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. 73

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: 0.88.

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

The machine reads it as

  1. PrOP. 99, 100.
  2. Arithmetica Instnitorum.
  3. det plana prramidoidis parabolici ad rectas complementi
  4. Paraboloidis cubicalis.
  5. Nam e istic index lerici diridencis binario Cuperac indicem
  6. Periei dividenda.
  7. PROP. XCIX. Corollarium.
  8. N oinsmodi serie secundanis reciproca, rectae DB,
  9. aB, ec. sunt in reciprocae rationis Diametrorum
  10. (vel distantiarum a vertice) ratione duplicata (sive
  11. ut dAq D A9, C C.)
  12. Ouia nempe reciproce proportionales sune rectis D B,
  13. aB, _c. quae lunc in diametrorum A D, A d _c. racionis di-
  14. rectae racione duplicaca. Pura
  15. aAg. DA9:: dB. DB:: DB. dB. ErgO dA9
  16. DA9
  17. PROP. C. Corollarium.
  18. DB
  19. dB
  20. N Figura plana C ADBB) ex serie rectarum secnn
  21. danis reciprocarum constata, inscripia parallelo-
  22. eramma (ADB, AdB,) sunt interceptis diametris
  23. CDA, dA,) reciproce proporrionalia.
  24. Sunc enim (per 23. C6) uE D A ~ DB ad d A a dB. EA au-
  25. Ee per praeced.) dB = D Aa DB: EC d A x dB -= D AgDB.
  26. aA9
  27. da
  28. EreO _ D A n DB. d An dB - D Aa DB:: d A+DA + DB.
  29. DA9NDB:: d A. DR.
  30. aE.
  31. PROP. CI. Corollarium.
  32. ET vero fieura plana C APBB) sit ex serie rectarum
  33. Tertianis reciprocarum constata; (quae nempe sint rectis
  34. complementi paraboloidis cubicalis ADB, es Parallelo-
  35. M m
  36. erammi

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 73. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0285?run=74