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. 29

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: 0.88.

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

The machine reads it as

  1. PROISO
  2. Arithmetica InsinouM.
  3. parcicularum cermiais ad cangencem itlam roridem OraIMa
  4. eppliceneur rectae, (Parabolae diametro propierea Paralclas
  5. ee Facientes ad T’angencem angulos
  6. rectos,) TO, TO, _c quarum minima
  7. dicacur e; crum illa ad hnricem per
  8. DEOP. 23. uc numeri quadracici 13 43
  9. 9, 26, _C. & carum difterentiae uc
  10. 233, 5,7, _C. numeri impares dein.
  11. cepo ab unicace; (quarum difterenci.
  12. arum maxima erit 2n L.) Rceta Da-
  13. rallelarum illarum cerminos (in linea
  14. Parabolica constitucos) ConneeLeMLeS,
  15. (quae erene proprerea ipsi varabola
  16. deinceps in (cripcae,) crumnE V: a
  17. tr. V: a2 +0. V: a t25 ~ a x +9_C.
  18. (quippe gnarum quadeaca per 47 C1.
  19. aequancur quadracis cam parricula
  20. rum a quam differenciarum inter
  21. preximss qualque parallelas, hoc cAt,
  22. numerorum imparium.) Ouae qui-
  23. dem rectae (parabolae inleripiae) quo plures Fuerint, ed propius
  24. ad parabolica meN (UIEAI RCCCdEC CATUI OMNIUII aBBPEGATUMS
  25. ica camen ut ex omnibus sic apsresaca recta sic ipsa parabolica
  26. MinOr.
  27. Sin velic aliquis rectam jucta majorem (ut constet inero quos
  28. cancellos decerminare possic parabolica lonsicudinem;) neque
  29. disticilis eric haec inrestisacto, cangencium ope perticienda.
  30. Si vero curra AOO, non supponarur Parabola, (es parabo.
  31. Loides Cubicale, Biqu dricale, _c. Idem procellus e IE, Wuca
  32. eis mucandix, acque in Parabola Sumendae enim pro paralle.
  33. larum differenciis, non 1, 3,5, 7, _c. differenciae nMerOruI
  34. Ouadracicorunis led 1. 7, 19, 17, _c. diAErEMLIK ILIErOrM Cu.
  35. bicorum; vel F, 75, 65, 175, 8c. differentia numerorum BI
  36. quadraricorum: _c. prour Paroboloideos eiulq; natura PO-
  37. Aulec: adccq: inseripex erint V. a 2 + 1 V a = F a9 8c, vil
  38. V: a 2 F 2. V: a 2 F 225 8C. & lic deinccps. Ic CZ interius Era-
  39. dendis pr. 45. DaccBIE.
  40. Padem

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 29. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0241?run=74