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: 0.86.

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

The machine reads it as

  1. EF HINarvOUdS.
  2. ad momencum semicirculi. Religuaque Facilius quam uc iis OpuS
  3. sc intistere.
  4. Nempe, ductiscum d A, cum A _ dD, in a; repericuTmO-
  5. mentum (rest. ectu rectae C Y) Semicirculi, ad momentum semi-
  6. suxerficiei cudra circa eondem CP; uc series dA, ad seriem
  7. A d Yd D; hoc elt, ut 3 aci 5, Gve uc 5 2d6.
  8. AD N E
  9. Trems ductis eum L ud A, cum
  10. A V d
  11. D
  12. in D = d. blaibetur ratio momenti (respectu rectae A F) semicie-
  13. culi, ad momentum semisuperticiei currae, circa candem A F; uE
  14. series AV2 = 2 d AD + at 2, ad seriem
  15. AD= V D
  16. dD + A d Y d D. L. DC Clt, uC X - = + =, 2d 3 = 7 + Z. Hoc OAt
  17. UC 5 dd 16.
  18. Hlabiris aurem, cum mognicudinum, cum momentorum ratio
  19. nibuIS, _ unIuS cenro gravicatis; diltuntia ceneri gravitatis alce-
  20. rius non latebit.
  21. Sed & ae partibus Cmilirer instirueter judicium. Diviso urigs
  22. qund ilineo incerminabili in ratione dat2 (quod perno. Aritho
  23. Infintacile Aer,) dividieur _ CZ A curva in eadem ratione. Nem-
  24. De, TumPCa C. Y ad C F, in racione p2: ad Y 2. erierum C Y B s
  25. ad C tBB s, cum C Z. dd C Z A, in ratione p ad P. (FF conse-
  26. quenter, Tumpeis C Y, C Y, 5c. quortibet, in duplicata Fatio-
  27. ne drichmecice proporcienilium; erunt correspondenres CI,
  28. C Z, Gc, atichmerice proportionales, iplique C J. A in aguiles
  29. parces in punstis Z. dirila.) Diltac aurem a TC s recta verri-
  30. c5, lire CYBS FiOUTR, (iVe C Z CUrVX, cenErum OFWVITaTIS, Z
  31. (PaTICTeTTIA) recte C Y: Perresulam generalem quam Ep. =
  32. stola 16 C ommereii Epistoisi subjecimus.) Unde reliqua Pacile
  33. inrestigaLEUT.
  34. Vides icaque quam Facile Auanc horum Froblemarum solurio-
  35. nCS.
  36. i vero ad Crcloides Prorractas aue Contractas libeat proce.
  37. deres etiam sic resnon infeliciter suc ceder. Flto enim, eodem
  38. CZ F circulo genitore, lemicy. lois, live comracta, sive praernet
  39. yeloides
  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/85138403X:0133?run=74