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. 79

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: 0.91.

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

The machine reads it as

  1. P. 105, 106.
  2. arithmetica Infinitorum.
  3. cestunc F, 3, 5, _C) auc cuivis denique seriei cujus index
  4. eA umITALCMAJCN UlEPATEL.
  5. PROP. CY.
  6. Theoremao
  7. CY ejusmodi Egura ADBB verticem habens AA inf.
  8. nicum e balin DB dererminatam, rationem ha-
  9. heac ad inseripcum parallelogrammum ADBs majo
  10. rem quam intrnicam; eadem figura ADBB verricem ha-
  11. bens AD infinicum SC Balim sB determinatAM, ra-
  12. eionem habebie ad inseriptum Paralleloorammum
  13. ASBD minorem quam intinitam (finitam nempe:)
  14. Et conera, R Ecu illo considerata racionem habeat mI-
  15. norem quam intinicam; Ciu hoc habebie rationem
  16. majorem quam infinitam: Si deniq; in situ uno ratio
  17. nem habeac simpliciter intinitam (puca neqi majo-
  18. rem neq; minorem) etiam e sicu altero habebitratio.
  19. nem simpliciter intinicam.
  20. Nam verbigracia, in ferie secundanis reciproca, cum sine
  21. (Per PrOD. 99.) recte DB, DB, in diaeErOruM AD, AD,
  22. ratione reciproca duplicata. erum e converlo rectae AD, AD, HOC
  23. cA SB, SB in reCtarUm D B, DB, hoc cR, diametrorum A S,
  24. As, racione reciproca Tubduplicata; adeoque ipla sB.
  25. SB, _C. Cun Ceries secundanis reciproca. BC COnEra. AEqUE
  26. (cum idem eciam in aliis ejusmodi seriebus concingaL) patet
  27. PrOPOtICUm PEF PFOD. 102, &c 104.
  28. In Cerie vero primanis reciproca; eun (ver PrOD. 88.) recta
  29. DB; D B, sinc diameeris AD, AB, reciproee proporcionaleo;
  30. crunc eriam rectae sB, SB diameeris luis A s, A s, recipro.
  31. ce proporcionalen, iplaeque S. B SB, leries icem primanis reci.
  32. Droca. ConHat ergo propOtIEum per PrOP. 103.
  33. D R OP. CVI. Theorema.
  34. lPeries aliqua reciproca per Periem aliam (sive re-
  35. eiprocam Eire directam) mulciplicetur aut divida

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 79. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0291?run=74