Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 88

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: 0.90.

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

The machine reads it as

  1. DeSectionibus Conicis.
  2. PROL.
  3. Acq; hinc dOCeMUT. Rectam a F ducere quae H) perbolam in daso
  4. puneto a contincat. Sumpea nempe CF-
  5. C AC
  6. CH, d quidem 2
  7. C VerEUSA, Si conractus requiracur ad Hyperbolam A a, vel
  8. eadlem rarione) aC vertus a, si 2d Hyperbolam opposi
  9. Tam.
  10. aeq; hinc sequIEUT; Rectam contingentem Fyperbolae diamerro ci
  11. era centrum occurrere; Puta intra centrum ex verricem: C nam quod ut
  12. era vercicem sic, Paret ex pradictis, cum sic EIC. HA:: HA. HP.
  13. eR enim HC minor quam Ha, ideoq; _ HIA minor quam HF:
  14. Ouod aurem sic ciera cenerum, pacer cciam, quia, uc dictum ctt.
  15. AC. CA:: HIA. AF, ad e09; HC. HA:: AC. AF. aC HC majoe
  16. eA quam HA, CrgO AC major quam AF.)
  17. lcem, a quovis diometri puncto P, inter Cy perbolae vertieem e cent
  18. irum sumpio, duci posse rectam Fa, quae FIy perbolam contineat. Ou0 a
  19. cem punctum F puncto C proxiuslic, eo remocius abest de pun.
  20. ecum contactue a et punctum. applicarionistruic conreniens H.
  21. QIta _ECF. CA :: C. A. C FI.
  22. adeoq; si supponamas punctum P ipE C coincidere, uc di
  23. Aantia CF =o nulla (IC; erit proprerea C H intinica s HOC cA,
  24. punctum H, (adeog; e punctum a ) supponendum cR infinice
  25. distare, adcog; vel nulquam rel non ni in Aypberola acru intr
  26. nicd reveriri.
  27. Cumque punccum C indiserenter se habeae ad utramq; Hy-
  28. Perbolarum oppolicarum; ca qua supponitur Concinsens pee
  29. eenerum ducenda, verlus ucramris parcem producatur, infinica
  30. erie, adeoq. Hy verbolarum illarum MEMETI DCCUFTCE. C_ PrO
  31. peerea Asymprora dici Colet, uc potdicetur.
  32. Alia quae adjungi polsene corollaria lubens omitto.
  33. PROP. XXXVII
  34. De Fsyperbola Diametris.
  35. Iper Eyverbole Centrum C, punctumq; in cur-
  36. ra quodlibera, transeat Ca recta; erie illa ejul-
  37. dem Arperbole diameter, verticem habens

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 88. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0172?run=74