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. 17

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: 0.90.

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The machine reads it as

  1. P. FOP. 21, 22,23.
  2. drithmetica insinitora
  3. P R O P. X XI. ZhcOreMA.
  4. P pro ponatur series infinita Zrantieneum in du-
  5. Plicata ratione arithmerice proporcionaliu, (sive
  6. juxta Ceriem numerorum quadrarieorum,) con-
  7. tinue crelcentium, a puncto seu o inchoatarum; crit
  8. illa ad seriem rocidem maximae aequalium, ut 2 2d3.
  9. Pacet ex praced.
  10. DROP. XXII. Corollarium.
  11. Deoq; Conns vel Pyramis ad eylindrum vel Prisma
  12. Super eadem vel agnali base aqne altum) est ut +
  13. 43. 3.
  14. Conttare enim supponimus cam Conum quam Pyramicem
  15. ex intinicis planis similibus _ parallelis, in duplicaca racione A-
  16. richmerice proporcionalium consticuris, quorum minimmum
  17. Suxponitur Punctum, maximum vero bals; (per ea qux dixi
  18. musadPEOD 6. C Om. Sect.) Cylindrus surem. vel Prilma, ex
  19. cocidem maximo aequalibus CuE PAECE:) Racio igieur cA UC L
  20. ad 3. Per praced.
  21. DROP. 2ZIII.
  22. Coroll:
  23. Tem complementum semi-parabola, (intelliee freu-
  24. ram AOT quae cum ipsa semi- parabola complet Pu-
  25. ralleloerammum,) est ad Parallelogram mXI TD
  26. Super eadem vel aquali base aeqne-altum) ut 2 act 3. (FF
  27. conseguenter, ipsa semri- parabola est ad idem Paralielo-
  28. Prammum, ut 2 adt 3.)
  29. RAoenim FigurX ROT vercex A, diameter AT, basis TO.
  30. 19 Parallelae quoclibet (Balem incer _ verricem) TO, T1).
  31. ac. Ouonigm CurIC (PerDTOD. 2I C On SCCT.) reAX DO, DC.
  32. Lc. in Cubduplicaca ratione rectarum AD, AD, _C. ErUE
  33. eCOntra

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 17. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0229?run=74