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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. 38

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: 0.88.

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The machine reads it as

  1. De Sectionibus Conicis.
  2. DROP. 17.
  3. Hoc est (Tobsicutisidoneis symbolis, nemper =
  4. Aa, d DA, 5- d Da, = LA, eE C = DO) duadracum
  5. ordinatim applicatae in EIlipE e3 1= d
  6. 1d- d2
  7. at
  8. =dl-1d -- d2. (omnes enim hae nOtatiOneS FAn-
  9. tundem valent.) Ec quidem (repetita Agura PrOD.
  10. 13.) cam sepacarim Ia FOr BD, _, d2 - = FS nDB,
  11. qua conjunctim - 1a = d2 -- FD, DB- FS = DB =-SD.
  12. DB. DO9.
  13. Demonstratione non opus est alia quam quae proposicionis
  14. curriculo pastim incerterieur.
  15. Estq; hoc quidem essentiale Bllixleos Symproma; unde rcli-
  16. qua dependent de calculo deduei pollune. Uc jam non opus sIE
  17. reliquarum affectionum in ipto Cono inrestigacio; led melius
  18. _ clarius deinceps in absolura Ellipsis contideracione (line ul.
  19. Io ad Conum respectu habito, incticuecur: quam proB. 26.
  20. asgrediemur.
  21. PROP. XVII.
  22. De Hyperbola Sectione Conifacta.
  23. N Experbola; Ouadrata Ordinatim- applicaca-
  24. rum, aequalia Cunc aggregaris binorum rectangu-
  25. lorum; quorum quidem altera sunt intercepeis-
  26. Dismerris proportionalia, altera vero in carundem
  27. ratione duplicata.
  28. Sune enim Omadrata DO, aequalia Rectangulis BD, DS
  29. (Per PFOD. 7.) Ducta verO recta SF F ipA AH paralle-
  30. la, (qux Traperium SSHa in Parallelogrammum
  31. SFH A _ Triangulum SFS, dirimat) erunc ubiq; recta
  32. DS- DFtFS, _ Rectanonta BI) aDS =BD = DPt BD+FS.
  33. Sunc aurem (propcer aequales DF) RectanGula BDKDF, re-
  34. etis BD proportionalia, ideoq. B rectis DA Diamerris. intercep.
  35. ed

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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. 38. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0122?run=74