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Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 10v

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: 0.81.

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

The machine reads it as

  1. resolonnu ergo primum: ea M- ca ba - Md
  2. N
  3. ac faciamus eaM - Ra, unde NRa + ca
  4. pone NR
  5. N
  6. ea
  7. a5. ca fier; Sa
  8. H M
  9. ergo Sap ea, eritue T7M. Ergo M
  10. ergo NRa A ea M = ca
  11. rba + ca
  12. . Ergo Nd M + ea M Nba + ca
  13. Nd + ea
  14. Ergo Nd M + ea M - Nba
  15. ea
  16. itaque si neque ea, neque ba divisibiles per C, fiet. N C∞, et M
  17. et fet: ct PdQ + eat2 - fPba
  18. au
  19. a
  20. a
  21. c Pd Z + ea Z - Pba at et: a + Pb a
  22. sive QC Pd + c a L
  23. a2 + pb a
  24. sioe:
  25. cPd + ea
  26. Tantum ergo sufficit Q. esse
  27. tiplicabilem per multiplum
  28. ab
  29. 1 + pb
  30. et inquorendum est alibi, an alia solutio reperiri queat ita
  31. sane, si aliter transposuissemus. quaerendo P, loco ipsius Z
  32. Idem poterat fieri statim ab initio;
  33. Nd Ma+ ea M a sumendo M A a N R + calR
  34. aNb + ca
  35. fier: Xto
  36. sive Rpa
  37. a
  38. Nd R + ea R a. Ergo Nd + ea p4.
  39. Ergo N ) ea integer
  40. sed si inipiamus divisionem: d M a. Ergo M ab. Ergo
  41. b divisibilis per d. ergo ea M egum prn seu b Md
  42. et eut ca ea M. Ergo C divisibilis per e. quemadmodam
  43. per D. hac solvendi methodo. Eodem modo per singulas partes iri
  44. potest dividendo, incissiendo modo a car, in NdM, modo aliter
  45. d
  46. dux
  47. od
  48. v.
  49. e
  50. l
  51. +
  52. t
  53. 55
  54. d.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068240:0020?run=74