Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 102

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: 0.83.

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

The machine reads it as

  1. a b
  2. R na2 LPCd
  3. Curvarum FddovoE,
  4. la quadrata; eorumque radices As.
  5. utem arcuum circularium differentia
  6. Adeoque ut illae omnes, ad omnes HAS; (IC FI-
  7. lIpseOS ExPOSIEX perimeTeF, LEF, vel ABC, ad peripheriam
  8. circuli F Z C, vel AF. (Ouod e aliis Ellipsium speciebus
  9. Facile accommodabitur, uE mox docebIEUF.)
  10. Deinde, Si incellisantur cum Ellipseosilla, cum lx perime.
  11. eri circularis parciculae, in iisdem respectire a suis aribus distan-
  12. eiis converri; unde hac illic, Sphaeroidisoblongis hic, Sphaerx
  13. Superficies: Frir superficies illa ad hanC; VIE OInneS A V: 2 R2
  14. a2: 2d coridem A R; EIVe, UE OmneS V: 2 R = a. 2d +0-
  15. tidem P: HlOc es, (h incelligatur in parallelogrammo (H9. 3L.)
  16. AB= RV2, eE A R = R, adeoque aF= a, reliquaque uE in
  17. Schemace COnRruCta,) UE R C B A quadranis circuli segmen-
  18. Eum, ad quadEaTUM A R minoris semidiamerri. Sunt enim
  19. omnia beb rectangula, hoc est RV2 t a IN RV2 = a, hOC
  20. eHt, 2R = =a2; UE rectATUM FC Quadraca: adeoque OIneS FC
  21. reCtA, UE V: 2 R= = a. Ouod etiam ex PrOP. 224 Arich. IntIn.
  22. Fulius pacebie.
  23. Fodem modo, ad alias Flliphum species res accomodabieur.
  24. Si hoc Calcem adVerEaTUE; In praesenti CaTU, PFOPEeF FC = CPHO. 2.
  25. vel 29. aliquotas parres cum rectxe FC cum rectx C P, eodem lym.
  26. bolo 2 delignari. Sin recta CF (quxe porest excessum quadrati axis
  27. lonsioris supra brevioris quadracum) vel longior esset velbrevior
  28. quam F C (circuli diammeter, vel FIlip seos axis. MINOF,) puTA UE
  29. TTadR; POHIEa L aliquota parce diameeri circularis (ut priuS,)
  30. erit = A eadem parS FeStX C T: AdeOque PTO p
  31. sis
  32. cumendum eris
  33. TI2.
  34. + A
  35. X a 2. Adeoque Sphaeroidis illa sur
  36. R2 A
  37. perticies, ad supersiciem Sphaerae, crieut onnes V: R F Y2
  38. dF
  39. A a
  40. 2 LC
  41. Spheroidis
  42. oblongi sit
  43. persibtes.
  44. F15. 3I.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 102. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0122?run=74