Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 337

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: 0.85.

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

The machine reads it as

  1. PFOD. XXXIII. C ON LCFS.
  2. Diametrum, Diametros interceptas, erticem dinatim- positas. Ordina-
  3. tim inscribtas. Ordinatim applicatas, atque Punctum applicationis; eodem
  4. sensu hic accipio quo iidem supra de Parabola d Ellip usus sum.
  5. Rectam nota l insionitam, (lineam puca imagual qua cum in-
  6. tercepeis diametris, binorum rectansulorum illa COnTinEE qua sunt
  7. ipsis diametris interceptis proporcionalia,) appello Latus Rectum.
  8. Rectam vero alteram, qua
  9. nota + designatur, (quam
  10. quidem suxponimus Diame.
  11. tri supra verticem continua-
  12. tionem, rerlus conrexam
  13. curra partem ductam; quae
  14. que ita se habet ad L aCuS- FC-
  15. ctum uc diamecrorum inter-
  16. ceptarum quadrata ad bino.
  17. rum Rectangulorum illa qua
  18. quadratis illis funt ProPor-
  19. tionalia:) Diametrum trans-
  20. versam axpello, (ut qua Op-
  21. pohtis Oppolicarum Frver-
  22. bolarum vertices conjunsit,
  23. ut pon dicetur;) ejulque pun-
  24. ctum medium, (quod qui
  25. dem extra Fyperbolam jacer, sed inter Hypet Dolas Oxpositas, ut post
  26. parebit) appello Centrum.
  27. TEyperbolam a nobis definitam eaniem esse cum illa quam desinit Apollonius,
  28. simili sere proerettu ostendemus, acque supia de Pacadola L Etuls
  29. DEOP. 21, _ 26.
  30. Hyperbolae nempe,: (qualem definit Apollamus Cb. . L. IP. 22.) Se.
  31. ctione coni facta, univertaliter convenire detinicionem a obls propolucam; jam
  32. Probacum cAt prOP. 27, e 20.
  33. Contra vero, Hyperbolam à notiis de (exiptam ita Cono aptari posse, ut eas ha-
  34. beac conditiones quas poltular Fyperbola Apolloniana; sic probatur;
  35. isC) sIVit CdsrajeE esleret EEXE s u SIt
  36. Subi tiiESSit B CEBCICI
  37. 135: 2311p3eit: rier t 3 3L C1S
  38. TEciL IO AITLSSSEIOS
  39. estilLO SierI :set)
  40. Exponac Lyperbola quaelibet a nobls deliulla ac, cujus Ordinacim applca
  41. cacum qualilala hine a+, d. Db hade CBB ia t potetal aptari
  42. Polte.
  43. 351IS1
  44. Ducacue

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. 337. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0357?run=74