Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 94

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. Curvarum EODOVOS,
  2. Fiac autem, ut BH9, ad AK 9; (hoc est, ut b. + 4 a B =
  3. ad 4 a2 B=
  4. D2 Sive, ut 90= + 4 a, ad 4 a 2 3) sic BH= = V: 9c
  5. +4a ad R M; qua estisicur-
  6. 2
  7. 270 + 12 a 0 V: 9b2 + 4 a
  8. Et propterea NH (= BH A Bt)
  9. B0
  10. 90+ + 4 a V: 9b + 4a
  11. Eiguoniam, ut NH ad A H: (hoC est, nE 902 ad 4 at ;) sic
  12. NM sive B A= a, ad A F. erit AF =
  13. dc2 a F 4 a
  14. Dc2
  15. Adeoque parabola F A R
  16. FBFI = X8 a b c2 + 8 a b
  17. 4 a
  18. 9c+ Et FB
  19. 16 a+ b
  20. 8Tc
  21. Et parabola
  22. 8F01 = V: 902 + 4 a. Edeoque parabola sec-
  23. memum AKHB = 28 ab cAt B a b, in V: 9ca + 4 a minus 26 at B
  24. Est autem rectanculum BK =
  25. 6
  26. 8FC2
  27. Erso Rectanculum BK.
  28. ad parabolae seementum A R FIB; adeoque (ut supra probatum est)
  29. AB recta, ad curvam ACF; ut 27 a c=, ad 9 c= + 4 a, in N:
  30. 902 4 4 a. minus 8 a. Duod erat demonstrandum.
  31. Meam denique hanc habe.
  32. FAO A D P parabola recta; cujus lacus rectum dicatuE L.
  33. Adeoque, sumpeis diametris A C, A d, C5c, arichmerice pro-
  34. porcionalibus, quae sigillacim dicaneur d; iplaque A D, D: FrunE
  35. ordinatim applicacae dp N d L; ip(aque D P = VDL: PC
  36. Parabolae abscissa A d D = 5 d V dL; adeoque ad invicem, ut
  37. d s d, vel vd: Fc d dp rectangula (guae, Cumpris dd parri-
  38. eolis infinice exiouis, quae dicaneur A, parabolarum differen-
  39. ciis aequipollene) A N d E; que itaque sunc ad invicem, uc V d,
  40. Chrcucipsae dp ordinacim- applicaCR;) acque ad parabOlaS (UaS,
  41. UC Add3 d.
  42. Ducatur deinde curra AC F (parabOIX In P OCCUETeNS,) ed
  43. lege
  44. 18. 25.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 94. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0110?run=74