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. 61

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: 0.87.

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The machine reads it as

  1. PROP. 26.
  2. DeSectionibus Conicis.
  3. 62
  4. in ipsa Diametro intra Ellipsin jacere supponimus,
  5. nempe intra oppositos vertices,) appello centrum.
  6. F.llip sin anobis desinitam eundem esse cum ea quam defnit Apollonino,
  7. (nihi quod nosetiam circulum, lca circuli Peripheriam, eader
  8. voce includamus, quam exeludie ApoIonim) eodem FercPrO-
  9. pressu demonstrari porest, quo lupra oftendimus Paraholam
  10. moctram eandem eAcacq; illius.
  11. Nempe, Fllips Apollonianx, Sectione Coni Factae (qua ab
  12. Apollonio delcribicur D. 13. lib. 1. COm.) univerlaliter conren
  13. nirc detinitionem noctram; jam probatum cA prOD. 13. a X6.
  14. Elliphm a nobis definicam quamiliber (modo circulum sou Pe
  15. ripheriam excipias, quam ceo sub cd roce comprehendo, con
  16. era quam Apollonius) ica Cono aprari posse ue conditiones
  17. eashabear quas postulat Fllipsis APolloniana; SC probatuE.
  18. Exponatur E. liptis quae liber a nobis detinica, ac, cujus ordi
  19. manim applicacarum quadrata (nE C= --Id - d. Dico hanc Con
  20. mo ica aprari posse ue poctulatur.
  21. Ducantur enim rectae Aa = 1, AS =h continenres angulum
  22. aa quemcunq: acurum, (modo major sE complemento an-
  23. Suli inclinationis in EIlip(c expotica, quem Faciune ordinacim.
  24. 3
  25. viimmorum.
  26. applicaCa

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 61. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0145?run=74