Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 81

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. PrOD. 107.
  2. drithmetica Infinitorum
  3. Icem E Ceriem Primanis reci- 1)
  4. Precam, cuj8 index nn X, diridac 4
  5. Eeries secundanorum; cujus inclex 9)
  6. 23 prodibic Series Tercianin reci.
  7. Proca, cujus index in 3 = 2 L 2, HeMDC = C minS 2.
  8. acque idem concinsee, in aliis quibulris huinmodi Periebus.
  9. Adeoque constat provolicum.
  10. eROP. CrII.
  11. Corollarium.
  12. P Propterea; Si ad hujusmodi Reuran A DB A,
  13. (ex una parte in infinitum productam juxta
  14. quamcnnq Periem reciprocam, aptetur (eo modo
  15. quo 9 Prop. Con. Sect. e alibi supra ostendis) egrami-
  16. doides vel conoides inversum, (seu porins C alatoides:)
  17. habebit illud ad cylindrum aut Prisma inscriptum C super
  18. eadem basi eque-alium) eam rationem, pvesinitam sive
  19. infinitam seve plusquam insinitam, quam praecedentia
  20. Theoremata docebunt.
  21. Poca, si planum sic rectarum serses subtercianis reciproca,
  22. cujus index n 3, adeoque racio quam habet ad paralleton
  23. srammum inCcripcum (per PrOP. 68, _ 102) ve 1 ad 3 (=
  24. t X) hoc cA, uc 3 ad 2:
  25. tolidum ex cocidem plan
  26. nio constans in rectarum
  27. earum racione duplicata,
  28. erit Cerieo Ouadracis Cub
  29. rercienorum reciproca, cu-
  30. sues index (Dec PFOD.
  31. 106.) 3- na 3 on
  32. vel fplIS m 7 e ratio
  33. illius Colidi au inferio
  34. cum extincrum vel Prisma (saper eodem baki xque altum) us
  35. 2 2d: = - 2 Y 1, rel uc 3 ad s utrobique ratiOBnitR. Per
  36. EFOD6ASCF 2.
  37. Siplanum, sie series sublecundanis reciproca, cujus index
  38. 23 adeoque rario ipus ad Porallehogram mum inlcrixiem
  39. e
  40. EBF

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 81. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0293?run=74