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. 170

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.

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

The machine reads it as

  1. arithmetica Infinitorum.
  2. PrOP. 190.
  3. POEIS PrOCENUS demONSTRTUE Ex PrOD. praced.
  4. Norandum aucem de hic numerum quemvis incermedium 28-
  5. erceacum esse ex duobus alcero surtum oltero ad dexeram (non
  6. proximis, sed post unum incermissum,) posiris.
  7. Cajusq: Seriei CharacterEm (quacenUS Per, proP. 181 inno-
  8. celcic,) libuic eciam adjunsere, quo melius perspiciat lcctor
  9. quoulq; rem perduximus.
  10. SCHOLTV M.
  11. Acq; hactenus quidem rem perduxisse videamur Caris Felici.
  12. cer. Verum hic candem heret aqua. Neqi enim video quo
  13. pacto possim vel ouancicarem e reperire, vel characterem le-
  14. xiei A. CCF Propterca, nec characteres lcrierum imparium
  15. Penicus aslequi, licer eorum ad inricem raciones coenoleanturs
  16. nec imparium serierum locosimpares, quamris d horum eci-
  17. am cognoleantur quas habene ad invicem ratione s.) Ouan-
  18. quam enim simameri lacerales sinc inceori, puta 1, 2, 3, 4, dC0
  19. noca eric quancicas A, DUTa L, 23 3, 2̀, _c. non camen Facile
  20. eA deprehendere quo pactohorum numerorum ad luos respe-
  21. etire numeros lacerales racio possie una aligua aequacione ex-
  22. plicari: unde e religuis laceribus (locorum imparium) 2,2:
  23. E. RC accommodari possie sira quancicas A. onanquam enim hinc
  24. Ipeo non exigua rila eA aftulsilse, lubricus camen quem pex ma-
  25. nibushabemus Proceus cam hic quam superius non raro elap.
  26. Cas, Ipem Fetellic. Ouem aucem ee hic comprimenci vulcum
  27. octenderic, non cric Forcastis insracum appoluisse. NenPe-.--
  28. PROP. CIXXXZ.
  29. Theorema.
  30. N Cerie quarta, (sive parium secunda,) cujus nu-
  31. meri alterne Cumpri (in locis paribus) 13 2, 3, 4
  32. 5, EC. hunc continua mulciplicatione numero.
  33. um scu racionum 1X Z a ZX 3 L Z, RC. CCH 2X4, EX 4 x 2
  34. ci _, Cin locis imparibus,) 3,2. Z, Z, _c, ex mulciplicaris
  35. 2xZxZXZx3, _C: Si, propter incercalationem unius in
  36. ingulis spaciis numeri, (uc ex locistam paribus quam
  37. imparibus intermictis una Aat Peries,) quaelibet ratio-
  38. num, in quas continue mulciplicatur terminus tam
  39. Parium

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 170. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0382?run=74