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Leibniz-Handschriften zur Mathematik LH 35, 4, 12, fol. 8v

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: 0.86.

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. 7r); this page is its left half.

The machine reads it as

  1. 3 XXVI. - d. b = - ab
  2. Demonsa. - a cb L - Cax. 9) 1. a b = (6iprific.) 2t. ab = sep. 9) - ab
  3. XXVII. (a (- b) = ab
  4. Demonstr (a ) 6) -a Cb B 0 = - - a 0 (ap. 6. 7) = = a (b- b)
  5. = (ax (0) (- a)6q (=a) (b) = (pro p. 26) - ab + (- a) (= b) Donc 0 =
  6. - ab F (- a) (- b)
  7. n XXVI. S’il y a a - b = 0, il y aura a = b
  8. Demonst. puisqu il ga a - b =0 (tapposition) il q aura ( o 4)
  9. a-b + b = 0+ b = (ax. 5) b. Denc a -b +b (F b = a - b + b = ( p 9)
  10. a + b - b = (ax. 4) a.
  11. XXVII Silga il us aura a - b
  12. demonstr. car (ax. 4.) a - a = b - b. Donc (ax. 1) a a - b a
  13. R - b = b - b = (ax. 4)0. Donc a - b = 0 et par ( par consequent (26) a = b
  14. n XXVH S il y a C a = C as = 1 il yaura a = b
  15. XXVII. E it y a a = b il y aura = b = a (ap. 2. 5)
  16. Demonstr +a a Aa = (ap. 45) a = (sppo s.) b = b + b -b
  17. +b - b - a = (ap. 4. 5) - a =
  18. XX VII 5’illy a Z - 1 il y a a = b
  19. domonstr 4 = 1 =
  20. E_ dnc fb = 1 .b (. donre (2.) a-

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 12, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068009:0016?run=73