Search the Nachlass

LBr. 258 · Fardella, fol. 231v

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: 0.90.

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

The machine reads it as

  1. combinationes, seu per solas X, y, 2, (3 e sic a b = X y - 32. Itaque
  2. licet centum essent literd, a, b, c, d, e, et nihilominus omnia eaium
  3. producta habentia hanc formam a b simul sunta aequabantur facto
  4. ex summa singularum, in summam binionum duita (Xy) a quo
  5. detractum sit triplum summae ternionum (37) Usus sunt innumeri
  6. in toto calculo. Ut autem appareat quonodo haec sabula ope carcali
  7. obtineri possit initiem dato. Sulchra autem inter proghediendum
  8. operandi compendia nascuntur: pro X adhiberi sufficit literas 2 pro
  9. Xliteras 3 et ita porro. Luod enim sic invenitur sufficit pro
  10. literis quotcunque:
  11. X = a + 2 ab + bb = aa + 2y
  12. Ergo fit a = X - 2y
  13. X = a + 3ab+ 3ab + b + 3aC + 3bC + 6abc + 3aC + 3be+C
  14. 2
  15. e seu X = a + 3ab + 67.
  16. Ergo debet inveniri ab
  17. a b = ab
  18. in a + ac in a. + bc in b. Nam ab in a est a b +ab et ita
  19. habc = ab inc + ac in b + bc in a
  20. abr ab inx + ac in X + bc in X = ab in X =Xy
  21. Ergo
  22. a b + 37 = Xy seu ab = Xy -32
  23. ac
  24. decaeteris
  25. Luo valre iptius a b substituto in aeq. X = a +3 a b + 67
  26. A
  27. siet X = a + 3Xy - 9Z + 6Z hoc est denun a = X -2Xy + 3Z
  28. ut in sabula.

Cite

LBr. 258 · Fardella, fol. 231v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 82). https://leibnizlegible.com/page/DE-611-HS-971120:0468?run=82