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. 47

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: 0.83.

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The machine reads it as

  1. PrOP. 59.
  2. Arithmetica insinitorum.
  3. 42d5: eorum cabi racionem habebune (ad Teriem eocidens
  4. maximo gnalium) ucr 2d1 Z, vel q ad7. Ouia nenpe 1, 2 4
  5. 2L, 1 2, Vel 2 Z Z. Z. Cune Arichmerice proporcionalia, sicuelni-
  6. 145, Racix, Ouadracum, C ubur, _C. LunE GEOMetrICC. PEOVOF-
  7. Exlimilicer in poreltacibus maxis adhue compoliris; puta
  8. tionalia.
  9. Radices quadraciex cuboru Cerici (utquintanorum. Nam Cerici
  10. lubquincamoru conrenieracior ad X 3 vel 5 ad6; creocorum
  11. cubis conreniet racio 1 ad 1 E vel 5 ad 8 (quia nempe 1, 1 5,
  12. 23, 13. vel 5, 5, 2, 5. lunc Arichmecice proxorrionalia;) e coru
  13. Radicibus quadracis, ratio 1 ad 120, Vel 10 ad 13, (quia nempe
  14. 2 20 CA medium Rrirhmecicum incer 1 ad x3, Tunc enim 1, 2 303
  15. E = 1 3 rel 28, 28, 25, = 3 Rrichmecice provorcionalia;)
  16. 2
  17. VCeriam cum radices ouadrarica subguineanorum Anc Ccrics
  18. Subdecimanorum; cui conrenie racio 10 ad Xr vel Xad 1 20 3
  19. Earum radicum Cubi rarionem habebunt eam quae ett r0 2d 13
  20. vel 22d130: GMIa 1, 1 20, 2 203 1 70 vel 203 2es 203 aes Tune
  21. c
  22. 22 2
  23. quacuor termini arichmerice proporcionales.
  24. Acque eodem modo, in Ceriebus aliarum Porectacum utcun-
  25. que compolitarum, carundem racio ad seriem aqualium inve
  26. cigabicur. Adeoque..-
  27. PROD. LIX.
  28. EBeorema.
  29. Y incelligatur series infinita quantitatum, a pun
  30. cto seu o inchoatarum, e continue crescenti
  31. um proratione pocectatis cujulvis ex simplici
  32. bus (PrOP. 44. eF 54 MeMOTATIS) compolica; CrittO
  33. cius racio ad seriem totidem maximae aequalium, Ca
  34. ouxe sequitur in hac Tabella. Nompe
  35. Kacced

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 47. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0259?run=74