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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 48r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 47v); this page is its right half.

The machine reads it as

  1. Additio pro totte cus u sectorimeni
  2. tollenda difficultate in casu qu quadeantis, et regela regula pro casu sectors
  3. e
  4. quadrante. majonis
  5. Notandum estt demonstrationem pati difficultalem si
  6. quis eam in solo casu speciali instituere voluisset
  7. respectu solius quadrantis. Nam quia in casu
  8. foret
  9. quadrantis est y aequ. 1. est segmentum
  10. quadrantis AN C A aequal 2f- 4 + 6 - d et
  11. quod subtrahendo a sectore quadrantis, qui est
  12. 4 - - 2 + -. Ck. fieret. residuum
  13. 1- 1 + 1 = 1 + 1 etc. Id est. o. quod
  14. est absurdum restat enim semiquadratum radii
  15. sien.. Verum quidem est tali ssvisione
  16. etiam polo at inquies 1 - 1+ 1 - 1 + l etc
  17. est etiam ni seu = nam si
  18. 1- 1 + 1 = 1 + I CHc. multiplices per 1 + 1 prodit
  19. dicendum es
  20. ergo etiam erit aequ. 0 quor
  21. absurdum
  22. esi dojnum
  23. 2
  24. Responsio est Respondendum
  25. series in finitas
  26. debere quas ad hibere
  27. licet in tali calculo debere esse decrescentes
  28. ita ut de illis demonstrari possit errorem
  29. prout longius in serie progrederis semper decres
  30. in fra valorem datum
  31. qualis est 1-= + et non vero ter
  32. 2+fek+ vel negue 1- 11L1 etl
  33. A
  34. applicatio tamen ad quadrantem fieri potest
  35. reductione ad absurdum; demonstrando valorem
  36. aliu segment
  37. u
  38. cerentiaa aliu alterius
  39. Aus
  40. sectoris cujqus diffeantia a nt excessi
  41. sectin
  42. eliam quamt
  43. lus
  44. e
  45. seriem 1- = + etc valore minore
  46. quovis dato.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 48r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0095?run=74