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. 49

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: 0.93.

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The machine reads it as

  1. Arithmetica insinitorum.
  2. Cum enim Parabole, et Paraboloidum illorum plana sine
  3. Peries rectarum in ratione sublecundanorum, Tubcercianorum,
  4. Lubquarcanorum, suibquintanorum, _C. sire ucradices quadei.
  5. dicae, cubiex, biquadraricae, Turdelolida, _c. Primanorum:
  6. Cionoidea e Paraboloidea sic apcaca, Cune Peries planorum in du-
  7. Plicaca racione iltarum rectarum; de propeerea, uc radices qua-
  8. dracicae, cubicx, biguadracica, surdesolida 8c. Secundanorum.
  9. quibus in cabella allignancur raciones illa 2 2d 4, 3 2d5, 4ad
  10. 6, 52d7, _C.
  11. PROP. LXI. Corollarium.
  12. Ed e hinc innotescit methodus quadrandi non
  13. modo Parabolam sed e Paraboloidea omnia (eo-
  14. rumqu complementa) non modo eagnorum ordina-
  15. tim-applicatae procedunt juxta rationem simplicis alicu
  16. jus potestatis, (de quibus dictum est prop. 55, 56, 57.
  17. item prop. 23, 45.) Sed e juxtarationem potestatis cu-
  18. jusvis ex simplicibus compositae. enta; si ordinatim- ap-
  19. plicata sint in diametrorum ratione duplicata subtripli-
  20. cata, subquintaplicata, sub septuplicata. exc. vel triplica.
  21. ta subquadruplicata, subquintuplicata, ec. rationem
  22. habebunt ad Paralleloerammum circum seriptum eam
  23. quam habent 3 ad 5, 5 ad 7, 7 ad 9, 8 c. 4 adt Z. 5 ad
  24. 8, e c. Et eorum complementa (quorum ordinatim- appli-
  25. catae erunt propterea in suarum diametrorum ratione sub-
  26. duplicatae triplicata, quintuplicata, septuplicata, ec.
  27. item subtriplicatae quadruplicata, quintuplicata, c.
  28. rationem habebunt 2 ad 5, 2 ad 7, 2 ad 9, 8 c. 3 ad 7.
  29. 3ad8, Cc. Pt siniliter in caeteris: juxta tenorem prae-
  30. cedentis Tabella, prop. 59.
  31. Nam s ordinatim applicaca sine in dismetrorum (IRrUIM
  32. racione duplicaex subcriplicata, eric planum il lud series recta
  33. rum que se hrabene ad inricem in quadraca radicum cubicarum
  34. ret iadices cubicae quadratorum) numerorum arichmecice
  35. PrOPOE.
  36. CFOD.
  37. 61

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 49. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0261?run=74