Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 376

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: 0.89.

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

The machine reads it as

  1. DE CON CLNHANDES
  2. Flinc existente bb x a X X = ayy = CCX = a a X
  3. X
  4. Si in locum ay
  5. Substicuatur ex de rice rersa: habebitur bb =X- ex) F ca) - aav
  6. DADC FGDB DABC
  7. id est, bb∞ax =cy; Seu, quod eodem recidit, cy + bb ∞ A X
  8. Ommino uc in antecedenti Theoremate. Unde Facile elt, cooni-
  9. EIS AB, BC, AD, e D C, invenire BD.
  10. Ouod si autem, existente bb D A X = Cy, PrO x Scribaeur
  11. tiet bb ∞ -- = cy vel b bc ∞ a ay - c07. id est, diridendo
  12. C
  13. Utrinque Per A4 = 66, erit a a = c0 y. Vel, resolvendo X qua-
  14. GAB--LAD EBD AD DC
  15. litatem in proportionem, erie uE a 4- c6 2d bb, itac ad y. Simi-
  16. CCX
  17. liter, ( Proy Scribatur erit bb ∞ a x - - vel bb a D AAX- CCH.
  18. bba
  19. id est, diridendo utrinque per a a - 66, etie a a - c ∞ v. Vel,
  20. AAB= HAD
  21. resolrendo aequalitacem in proportionem, eric uEaa -5c ad
  22. VIBD AB BC
  23. bb, ita a ad x. Ouae quidem insuper ostendune, quo pacto ex
  24. eribus laceribus al ABD inreniri possint BC e DC.
  25. Atque ita constat, si ad praecedentis Theorematis in vestica-
  26. tionem duntaxat adhibeantur 26 es 47 Propositiones primi
  27. libri Fuclidis, qua ratione ex calculo non modo idem Theorema
  28. emanet, verum etiam Propositio 22 15 23 secundi libri, 3tia
  29. sextr, aliaque proposiiones, in Fuclide non extantes, quae trian-
  30. culum concernunt, cujus angulus bifariam est divisus.
  31. Caterum calculum hunc mulio prolixiorem esse calculo an-
  32. recedentis Theorematis nemini (ut opinor) mirum videri de-
  33. bet, cum ad illud indacandum supposuerimus Theorema, quod
  34. ei immediate praecedit, tum etiam Prop. 22 aut 23 secundi:
  35. signidem rationes, quae in iis comprobandis cunctae ac singula
  36. sunt perpendenda, illis sic jam prae suppositis omnino praetermit-
  37. Euntur; qua alioquin, si rem ipsam penitius inspicere atque a
  38. prim

Cite

Ps. 2, fol. 376. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0400?run=74