Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 265

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: 0.83.

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

The machine reads it as

  1. A
  2. L I B. II. C A P. TI.
  3. AB versis A producatur ad C, ita uc rectangulum sub praedicto
  4. lacere recto e parte Ci A contentum sic ∞ d d, rectam (B qua-
  5. leam Fore diamerrum, ejusque rerticem praedictum C punctum:
  6. aC proinde ee dd per praediccum latus rectum, hoc elt, pei
  7. ade
  8. rilum aequari lonsicudini C5 A, idcoque O A Fore ∞
  9. B
  10. ab
  11. di-
  12. 246. Quare
  13. E diametro CB de latere recto CF ∞ = in dato angulo Para-
  14. bola describatur C D d, secans A T ip (i F D parallelam in L: di-
  15. Cocurram ID d Fore Locum guae (itum.
  16. Verum obiter hic quoque nocandum renie, praedictum verti-
  17. cem Cetiam inreniri hoc pacto: sinempe F. A producatur ad C,
  18. ItA UE AC SIE ∞ = dc deinde per punctum C ip(i D F parallela
  19. ducatur C C, occurrens productae AB in C: erit enim in eodem
  20. illo concursus puncto rertex quaesItuS.
  21. Demonstrario.
  22. Sumatur in praedicta curra punctum uccunque, veluri D, du-
  23. etaque D E in angulo AF D, daco vel assumproxquali, secante
  24. diametrum CB in B: Crit, ex constructione, BF ∞ -; ideoques
  25. B
  26. sED rocetur p, erit D B ∞ y -- -= (eu Z; FC ∞ =, G A ∞
  27. ade
  28. eab AB ∞ =
  29. Totaque OB ∞
  30. 20
  31. 2
  32. ade q ex
  33. 2ab
  34. 2a Ac cum ex proprie.
  35. cate Parabolae D B quadracum sit x quale rectangulo FGB, erit,
  36. 2ab. dde ex
  37. Tacta mulciplicatione iplus Z in se iplam, acque
  38. 2ab 2a
  39. R∞dd F bx. Ende Substicuto y = = loc0 Z, obcinebitur
  40. bxy, bb ∞∞
  41. a
  42. +aa ∞ b x F dd, id est, yy - bxy
  43. L dd. Ouod erat demonstrandum.
  44. d.
  45. bb~ X L b X
  46. Aa
  47. Quoniodo autem pro casu hujus exempli converto Parabola
  48. describenda sic, ex comparatione ejuldem cum antedictis facile
  49. est colligere.
  50. Si xequatiotuerit.
  51. + b9-
  52. bb97
  53. =6630 XX - 2b7 - 6di3
  54. aa
  55. aAUI-

Cite

Ps. 2, fol. 265. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0289?run=74