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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 43v

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: 0.82.

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. 44r); this page is its left half.

The machine reads it as

  1. sit Tiangulum Characteristicum ut indefinite
  2. parvum coGL. In quo coG parallila AB AXI LG paralleta
  3. Aco ordinatae. CoL portio tangentis AcoL.
  4. Est autem coG aequ. dov posita 6V aequ. QB. simu compl.
  5. et B0 appelletur co. ordinata curvae erit GL aequ. deo.
  6. as
  7. B
  8. BC
  9. esse
  10. f
  11. S
  12. a
  13. a. N
  14. 4 (+ ds
  15. aco
  16. BB
  17. BCo
  18. = S
  19. a+da a
  20. Ergo
  21. 2 K R
  22. Est autem W aequ. s
  23. posito
  24. 1
  25. ca saequ. secanti ET. et a aequ. arcui AD.
  26. Ergo fiet
  27. B aequ
  28. BC0
  29. aam
  30. aequ.
  31. d.
  32. a
  33. Est autem
  34. d.
  35. a aequ.
  36. aequ. (a+ a ds C a da
  37. a do
  38. a ds- das
  39. a da a)
  40. si jam eo sit vertex ipse 2co et eo casu Bco manente
  41. finita ipsa _ DB sit infinito
  42. tangens
  43. D infinite ab hinc absit, adeoque cod sit ipsi AG
  44. parallila, patet, fore rationem BB infinitam
  45. co
  46. nempe quae infinita bB ad finitam pa. ergo
  47. et a dov ad ads- das ratio est infinita
  48. quare em ad cum ado non sit
  49. infinita, necesse est a as - da( ejus com–
  50. paratione esse infinite parvam adeoque fiet
  51. a ds - da ( aequ. 0. seu a aequ. da
  52. d
  53. sit triangulum circuli characteriticum
  54. cdM erit oD ipsa da. jam (aequ
  55. v
  56. qu. quia Radius L b est media proportio-
  57. nempe Aq vel a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 43v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0086?run=73