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Leibniz-Handschriften zur Mathematik LH 35, 3 B 3, fol. 12v

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: 0.80.

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. 13r); this page is its left half.

The machine reads it as

  1. Generaliter a+ b = m+ 20 erit m = a + b - 2ab et O = ab seu arb- 2ab + atboab
  2. a + b +C = a b 2 ab + a + b -2ab + c = ab + a + b - 2ab. + C - d C (atb. 2a1) + 2F (a1 b. 2.1)
  3. seu arbtC = 2ab + a+ b -2ab. + C = 2 (a +b. 2ab) C seu is rab + a - 2ab + qubc
  4. Eatbu rab)C
  5. a+b+ = 2ab
  6. 2ato rabre. 3 sarbcrabi) 1)
  7. a+b +C+d F rab . a - 2ab + 4 abc = 8abcd
  8. 4 abe
  9. +gabcd
  10. C .bc
  11. 4 a +b - 2ab +C = 2 ( +b - 2ab) C + d - 2 (atb. rab+ C - (C rb - 2ab) e)
  12. d 2 (a tb - 2ab)c
  13. tet
  14. Ubi illud oritur pulchrum Theorema, si sint quantitates
  15. quotcunque a, b, c, d, et quarum quaelibet non significet
  16. si
  17. seu nunquam assurgat ultra 1
  18. nisi ovel 1, tunc a - 2ab + gabc -9 abcd et etiam
  19. non significare nisi vel o vel l seu nunqo un assu
  20. non assugere ultra
  21. si pro a, b, c, dsa et. substituas ab ac ad bcod cd
  22. erum biniones em seu pro a ab +c substituas ab + ac + bc, erolo
  23. biniones erunt 3abc, quia aa = a, cn ita ru caeteris
  24. Et termes etiam abc
  25. si pro a a, b, c deit substiturs ab, ac, ad, bc, bd, cd, erunt
  26. rmi biniones habe timines abc HIbcd quidonmes 15 abcd smones abed
  27. 1 6 15.
  28. ald
  29. 3 abed
  30. sit ab 3ab. + 46 abcd
  31. ad
  32. ba
  33. acq
  34. Deu
  35. una 6mo abed
  36. intro a ab abc abid
  37. 1,5
  38. 43
  39. 1
  40. 11 1
  41. 3 610 15
  42. 10 20
  43. 5
  44. 23= 161

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 3, fol. 12v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068253:0024?run=74