s
  29. 21
  30. nasoru num nibilo; Ergo fiat; 12. 43 9, 1= 1 5128, lC + 13, 29, uF - 1, 3, 9111 + 13 7, 11-1, 3, 3.9
  31. baequ
  32. a
  33. 2
  34. 13, 5,2, 5, 1E 10395 = 1. prgani major intere est puxime maja integecte est 3.
  35. 59, H = orq 2661
  36. Fingatur um b aequ. 4 fiet: + - 3
  37. utis termines,
  38. Ergo altiori assumnto baequ 125, 7,9, 11 B 10395
  39. (1,3, 7,9, 11 = 1, 3, 8,9, C1 et y 2051
  40. Integer exime major erit 3. samatur jam fingatur b aequ. 4. pro attrni et
  41. sumlis terminis erit: - 2 +2 - 5 + Z-5 +5 qui debet ell esse minor
  42. nihila, fet: +1 - 3 + E -5 + 2. seu
  43. X-8 + Ep 102 4 105, ergo nisii est major nihilo, ergo
  44. adhuc plures termini essent assumendi. Ergo nisi numeri progressionis
  45. harmo niaae summa adhibeatur, tis hic calculus erit nimis prolixus
  46. Vera tamen met hodus patet.
  47. adhuc mipornitu
  48. (037.
  49. 43386
  50. erpdr (2079
  51. AtA
  52. 16 2 rp 14
  53. N B (A155
  54. A99g
  55. hg r.945
  56. MCAN
  57. 465
  58. 1 4 85
  59. 2
  60. a
  61. 24
  62. rin
  63. p395
  64. A6A
  65. 207
  66. 1153
  67. 3234
  68. 1. fcer .

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 18v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068235:0036?run=74