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. 68

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.

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The machine reads it as

  1. DeSectionibus Conicis.
  2. PROF 17.
  3. Duas verohujulmodi (ejusdem eltip (eos) diame-
  4. txOSu (Duta Aa, a a) sibi mutuo ordinatim politas,
  5. Diametros Conjucatas dicimus, (que se mutuo bile-
  6. CaNE IN COIIMUNI CCHErO C;) punctayis Aa, vel aa9
  7. conjnearos verrices (in Conjusacis quippe diametris
  8. repertOS) appellamUS.
  9. Elliphn aucem binis Diameeris Conjugatis, carumq; quatu
  10. or vercicibus sic instruetam, voilumus quidem quali Pro quatu
  11. oe sire Flliplibus sire Seetionibus habere, guarum qua libet (u
  12. un habet verticem, Tuamq; Diamecrum, etq: O. dinacim. ap.
  13. plicatas _ Lacus rectum. Ouarum guidem quacuor, binar atas
  14. auae, Opposicas dicas, (UE d Aa_, dae A,) quarum nempe verrices
  15. lune oppolci; binas vero aAa, Rea, vel Aaa, eda, Cquarum
  16. vereices lunt conjugacis urpore in conjugaris diameeris politis)
  17. Coningatas diCaS.
  18. Omamris enim Sectionum Oppositarum _ Conineatarum nomine,
  19. Hyperbola ue plurimum intellisi solcane: nihil camen impedis
  20. quo minus ut Hyperbolass lic) Fllipses Opposicas d Conju-
  21. EaCas dicamuS: vel salcem (siid nominis displiceac) Fllip.
  22. lin dicemus Opposito _ Coniucaro sicu consideratam. Id Calrem
  23. inscre inter quaruor Sectiones Hyperbolicas, cotidemque P Ilip-
  24. cicas, (conjueacis Diamerris accommodatas,) quod hae quio
  25. dem (producta Se mucuo concinunne Cadeoq; FIlipss coca ad
  26. guemris quatuor vereicum referri porerie,) illa aucem non ica.
  27. Verum haec melius soreasse percipientur quum deinccps de Hy-
  28. Perbolis Oppolucis _ Conjugaris dictum erit.
  29. Incerim nocendum eRt, Oppolitarum sive PIlipleon sive V er-
  30. ticum (perincle enim eA verum dicaeur,) Diametrum crant:
  31. verlam communem esse, d quidem Lacera recta xqualia, (vel,
  32. si maris, idem; nos enim de lateris recti lcu nullam prortus
  33. considerationem habemus, sed Polummodo de iplius maxni-
  34. cudine, neq: enim omnino retere relubi, rel an ommino lcritia.
  35. cur auc Ccribi incellieacur,) e quidem caldem Crdinacim ap.
  36. plicatas; Diumetros intercepcas vero oppolicas habene, qua
  37. quidem simulaequancur diametro interceptiX

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 68. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0152?run=74