Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 337

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: 0.82.

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

The machine reads it as

  1. GOMMENTAEEt EN LcoRanHII.
  2. 337
  3. Brericatis autem caus a rursus pro L b3 L 2 a ay F a ab lcriba
  4. EUE-L C3, _ -- e3 prO - - b3 = 2 a ay - a a b. Deinde, mulcipli-
  5. Cata ueraque aequalitatis parte per 2 a, seu (quod idem est), divilo
  6. ntriulque denominatore per 2 an hac mulciplicario per crucem
  7. ut tractiones eranescane, tietque cZ3 ( b73 = b0
  8. bbZ Z
  9. +. bb62 b3Z. 4a6Z a A bZ 6C3 = b e3 ∞ C3Z u b63
  10. bc6Z bbc6 bb6Z b36t AA6Z abc. Ze3
  11. Bc3. Poltea auferantur utrinque ae quales quancitates, de restitua-
  12. cur ralor quanticatis a sumpex e3, _ FE 523- f bZ3 -- bCZZ
  13. bbZZ f b3Z A AbZ = b3C- 2 A ACy A abCD C3Z bC3
  14. bc6Z bbC6- b3C 4bC -F b3Z- 2 a ayZ- aabZ0
  15. Denique deleris rursus uerobique aequalibus, de rerocatis quan-
  16. ciratibus in y ductis ad unam partem aequationis, reliquis vero ad
  17. alteram, insticuatur dirilio per Z L c, dE OriCEUF 2 A aY ∞CZZ
  18. 6CZ - = bZZ = 2b0Z + bc6 -- bbZ + bbc.
  19. Verum cum ee supra invencum tuerie cd d = c0d L b d d +
  20. 2bcd F bbd F bbc. F bcc ∞2a a p. e, quae eidem lunt xequalia, ca
  21. quoque inter se line aequalia, exitcZ
  22. Z - 6C
  23. -+ b7Z
  24. 2bcZ +
  25. b00 -- bbZ + bbc ∞ c d d - Lccd F b d d + 2 bc d + bb d + bbc
  26. f b56. Deleantur jam verinque aequalia, de quantitates in ZZ du-
  27. eta unam partem aequationis constituant, reliquae vero alteram,
  28. Fetque 6Z7 ∞ L c0Z. Y cdd. Deinde diridatur utrobique
  29. L
  30. 2bc + c6d
  31. L bb L bdd
  32. per c) b, ut Oriaeur
  33. ad unam partem:
  34. L 2bcd
  35. bb d
  36. D. f bZ. F d d, Cive cranclaris omnibus
  37. +6 ba
  38. Lcd
  39. =bZ - d d ∞0.
  40. 6 bd
  41. c
  42. Postquam igicur percurrimus data propolicionis, eaque sc
  43. enodarimus, ut difticultas omnis sic translata ad aequationem
  44. d d
  45. 22 -, 2. = b d ∞0, luperestur ostendamus eam quae sito pro-
  46. 165
  47. policionis lacistacere, quantum quidem ex suppolitis datis de-
  48. ducd

Cite

[Ps. 1], fol. 337. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0359?run=74