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. 43

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: 0.87.

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

The machine reads it as

  1. l
  2. PrOD. 54.
  3. Drithmetica insinitorum.
  4. numerorum sire quanticatum arithmetice- proportio
  5. nalium, a punctorel o inchoatarum; (puta vor VI,
  6. V29 Y3, _C. VCO, VCI NC2, NC3, _EC. V990, V99E
  7. V442, V943.ec.) Ouas appello series Sublecunda-
  8. norum, Subtertianorum, Subguartanorum; _C.
  9. Exlempli gracia. Si exponantur ejulmodi infinica cnadra-
  10. ea Rrichmecice proporcionalia, sive juxta Ceriem Primanorum;
  11. quibus in Pabella astionacur rario + ad 3: Forum L aceribus.
  12. hoc est, seriei Tablecundanorum) convenier racio 1 ad 12 20 ne quidom
  13. lire 3 2d 3;) quia 2, 12, 2. Cune Arichmenice PEODOE P. Y inductiono
  14. eionalia.
  15. Tcem, E suxponancur ejusmodi infiniri Cubi Arichmerici
  16. proporeionales, sire juxca Ccriem Primanorum; quibus conret
  17. nic in Tabella, racio x ad 2. IIlorum radicibus cubicis, (hoC nâ haec inducho
  18. eR Terici (ubcercianorum) convenice racio 1ad 1 Z (vel 3 ac quod 1, 1Z, 2 sut
  19. 43) _ harum radicum quadraris, rario 1 ad 1 3 (vel 3 2d5:)
  20. Ouia CciliceEx, 13, 23, 2. Tune Arichmecice proxorcionalia;
  21. sicur Ulnitas, radix, quadracum, _ Cubus, sunc Geometrice ortionalor, non
  22. proportionalia.
  23. PC parimodo, Gintinica Beguadeaca, Surdelolida, &c. con- AHtanin 1 mu
  24. Rituca incelliganeur juxca Ceriem Primanorum, quibus conve- istud dechuplu
  25. nic racio 1ad2; corum radicibus Biquadracicie, Surdetolida-
  26. libus, _c. conreniene rationes 4 2d5, 52d6, ec. vel 5ad 14
  27. 1ad 23_C. quia nemDe 1, 1 =, 143 18, 2; ICM 2, 25, 1 53
  28. a3, 24, 2; 8c. lunc arichmerice proporriona lia. Adc09, -.
  29. PROP. LIV. Theorema
  30. Lincellisatur series infinita guancitatum a PIN. sione univit salt
  31. etoseuo inchootarum. et continue crescemium, guir. duor
  32. pro ratione Radicum quadraticarum, cubica- igitum alca in
  33. rum, biguadraricarum, exc, numerorum Arithrieriée ductono opus
  34. proportionalium; (quam appello seriem Subsecunda non fuuis.
  35. norum; Subtertianorum, Subquartanorum, e c.) Prit 1o-
  36. tius ratio ad Periem toridem maxime aegualium, ca
  37. TIR Z
  38. qua
  39. demonitrare
  40. autor Bohuta;
  41. arithmotico pra
  42. datu ividiat ot
  43. ex quadratura
  44. parabola rera
  45. visi conitat,
  46. similitique ec
  47. cquadratum r
  48. Ecquam parabo
  49. cordum conclu

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0255?run=74