Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 354

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. A PPE NDTZE. DE C UBTC ARUM
  2. L R O B L F M A.
  3. in sericirculo sapra mnum A D descripto quadrila-
  4. terokBCD, demta sint tria ejus latera AB, BC, e C. D:
  5. Oporteatque in venire diametrum (eu quarium latus AD.
  6. ElD AB ∞ a, B C ∞b, C D ∞6, diaetCF VerO A D ∞ X; du-
  7. cacurque recta BD, acque in B C productam perpendicularis
  8. dCMIEFAEUEDP
  9. per 3. Ouia itaque triangulum A B D est rectangulum, ideoque
  10. terrii Elem. = QuadraTuM A D X quale duobus quadratis AB, B D: S1 d qua-
  11. per 47
  12. deato AD ∞ a x subducatur quadratum AP ∞ aa, relinquetur
  13. primi Elem.
  14. quadratum BD ∞ x x = aa. Porro quoniam obculansulum eA
  15. per 12 se- triangulum BD C, at que 3quadratum B D majus quadratis BC,
  16. cunai Elem. C. D Cimul sumpris, duplo rectansulo B C F; (i d quadrato BD D
  17. N x -a a subducamus agcregatum quadratorum BC, C D ∞ bb
  18. Fcc, reltabie duplumre.
  19. ctanoulum BC F D X V -
  20. a a -- b b = c c. Denique
  21. cum Cumilia sine criangula
  22. ABD _EC F D, Ciquidem
  23. ipla rectangula sunE, ac an.
  24. SUIOS PTRTETCA AQDCF
  25. aequales habent: erit ut
  26. D A ad A B, ita DC ad
  27. CF. Unde cum A D Sit ∞ _, AB ∞ a e D C ∞C: CrIEC F ∞ =
  28. Oux si ducatur in duplam B C ∞ =b, fiet duplum rectangulum
  29. a bc
  30. BCF∞ -.. Aquandum propterea duple rectanguloB CF
  31. ANEC iNVeNEO D X X = a a -- bb = c6. Ouarc
  32. 1b0
  33. ae quabitur
  34. Xx - a a - bb - cc. TIOc eA ordinata aequalitate, crit
  35. ∞3. ∞ a a X 2 a b6.
  36. -bb
  37. C6
  38. + per 22
  39. terrii ee 13
  40. primi le.
  41. nde cum hxc aegnatio sit cubica secunda tormulae, vigen.
  42. dum deinceps an quadratum lemistis ultimi termini sIE imajus Cu-
  43. bocrientis quancicaris cogniex penulcimi, an rero ipli aequale, an

Cite

[Ps. 1], fol. 354. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0376?run=74