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Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 2v

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: 0.93.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 1r); this page is its left half.

The machine reads it as

  1. sit - a = f. Jam f- f = 0 (per 3)
  2. ergo pro f ponendo aequale ipsi
  3. (ex hye) - a fiet - a - - a = 0. G. ED
  4. (18) TSeor. - - a = 4 a
  5. Nam - a = - a = 0 (per 17)
  6. et 0 = - a + a (per 11) Ergo (per 5)
  7. - a - - a = - a + a Unde utrobique
  8. addendo a fient (per 10) aequalia
  9. + a - a - - a = - a + a + a. Et Min de
  10. (per 1) 0 - - a = 0 + a seu (per 9)
  11. - = a = + a G. Ei. D
  12. (19). Theor. - + a = - a aut + - a = - a
  13. Patet ex 8.
  14. (20) Icor. In omni aequatione livet
  15. nembrum abjivere ab una parte
  16. et signo contrario affertum ponere
  17. in altera.
  18. it f+ a - b = h. divo fore
  19. f= h - a + b. Nam in aequatione
  20. (ex hypot1. vera) f+ a - b = h adda-
  21. tur utrobique- a + b, fiet inde
  22. f.+ a - b - a + b - 3 - a + b, cd est
  23. per 1) f = h - a + b _. E: D.
  24. 21) Explic. Guod de formula sub
  25. vincuto comprehenra signifieatur,
  26. intelligendum eet, de singulis men-
  27. bnc vinculo conclusis ut )-(+ a - b)
  28. Nam f + (a = b) = f+ a + - b =
  29. vel - ta - b signifieat - (+ a) - (- b) seu (per 8) - a - - b idest (per 18) atb. erd tatis + a + b = +m.
  30. (22) Teor. Addenda ascribuntur
  31. signis retentis, seu f + (a - b) =
  32. (per 21) f + a - b
  33. (per 19) f+ a - b
  34. (23) Subtra-
  35. + (2a) - (-a) = 0 per . .. ergo (per

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068010:0004?run=73