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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 10r

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: 0.83.

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. 11v); this page is its right half.

The machine reads it as

  1. (10)
  2. (11)
  3. (12) Ponatur
  4. (13) et ex Aeg. (11) fiet.
  5. (1) (1) Num 2.
  6. (2). .. 1I
  7. 3).... 11I
  8. 4) summa Abanerorum
  9. resMimeros reperire, quorum summa Quadratus
  10. et summa quadratorum, quadrato quadratus.
  11. ab Ejus atum ataub
  12. aC Ejus ttum acC
  13. X = ab -dC. Ejus Btum: X 2- 2X ab - 2 X ac + a b 2 a bc + a
  14. X
  15. () uomma Quadratorm: X - 2ab X +2a b +2abc
  16. (6) aequalis quadrato) vadrato
  17. = 2ac.. aac
  18. Da X F e nempe X + 4X e + 6X e + 4X e + e
  19. (7) Unde aequatio per 5. 6.
  20. (8) Ponatur
  21. + 4X + 2 ab X +6X2e+4eX + e 2a b = 2a c- 2abc 0
  22. + 2 ac .
  23. Unde
  24. Ff +X C A+2ab X ppo sive b B F X0X - C, et 28b de X + 8 exac 1 ac
  25. + 2ac
  26. et nabe e F 2 ecax + 2 ac. Ques valores in Aequatione (3) substituendo, fiet
  27. (+6X e + 4e. X + et 3a7
  28. - 8)... ( Beac)..
  29. -2... 72aC9)..
  30. 4 beal
  31. 2a
  32. a2ac0)
  33. separetur haec aequatio in duas, nempe, num (10) et (1)
  34. 10.
  35. = 4e X + et 10 Unde X NF
  36. -2X e f6eacX - 2ac7 0.
  37. a Y X, et a p n X
  38. +x. 2xe fbenxc. inx
  39. c
  40. Dividatur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 10r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0019?run=74