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. 40

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.

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The machine reads it as

  1. Ariihmetica Insinitorum.
  2. ProP. 49, 50.
  3. cundanOTum) cR L ad 3; erso Ceriei planorum conreniet ra-
  4. eio 2ad5: Quia nEMPC X, 3, 5, Cunc Rcichmetice proportio
  5. nales: (ProucUlnicas, Radix, e ouadracum lunc Geometrice.
  6. proportionaies) Er quidem, li rectae TO, TO, _C. tint Ceries
  7. Sccundanorum; carum quadraca (rel plana quadratis pro-
  8. Porcionalia) erune Cerieo auarcanorum; cui in l’abella conre-
  9. nic ratio 1ad 5.
  10. P R O P. ZLIZ. Corollarium.
  11. Cmiliter; si complemento semiparaboloidis ex
  12. bicalis aptetur (circa ipstus Diametrum) Conoi-
  13. des vel erramidoides; erit hoc ad Cylindrum vel
  14. erisma (super eadem vel aequali base aeque altum,) ut L
  15. ad 7.
  16. Nam, cum rectae TO, TO, _C. (in complemento Semipa.
  17. raboloidis Cubicalis,) sinc series Tercianorum, guibus in Y2.
  18. bella convenicrario rad 4; horum. quadeatorum C vel pld
  19. norum quadraris proporcionalium) Periei conreniee racio s ad
  20. n: quia i 4. 7, sunc Arichmetice proportionales. Velcciam,
  21. quia plana lunc series Sexcanorum, quibus in Tabella alligna
  22. cur racio 1ad7.
  23. PROP. L. Corollarium.
  24. sI Pariter; si semiparaboloidum aliorum (puta Bi-
  25. Lquadraticalium, Surdesolidalium, G c.) complemen-
  26. tis aptetur (circa eorum diametros) Conoides vel egra
  27. midoides aliquod: habebit illud ad Cplindrum vel eri sma
  28. CImper aegualibase equealtum) rationem notam (puta L
  29. ad 9, Tad TI, ∞ C. 3
  30. Cum enim complementorum illorum rectae sinc Ceries quar-
  31. eanorum, anincanorum, ec. adeoque raciones in Tabella astis
  32. nacas habeane, ad5, Iad 6, Rc. series quadratorum (vel pla
  33. norum quadracis proxortionalium) cationem habebune
  34. xad 9, LadEF, _C. Guia L, 5, 9, rel 1, 6, IF, _C. Tunc acich.
  35. metice

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 40. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0252?run=74