Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 111v

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: 0.87.

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

The machine reads it as

  1. putet esse
  2. GV ad Id5, ut ut
  3. D
  4. e
  5. in
  6. KC ad ad Y. adevque rectis. 5 eo
  7. C, Cn
  8. velR
  9. AX
  10. propoctionatis erunt
  11. ut BiC
  12. rectae ete e:
  13. nectis KC Cn r proppartionales
  14. nectie V
  15. G
  16. vel TH
  17. Rn
  18. erunt
  19. Ra da
  20. vel CH
  21. Ergo C H ad H.
  22. ut q
  23. nC ad C
  24. rectus. Cum ergo
  25. sit angulus CT
  26. in duobus triangui nCK ad et C
  27. sint rectc rectarum unu ulu rectum
  28. comprehendentium ratio eadem
  29. etiam trianiula similia erunt, adeoque
  30. paralleta vel potius (ob quantitatem ne
  31. infinite parvam) conncidlens ipsi nk, adeoque erit
  32. C
  33. tangens. Tangens ergo ponchoidis sic invenietur
  34. constructione satis eleganti: Rtico transferatur in CH
  35. ex Ca in R angulo G recto ducatur GV occurrens
  36. k R0G
  37. Normae R9V. quae transferatur in HT angulo H iterum
  38. recto, juncta
  39. CT erit tangens angulo recto, ad ad
  40. tanget curbam in C.
  41. Hfinc pater artificim omne in eo consistere ut
  42. nek cui simile ad ( constituem
  43. cto Tiangulo infinite parvo
  44. dum est, quae quod difficile est, quia ignoratur ratio nex
  45. prposito
  46. n ad Ck, quaeratur aliqua aliud ut Rn v, cujus laterum
  47. at Ypi ut Ca ad RCo, et quia anguli M. et nCK recti
  48. in pY datur reati
  49. hino et ipsam nk et RY relatio datur. Et huic novo
  50. LC
  51. Triangullo constituendo simit. Rjur aliud simile constituendo
  52. rem confectam haberuus

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 111v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0222?run=73