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. 348

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.

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

The machine reads it as

  1. ECTTONTBOS
  2. lxOD.
  3. Lram E orcltaum appluce
  4. OD, od, diametro Aa (vertus
  5. caldem partes;) crunt illae (Pa-
  6. Laltela Palatecto cermnatae, Aco.
  7. que) aequales; et Propterea CD,
  8. Cid, etiam aequales CrInE (pTO-
  9. peer communem oppoluarum Lly.
  10. verbolarum diametrum- tranlver-
  11. la et aGlasta latera recta;) 1d
  12. coque et dO, 8o, (DiO Patat
  13. Lelas) aequales CtI.
  14. mus
  15. Sunt aurem rectae sO, hoc est
  16. CD, ea quancitas quam supra dixi-
  17. d
  18. eROP. XL. II
  19. De Conjucatis Lyperbolis.
  20. Latus rectum l;) acque in Manetro conjusata dd, sumantur d
  21. nempe (ct. P:: 5. .) c dd transversa diameter conjurata: P. 2-
  22. que si describancur Oenu Arperbola, vertices habentes an an e
  23. Ordinatim- applIcataS dco
  24. diameero Aa ParallelaS, L. 2
  25. tusque rectum n = =, (u
  26. nempe AC F. 2: : r. P.) di-
  27. CentuT. OpPOALI VOTEICCS a a
  28. ip(IS A a vertices conjurati;
  29. atque Fyperbola a a ipliS
  30. Aa, Typerbola conpuatae;
  31. commune cum illis centrum
  32. habentes, (ut Patet.) Sed
  33. et casdem habebune AErm.
  34. DtotaS rectas: ut jam de-
  35. monstraturus Tum.
  36. Nam completo parallelogram.
  37. MO MMI, (cujus latera per con
  38. jusatos verrices transeane, Line.
  39. que conjugatis diamerris transvertis parallela, de propcerea aequalia;) crune rectae
  40. CM OmniUm AEYMPTOTE; Der DrOP. 39. (Idem accidet, si sumpris quibulvis CD,
  41. Cis, ipsiS C. A, C a proporcionalibus, formetur Parallelogrammum circa idem cen.
  42. trum C, latera habens conjugaris diamerris paralleta: Omnia enim puncta anou-
  43. laria, in AIymptoris CM reperientur. Puta, S ordinatim applicars, in hac Fi.
  44. sura descripia, ad ATymptOraS UIque CONtInVareNEF.)
  45. Praeter illas aurem Asymptotas duas, nulla in eodem plano recta duei potest,
  46. guxe (producta) non alicui ex conjusaris Hyperbolis (produetis) Occurret. VE
  47. ex praedictis facile est demonstratu.
  48. Parallelosrammum autem MM (per quatuor conjusatoS verrices EranSIenS)
  49. respondet parallelogrammo Lllipli circumleripto per iphuS Conjusatos vertices
  50. cranseumei.
  51. PROP.
  52. F sit Eyperbolarum. Oxpolitarum eransrerla diameter A a = t (de
  53. centro utrinque aequales C a Ca; sEque EOTA a C a = = = V EV (UE

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. 348. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0368?run=74