Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 358

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. APPEHDLX DE CUBLC A RHM
  2. Ouia itaque demissis ad hoc perpendicularibus BF, DR, in
  3. triangulo rectansulo ABI, quadratum ex A I∞ = xx subductum
  4. per 47 pri- a quadrato ex A B D aa, relinquit quadracum ex BI 2: erit qua
  5. miElem. dratum ex B ID a a = = X N.
  6. Fodem modo, in triangulo rectangulo C DK, quadrato ex
  7. CK ∞ = b b subducto d quadrato ex C D D aa, relinguetuFAA-
  8. =bb, Pro quadrato ex DR.
  9. Porro quoniam, propcer limilicudinem triangulorum ABI d
  10. per 4Sexri AD K , AI est ad IB, LICUL A I ad RD: erit quoque ut L X
  11. eteriso
  12. Quad. Cx AL, ad a a - = X X, Quad. ex IB; SIC X N F b ~ + = bb,
  13. quad. Cx AR, ad a a -- = bb, quad. Cx R D. UInde mulciplicando
  14. extrema, inrenietur produetum = a a X X - 1 b b x X X qualE AAXV
  15. a a b X F = a a b b = = ∞ = = = b x 3 = = b b x x, producto sub
  16. mediis. Iloc est, demptis uerinque aqualibus, de terminis omni.
  17. busper 4 ductis, si ipsi deinde ad unam partem transferantur, ho
  18. bebituF~ + F b ∞ 3 =3a AX X = = a ab x - a abb ∞ 0. Oux suM-
  19. ina Si DOrrO per x L b ∞0 diridatur, obtinebitur a quatiOx 3
  20. aa X = a a b ∞ O, Teu x 3∞ X +- 3 a a X. a a b. Cadem nempe
  21. quae superior pag. 350, in qua cubus crientis quantitatis cogniex
  22. penulcimi cermini exce dic quadratum semissis uleimi termini, cu.
  23. jusque aequationis rera radix illic per rectam FL, hic aurem per
  24. rectam AC delignatur.
  25. per 5 pri. Caeterum quod angulus secundi crianguli DC F, qui est ad
  26. miElem. balin, criplus lic anguli A, qui est ad balin primi, ita patet: A. qua-
  27. per 32 les enim sunt anguli A e BC A 3, propter aequalia crura AB,
  28. primi Elem. BC.; ec ob id + externus C B D alcerurrius hujus duplus. FA
  29. per 5 pri-
  30. mi Flem.
  31. per 32
  32. aurem hic C B D aequalis ipsiC DB 5, propter aequalitatem li
  33. nearum C B, C D. Ouare _ C DB, id est, C D A ipsius A du-
  34. erimi Elem. Plus est. Atqui binis hisce A _ C D A aqualis est externus
  35. DCF

Cite

[Ps. 1], fol. 358. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0380?run=74