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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 4v

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: 0.74.

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. 5r); this page is its left half.

The machine reads it as

  1. (1)
  2. + X X qX + r X + s aequ. 0
  3. =X _ +4yX - 4ZX 82y aequ. 0.
  4. fier ex aequ. 1. et 2. per 4 et 5.
  5. Za
  6. y X
  7. y- 4XZy + 4Z Y F2X Z - M aequ. 0.
  8. sit ZEqu =. et l aqu. - s.
  9. 1 + + a X y - 2y + qX aequ. 0
  10. et ex aequ. 3. fiet per aqu. 4: yt - () + r X + F y - M aqu. 0.
  11. In aequ. 7. reperiuntur y V. X. y.... quae produci possunt.
  12. Vp . 339. 3.Y. et 7 per 9, 0 y. 8. X, 0 X, . Y.0
  13. prd Mulliplicandi Xy. . X X. X. X. X. Et
  14. Ny. y. X.
  15. DXI. x. X....
  16. V. produci non potest nisi multplicando y in O per yt. ergo et reliqua. itaque accipiemus in producto
  17. form terminos Xs. X. Qui rursus producuntur Etiam tolendo. jam pducit
  18. X, per X y), per Xy...0 X A X V, y. Xy, s. X, g. Xy, Xy XXy.
  19. Ergo multipliari debent sed X rpotes produci ex aequatione 1 per y mullius
  20. plicata, nec ex aequ. quia sunc etiam prodiret
  21. et X Y per X3,..o Xy, y. 6, y XXgt
  22. Fiat multiplicataio ipsa generalissima.
  23. Xy
  24. 13
  25. 27 17
  26. Y
  27. et
  28. 1
  29. xi
  30. c
  31. Hinc patet ut tolleretur Yi
  32. ) per regp otulat (123) (pet X G o B. (+), vet Xbyno
  33. vns possimus muttiplecationem
  34. sola efficit, ut major sit numerus sarbitrariorum quim de termuntum
  35. sed hoc modo jam video rem non procedere fit etiam etiam ne
  36. Nan
  37. satius ergo non tam adhibere aequ. 6. factam ex compositis
  38. so (2). Et posito semet (2) quia ipsum prodacet etiam X est. Lins ut hottatur X y. indisnus etiam so (2)
  39. e
  40. componere ut prest multiplicationem ut pro a cortrio ex plicare
  41. Imo desunt nobis arbitrariae. Tollendi enim sunt termini 24. et
  42. arbitiariae sunt tantum 18. Quare non videtur posse negligi ltera Z. quae cerminos

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0008?run=74