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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. 314

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: 0.89.

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The machine reads it as

  1. DE SFCTTONTBOS
  2. PcoP. XV.
  3. enim omnia rectangula BD x DS, HBC est, omnia quadrata DO, aequantur ont
  4. nibus rectansuslo BDX VF, demptis omnibus BD X LB, Patei propolium. Om
  5. MIa CHH SCCaS la BD X D F consticuun cuncum Parabolicum, (per PTOP. TF.)
  6. Omnia vero BOX FS, Pyramidem; (PeF PTOP. 6.) Forum isitur ditterentia à
  7. quatur vel Cuneo EIipeico, rel etiam EIliprico Pyramidocidi.
  8. PROP. XV.
  9. De Conveideos e Dyramidocideos Flliptici Sectione.
  10. 27 Poramidoeides vel Conocides DNipticum plano per Arem (vel,
  11. Ei maris, Diametrum) sccetur; sectio exit (vel circulus, rel Cal-
  12. C) LFtdo
  13. Probato ejusmodi uenda est, qualis prop. 6, _ r0. ubi Sectio Pyramidis
  14. per axem ostenditur esse Priangulum; e Pyramidocidis Parabolici Parabolom
  15. Alias rero lectiones non per-Axem, non liber hic speciacim actinsere. Moneo
  16. tamen Conoeideos Fllipriei (hoc elt, Sphaerocideos) Ares (nisi Diametros malis
  17. appellare) numero infinitos esse in communi centro (ue FIliplrum Diametri) cocun-
  18. tes: qui omnes sua plana habent ordinatim applicata. Noca etiam Conoeideos FL
  19. liprici (vel Sptiaerocideos) Sectiones omnes plano factas (Cire per-axem, adeoque
  20. et centrum, transeunte, sive non,) esse (vel circulos, vel Paltem) Fllipses.
  21. etis aurem diurius insistere non est hujus loci. Sulticit monuilté.
  22. PROP. ZVT.
  23. De Fllipsis Latere. Recto.
  24. AFTNE manifestum ex dictis, Ouadrata DO, (Rectanoulis
  25. BDKDS aequalia,) ex cognitis rectis BD, DS, cognolci posse;
  26. non autem, e contra, ex cognitis DO, cognolci rectas BD, DS5
  27. (possunt enim rectangula BD x DS infinitis
  28. modis rariari, dummodo eadem maneat ordi-
  29. natim applicatarum quantitas, adeoque eadem
  30. Eliplis in conis distimillimis reperiri: ut pa-
  31. tere poterit ex eis quae supra de Parabola dicta
  32. Tunt ad ProP. 12.) Placuit isitur Conicorum
  33. Scriptoribus (ue in Parabola, HC) in FIliph aliis
  34. mensuris ordinatim applicatarum quantitatem
  35. determinare, quae eandem Fllipsin ubique co.
  36. MIEONEUE.
  37. Nempe pro singulis rectis BD, substitmunt
  38. singutas AD, diaMEErOS INCETCEPTAS; quae qui
  39. dem illis sune proportionales.
  40. Pro recta vero AS, substituunt aliam, puta L A, imaginariam,
  41. (quod Latus Rectum appellanE) quae tribus AS, BD, D A, sit quarta
  42. reciproce proportionalis; ut sic ubigue BDK AS =D AXL. A. Ad.
  43. eoque Latus rectum L. A =
  44. X AS, _ AS =
  45. DB+ L. A.
  46. Tum (continuata Diametro AD donec oppotito Frianguli per-
  47. axem cruri occurrat in a, ut habeatur Diameter tranlrersa Aa;) erit
  48. propter similia crianeula) AA. AS:: Da. DS = - = x A5. 1d00.
  49. Ad
  50. eaC
  51. nd

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. 314. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0334?run=74