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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. 120

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: 0.90.

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

The machine reads it as

  1. Curvarum BodoroS,
  2. dences, delignandas supra docuimus:) Unde liquer, curvae Pemi
  3. ercloidis secundariae parriculas, primarix parcibus aequalibus re
  4. spondenres, esse ur parriculas curra quadrantis Fllipseos respon-
  5. dences lonziori semaxis parcibus aequalibuss Fllipleos, inquam,
  6. cujus semiaxis minOE, eAD = C F; de DVL
  7. + 2 BD=
  8. di-
  9. Cancia FOCI a CeHETO; (cujus quadrarum quadrato semiaris mino-
  10. F
  11. ris addicum, dac quadracu semiaxis majoris;) adeoque=D
  12. Semiaxis major; (nempe, ( HAE, UE FD = B, 2d B C = D F B, siC
  13. EC= D, ad quarcam; erir hxc quarva, semianis major:) Qr Od et
  14. TuPEa EradICIS PaLCE.
  15. Flujus aurem quadrantis Ellipieos parciculis, quibus partieu-
  16. las semicrcloidis secundariae diximus proporrionales, non camen
  17. aequales dicimus, (adeOGUE HECFOTaI TOEI;) Tune urique ad il.
  18. LS, uc LB, ad A (partem aliquocam ipsiuS D LFC:) uc ex jam
  19. radicis patet: HOc eAt, ur 3 B ad A; (CR eri n y ad p, uC 2 A
  20. ad D, quod mox oHtendetur:) sive uE 2 B ad D. Adeoque ( AdE
  21. quadrans ellipseos cujus conjugati axes, ad axes conjuentos el-
  22. lipseos modo distx, (inc uc 2 B ad D: (hoc est cujus semiaxis minor
  23. SIE 2B = 2 F. ∞3 MaiOE 2 D = 2 B= F C 1 Pn:) PriE quadeinS
  24. ille, currae semieycloidis secundariae, aequalis; de partes parcibus
  25. respeetirae. Ouxe Wrennii noltri craditis comparata, inrenio con-
  26. venire.
  27. Ouod aurem y ad p, SIE uE 2 A ad D; LC, ( opuS et, probabi-
  28. EUIF. OMINCS p (EOE HUMET QUOD IN D SUPPONUINEUE DaETeS RqUA-
  29. les A) Cune series arichmerice proxorcionalium quaru maxima D,
  30. cujus semissis (proprer cerminum minimu infinire exiguum) du-
  31. etus in numerum eerminorum exhibet, omnium cum
  32. mam. Sune aurem oimnes y arithmetice proporcionales, et qui
  33. dem coridem numero, quarum irem cerminus primus est infinice
  34. exiguus; omnium vero summ est ip(+ D. Adeoque (cum veraque
  35. c proerettio arichmerica, ab intinire exiguis inchOdTA) CrUnETuM
  36. OMMCS

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 120. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0136?run=74