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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 388

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: 0.91.

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The machine reads it as

  1. PFTOP. ZLIX.
  2. circumra H detcribatur Conoeides rectum: vel, universaliter, S (juxra
  3. methodum a nobis indicaram prop. 5, 6, 9. Con. Scet.)
  4. diametro vel axi AT, ordinatim applicentur cireu
  5. Ii, vel similia quaeris plana, quorum vel radii vel
  6. rectae Cimiliter polux rarionem eandem habeane in-
  7. ter se quam rectae TO, TO, ec. ut complealur C0.
  8. nocides rel Prramidocides live rectum sire inclina-
  9. cum: dieo illud Conocides rel Prramidocides elle
  10. ad Cylindrum vel Prisma Cuper eadem bali aque al-
  11. tum uc X ad 5. Nam, cum rectae omnes YO, IO.
  12. Ec. Tine Teries Secundanorum, (quibus convenitra-
  13. tio L ad 3:) similia quaelibet plana super has rectas
  14. similiter constituta, erune incer se uc harum rectarum
  15. quadrata; lire in duplicata rarione rectarum O,
  16. FO. Aeque ratio seriei rectarum illarum conveniens (seriei quippe secundano.
  17. rum,) estr ad 3; ergo seriei planorum conveniet ratio F ad 5: quia nempe I, 3,
  18. 5, Tune Arichmerice proporrionales: (prout Onitas, Radix, e Ouadratum sune
  19. Cieometrice proporrionalia.) Ft quidem, si rectae YO, FO, ecc. Tinc Series Se-
  20. cundanorum; earum quactraca (vel plana quadratis proxorrionalia) crunt series
  21. Ouarranorum; cui in FabeIa COnVEHII EAHO + ac 5.
  22. PROP. XLIX.
  23. Corollarium.
  24. T similiter; Si complemento semiparaboloeidis cubicalis aptetur (circa
  25. ipsus Diametrum) Conoeides vel P yramidoeides; erit boc ad Cylinarum
  26. vel Prisma (super eadem vel aequali base aeque altum) ut 2 ad 7.
  27. Nam, cum rectae YO, YO, _c. (in complemenio semiparabolocidis Cubicalis,)
  28. Tinc series Tertianorum, quibus in Pabella conrenieracio c ad q; horum qua-
  29. dratorum (vel planorum quadratis proportionalium) feriei conveniet ratio L ad
  30. 7; quia 2, 4, 7 Tune Arichmecice proportionales. Vel eriam, quia plana lunt se.
  31. ries dexcavorum, quibus in Pabella alsionatus ratio r 2d7.
  32. ape P Rs C. Po ecI s
  33. Corollarium. ) Sectileeu aue
  34. cs fsitayc
  35. F Pariter; si semiparaboloeidium aliorum (puta Biquadraticalium, Su-
  36. persolidalium, C3C.) complementis aptetur (circa eorum diametros) Cono-
  37. eides vel Pyramidoeides aliquod: habebit illusd ad Cylindrum vel Prisma (su-
  38. per aequali base aeque altum) rationem notam (puta 2 ad 9, 2 ad TF, (3c.)
  39. Cum enim complementorum illorum rectae sinc series Ouarcanorum, Ouintano.
  40. rum, ecc. adeoqne rationes in Pabella altignatas habeant L ad 5, F ad 6, e. Teries
  41. Ouadracorum (vel planorum quadratis proportionalium) rarionem habebunt =
  42. 2d9, +ad TE, _C. quia 2, 5, 9, vel L, 6; TF, _c. Tune prichmetice proportionales.
  43. Vel etiam, quia E rectae Sine feries Onartanorum, Guincanorum, etc. plana simi-
  44. lia ad has rectas similiter posira, erunc series Octaranorum, Decimanorum, ec.
  45. quibus conrem ratiOL ad D, Z ad FF, eC.
  46. SC T2OF TV M.
  47. Atque hoc pacto figurarum Colicarum superticiebus curvis comprehentarum
  48. insens mulcicudo reduci vollunt ad alias superticiebus planis comprchen(as; et
  49. corpora non modo coniea (quod docverunt veteres,) led et alia quamplurima
  50. conoeidica, ad estindrum reduci. Quod neleio an quilpiam alius ancehac osten.
  51. deric.
  52. PROL.
  53. LRLIAMETTCA

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 388. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0408?run=74