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. 13

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.

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

The machine reads it as

  1. Drithmetica insinitorum.
  2. PROP. XVI. Cooll.
  3. Ddrabola vero sic convoluta (hoc est, freura Spirali no-
  4. Lstrae adjacens) est ejusdem Parabola evoluia le-
  5. missis.
  6. E enim, Y. 8. Si supponamus parallelogrammi PM laTUS
  7. At
  8. DE ita convolvi, uc rectarum ommium
  9. PM puncta M in eodem puncta coc.
  10. ant, tat ex ParallelOgraMInO (PrOPECK
  11. PACIOS OIMMES R COMMUNI CENETO M X -
  12. quales) circuli sector (qui circulo int
  13. ccoro vel minor eric vel major vel a
  14. qualis, pro ea racione quam ad ingicem
  15. hrabeane rcctae PF, PM;) qui quidem
  16. Scctor C. hoc est Paralleloorammum
  17. convolucum) crie Parallelogrammi
  18. Ceroluci) Semistis; (propierca quod
  19. Prointimels Ldralleloorammis ex quibus Parallelogrammum
  20. expolitum constare suxponitur sunccocidem in Sectore crian-
  21. ula caldem ee bales _ alcicudines habeneia:) Pari modo, R ica
  22. convolvecur Parabola uc dictum est, Sc ordinacim-
  23. applicatarum (pridem parallelarum) extrema alcera in eo-
  24. dem puncto coeanc; intinica illa parallelogramma ex quibus
  25. constare lupponimus planum parabolae (per ca quae diximus
  26. ad prOP. 2, _ 8. C On. SeCt.) fent toridem criangula ealdem &t
  27. bates d alcicudines (cum illis parallelogrommis) habencia:
  28. et propcerca Parabolatic convoluca (hocest, tigura SpicaliS,)
  29. iplius croluex lemillis erit.
  30. Acq: hoc quidem convenie cum sis quae habet Torricelliue
  31. Exenipl. 8. eorum quae iplius cractatui de Colido Hyperbolico
  32. eraemilie; utuc a principiis plare divertis pecica.
  33. P.R OP. XVII. Corollarium.
  34. Aluper, segmenta spiralis, quae fiunt circulationious
  35. prima, secunda, tertia quarta, e sec deinceps; sunt
  36. inter
  37. PROP. 26.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 13. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0225?run=74