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. 39

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: 0.92.

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The machine reads it as

  1. PrOD. 40.
  2. rithmetica infinitorum.
  3. Ceps; quia 2, 3,5,7, _C. lunc Arichmerice proporcionales, ProuC
  4. Ulnicas, Radix, Ouadracum, Cubus, Ecc. Tunc porestaces proxi-
  5. me Cequences ee Geomecrice proporcionales.
  6. Nec hoc aliud ek, quam quod habecur in Tabella; nam sI
  7. quanticaces assumpea linc Ccries Sccundanorum, cujus ratio cA
  8. ; earum quadraca erune leries ovarcanorum, cujus ratio 55
  9. e carundem cubi erun leries Sexcanorum, cujus ratio 3; _c.
  10. uc dictum cA.
  11. PROP. XLVIII. Corollarium.
  12. lconsequenter, Conoides vel pgramidoides com
  13. plemento semi. parabola (cirea ipsius diame-
  14. trum) aptandum, est ad eylindrum vel Prisma
  15. saper aequali base aeqne altum, ut 2 ad 5.
  16. Nempeli complementum semi parabola rectae, AOY, Ma-
  17. nence recta AY, circumrol.
  18. ratur, ur delcribatur C0-
  19. noides rectum: vel, uni-
  20. verlalicer, si (juxta metho.
  21. dum a nobis indicatam
  22. DTOP. 5, 6,9. Con. Sect.)
  23. diametro vel aXi AV, Or
  24. diiracim applicentur circu.
  25. lis vel similia queris plana,
  26. quorum vel radii vel rectae
  27. timilicer politx racionem e-
  28. andem habeant incer (c qua
  29. recta TO, TO, _C. uECOm
  30. pleatur Conoides vel Pyra-
  31. midoides sive rectum sire
  32. inclinatum: dico illud Conoides vel Pyramidoides esse ad Cy.
  33. lindrum vel Prilma luper eadem Bak aeque alcum. uc 1 ad5.
  34. Nam, cum rectae omnes TO, TO, _c. Lunc lerics Sccundano
  35. rum. Cquibus cenvenic rario Lad 3;) limilia quaelibee plana
  36. luver has rectas limilicer conttitura, crunc incer se ut horum re-
  37. carum quadrata; lire in duplicara racione rectarum TO, TO:
  38. Acracio sexiei rectarum illarum conveniens (Periei quipre le-
  39. cundanorum

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 39. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0251?run=74