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Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 48r

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: 0.90.

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

The machine reads it as

  1. 21 Jumi
  2. Demonstratio pure Analybica
  3. Quod minus in
  4. minus
  5. mas, facit plus:
  6. Situa posit. + X = b
  7. duom
  8. 1 In.... + f
  9. as
  10. =CX
  11. + fx - bf
  12. Ajo esse aequalebf.
  13. propositio I
  14. ima
  15. posita X aequ. b.
  16. ajo esse 6 aequ.+B + bc.
  17. Demonstratio:
  18. Nam quia X aequ, b. erit X = b aequ. 0. ergo X - b in
  19. saequale
  20. f - c dabit a. (quia si nihilo ducatur in quidvis, productum
  21. erit nihilo aequale). Ergo Est autem X - b in f-c idem
  22. quod
  23. X = cX = b f. O, ut ostendimus; ergo fiet
  24. + fX - cX - bf. O, aequ. 0.
  25. seu quod idem est fiet
  26. aequ. Cx + b f - fX. Nursus quia X aequ. b Bursus quia
  27. bfiet.. fX, aequ. B +bf
  28. hinc
  29. d aqes bes
  30. item...
  31. item fiet .. .. +bC aequ. +CX
  32. Ergo aequalibus addendo aequalia fiet + fX + bc aequ. CX + b)
  33. paule ante
  34. Ergo + bC aequ. +Cx + b f - fX. sed supra. O erat
  35. etiam wqu. +CX + bf - fX. ergo erit aequ. +bc
  36. quod in emae demonstrandum proponebatur

Cite

Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 48r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00069349:0095?run=74