Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 346

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: 0.85.

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

The machine reads it as

  1. DE COICENH AHDES
  2. Similicer, mulciplico C D. b + X
  3. per C D rel DC. b = X
  4. + bx L X X
  5. bb F bx
  6. Et tic quadratum ex C D, hoc est, HCDOFI. bb. F 2b X L XK.
  7. Cndetalis emersit aequatio
  8. aX F b X - F X ∞ ∞ b b F 2 b X F X X.
  9. Ad quam reducendam tollatur verinque bX _C X X,
  10. erieque ax ∞ bb L. b x. +
  11. Deinde transteratur bx ad alterum partem, ur incognitx quan-
  12. citates ab una _ cognita ab altera parre haDeanEuE,
  13. _E AE a X =- b X ∞ b b.
  14. Cujus utraque pars si dividatur per a = b,
  15. InrenICEUE X ∞
  16. . HIoc est, resoluca ae qualicate
  17. En proportionem, erie uea =b ad b, I2 b ad x.
  18. Id quod docet, ad producen-
  19. dam AB ulque ad D, qualisre
  20. quiritur, sumendam eAe C I ∞ -
  21. qualem C B, Ita uE AP SIE ∞ a -- b3
  22. ac deinde ad AI_ IC vel C B,
  23. hoc eA, dd a - b e b, esse inve-
  24. niendam zcium proportionalem
  25. BD
  26. Unde tale Formari poterit
  27. Elcorema, supponendo rectan-
  28. Sulum AD B quadvaTO CK C D
  29. aequale else.
  30. Si AB producatur ad D, ic2 uc rectanoulum ADB
  31. Sic aequale quadrato ex CD: erit A C major quam
  32. CB, _ excellus AI ad IC vel C B candem habebie
  33. rationem, quam CB ad BD.
  34. Cujus demonstratio eodem ordine procedic quo Analy sIS;
  35. Sequendonimirum ejuldem reltisia, hoc pacto:
  36. Cum
  37. in D
  38. X
  39. 1t
  40. pt

Cite

Ps. 2, fol. 346. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0370?run=74