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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. 109

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: 0.88.

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

The machine reads it as

  1. EF BnarVOuOC.
  2. L, dd V: F 2 F 4 p2: aUE Z L ad V: = L2 + p. A deoque uE Om-
  3. nes V: ZL2 + p: ad cocidem = L; sic omnes OE ranentes, HOS
  4. CH, (in Pa. Tibus exiovis) 00 curre, hoc elt A O curra, ad Om-
  5. nes CC, hoc estrectum A T vel D O. HOc est (i A9. 28. p0.
  6. NAEUT A B = Z E semilicus cum rectum cum cranversum su-
  7. Pecbolae R n; _ A T vc in pacabOl: FTIE, AE Y A RH rectan-
  8. oulum, ad Y A I x quadrilineum: SIC A Y cAnZeHS, vel Ba(IS
  9. DO, ad AO curram pirabola. Feparres parcibus respective
  10. proporcionales. Quod guidem lupra inveneis convenie, ubi asem
  11. A D ac A O curram esse octendimus, UE T A n criangulem, ad
  12. idem T AR _ quadrilineum. NAM BE TFIABGOILI Y A X =
  13. =d C, ad rectingulu Y A IE = Z P V d L; hoc eHt, uc d ad vdL:
  14. HC A D ad A I.
  15. Sed ec hinc simili modo acque supra, inreniemus superficiem C’onoidis
  16. conrexim conoidis parabolici. Nempe (ob easdem parricularum Parabolici
  17. EF _ n n distinciaS ab A K,) FNIE uE C Ylindeus ex convertione superficies.
  18. PIE parallelosrammi, ad Cylindrum ex l. mili conversione paral-
  19. leloorammi Ts minus conoide hyperbolico ex convertione R SM
  20. hyperbola, (circa eandem A s reCTaM;) sic circulus radio A Y
  21. delcripeus ad conoidis superticiem conrertione AO curvae de-
  22. Scripeam. Duod e supra erasiris etiam conrenit. Nam eadem
  23. est racio circuli radio A T descripri, ad duas cerrias suxerficiei
  24. cylindricae recca TO descripEx, quae est Colidi ex Convertione
  25. Y AI rectanguli, ad Tolidum ex convertione crineuli Y A N,
  26. circa eondem AK. Ouare e eadem superticies Conoidis verovis
  27. modo proveniet.
  28. Sed incelligimus jum (non AY, Scd) A D inpunctis d aqua- CurVa Pa-
  29. licer dirilam: adeooue d A = d arirhimetice proporrionales, _ rabola.
  30. dd = A aequales, e d0= V d L, _ (propier dF drplam Fig. 36.
  31. rectae d A) cangeneS OF = N: 4 d F d L. Tcem (continuatis do
  32. AOnCCBFONIMIX CUXQUC LaNGeHEI OF OCCUrFAE in I) uc dF= 2d,
  33. ad FO: sC d d= A, 2d 01 = 2V: 4a + dL. A.: d + =dL
  34. 2
  35. Adeoque (Iad CUIndeI AD aXCM CONITTUAELE TUM A D A ErI-
  36. angulum isosceles rectangulum, cum ADHI hrperbole (cujustum
  37. lacus rectum cum eranlversu (Ir = ,) acque AD E rectaneu-
  38. lum cujuscunque lacicudinis, (adeoque singulas C d singulis
  39. VC
  40. 18. 28.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 109. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0125?run=74