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Leibniz-Handschriften zur Mathematik LH 35, 5, 12, fol. 2r

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: 0.84.

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

The machine reads it as

  1. visserentiae in seripsa mimeralibus consttuendae ad
  2. instur regulae fluse in
  3. iguris
  4. et aequatio a - 3a + +a N.
  5. erit dN quaeratur d a in numeris et da. et da.. Hoc method.
  6. sit da
  7. men non difficile. Silicet. a p a a + β. Ergo 2 sap a + g.
  8. 2
  9. Ergo: 2a Y dae + β. Ergo da 2a - β.
  10. e
  11. eac 2a
  12. a3 3a+
  13. Saeta ( acatI, a +2 seu 5a + saB a+34 + 2a (ergo a - a integen
  14. 112, 3
  15. Ergo 3 (a Y) a + 3a + 2a. Ergo sae a +9a +7 a
  16. 3
  17. ta 3a + 3a
  18. 2
  19. 2
  20. Ergo a 1 65a - 94- 7 a
  21. 2
  22. 6 W
  23. a3 3a - 9 da - 7 da. Ergo da3 p3a - 9a + 3 C (3 a -9a F
  24. 2a-
  25. 2c
  26. 3
  27. -7
  28. 2C
  29. it ergo da p β. erit da 2a - β. et das 3a- 9al + β.
  30. Hinc facite demonstratur primum si primae diffecentia ab a sint 1. tunc
  31. serundus ab a fore 2. tertias ab a3 fore 6. guantas ab at. fore
  32. ni fallor 24. (nempe. 1. 192. 112, 3. 12, 3, 4
  33. 6
  34. 2
  35. 24
  36. 1n (
  37. Nam ad a p 2β -0 dd a35 696 a 6a -3β -9β +0
  38. Ergo ddda (6β- 0-0 +0 Unde facile patet latio cur non nisi
  39. Uud
  40. isti numeri 1. 2. 6. 24. ec. prodeant facti scilicet naturalium in
  41. senevicem caeteris evanescentibus. Sic quia semper aβ 0. ex hypothesi
  42. Hinc proposita formula: a F +Ba + ea F N. erit LN
  43. 3a -g al + B
  44. raa b
  45. ddN 6a = 12B dad NB 6
  46. + 2bB
  47. Si intervallum B
  48. Arithuraticae valde parvum non tentam duo ingentia commoda
  49. +c
  50. habibimus, unum quod omnis numerus intelligi potest cadere in hanc pro-
  51. pissionem, alterum quod evavescent multa, ut dec fiet 3a. aofierba
  52. imo si B tum parva est, ngligentur et differentae differentitirum
  53. tugusti
  54. 1677

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 12, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068030:0003?run=73