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. 117

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 HINarVOUOSO
  2. ad momeneum semicirculi. Religuaque Facilius quam ut iis opus
  3. sie infiltere.
  4. Nempe, ductistum d A, cum N dD, in d; rePeriEuF mO-
  5. mencum (respectu rectae C Y) Semicirculi, ad momentum semi-
  6. superticiei currae circa eandem CT; uc series d A, ad seriem
  7. A d V d D; hoc elt, uL 3 40 3, sive uF 5 2d 6.
  8. Irem, ductis cum A D d A, cum
  9. AD V 2
  10. AV d D.
  11. in D = d. Elabetur racio momenei (respectu rectae A F) semicir-
  12. culi, ad momentum semisuxerticiei currae, circa candem A F; UE
  13. feries AV3 = 2 d AD + de A, ad seriem
  14. ADE
  15. = 2ADV
  16. dD + 2d V dD. Hc est, uc x = = F 7, ad 2 = 4 + Z. Hoc est,
  17. UE 5 ad 16.
  18. Habiris aucem, cum maenicudinum, cum momentorum rario-
  19. nibus, _ unius cenero gravicaris; diltancia centri gravicaris alce-
  20. sius non lacebit.
  21. Sed e de parribus similicer instiruetur judicium. Diriso urigs
  22. quadrilineo incerminabili in racione dacâ (quod pernoi. Arith.
  23. Insin. Facile Rer,) dividicur _ C.Z. A curva in eadem ratione. Nem-
  24. De, TumpcA C Y ad C F, in ratione p: dd PL. eriecum C Y B s
  25. ad C F BB s, CUM C Z ad C Z A, in ratione p ad P. (FE conse-
  26. quenter, Tumpris C Y, CY, 8c. quorlibet, in duplicata ratio-
  27. e Rrichmerice proporcionalium; CrunE CorresDOndenteS C L,
  28. CZ, 8c, arichimerice proportionales, ipeaque C Z B, in aequales
  29. parces in punctis 2 dirica.) Diltac aurem a TC s recta verti-
  30. eIS. Sive CYB stigure, sive CZ currae, cenerum gravitaris, 8
  31. (Parte certia) recte C Y: (perregulam generalem quaM Epi-
  32. stolae 26 Commereii Epistolici Tubjecimus.) Unde reliqua Facile
  33. invectigAnEUE.
  34. Vides ieaque quam facile Auane horum Problemacum solurio.
  35. nCS.
  36. Si vero ad Crcloides Prorractas aue Contractas libeae proce
  37. dere; eriam lic resnon infelicirer succedec. Eltoenim, eodem
  38. C~F circulo genicore, lemicyclois, sive conracta, sire prorracta,
  39. Cgeloides
  40. secundariao

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 117. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0137?run=74