Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 284

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: 0.87.

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

The machine reads it as

  1. C
  2. 284
  3. E R A N CFSCF a SCHOOT E N
  4. pare quoque detectum alicujus quanticaris, urpore d, hoc est.
  5. xxequari - d) producetur Aquatio
  6. X + =- a X 3 - a b X X = - 4 bc X - a b5 d ∞0. Oux dividi porest
  7. Lbc + ab d
  8. aC
  9. a d
  10. bcd
  11. acd
  12. DeFX = a DO, DEFX = b ∞ O, PeFX = C∞ O, _ Per X - L d ∞ 0, de
  13. non perx plus rel minus ullâ alià quantitate.
  14. Cujus divisionis ope dimensiones ejus in tantum diminuun.
  15. sur.) Sic diridendo aequationem pracedentem, quatuor dimen-
  16. sioneshabentem, Per x + d ∞0, orietur A:quatio
  17. X 3 a X N- + a b X = a b6 ∞ O. IN Qud INCOBHITA GUANEIEaSEreS
  18. m C
  19. L bc
  20. ac
  21. duncaxat dimentiones habet. Oua rursus dirisa per X- C3O, PFO.
  22. dibiexx; x. F ab ∞0, aquatio duarum dimentionum. (ux denuo
  23. perx = b ∞0 dirila exhibet x - a ∞0, aequationem simplicem.
  24. Ende perspicere licet, qua ratione, in qualibet Aquatione,
  25. pluresradices habence, quantitas cognita secundi termini, xqua-
  26. lis sic summae omnium radicum; de quantitas cognita tertii ter-
  27. mini, aequalis summa productorum ex lingulis binis; e quantitas
  28. coenita quartitermini, aequalis summae productorum ex lingulis
  29. TerNIS, AEQUCITA POTTO; ac vero quancitas cognita ultimi termini
  30. sire iple ulcimus terminus, aequalis producto ex omnibus.
  31. Sic cum in aequatione x 3 =9 X X L 26 X = 2 4 ∞ O Eres (I
  32. eadices 2, 3, _ 4, quae delignantur per a, b, ec: erit earum lum-
  33. ma 9, quae denoratur per - a - b - c, aqualis --9, quantitaci
  34. cognitae secunditermini = 9 x x. Summa aurem productorum
  35. ex lingulis binis 26, qua denotatur per L a b F bc L a6, Xqua
  36. lis- F 26, quantitari cognica certiitermini f 26 x. Ec productum
  37. ex iplis tribus, 24, quod denoratur per - ab0, aegnalis - 24,
  38. quanticati cogniex ultimi termini, sire ipsi ultimo termino.
  39. Fodemmodo, Stuerit AEquatio caliS: X = = 4 X 3 = FOXX +
  40. 106∞ = +20 ∞0, Cujus radices (IIHE 2, 3, 4, e = 5, atque
  41. delienantur per - L a, + b, F c, d - d: disponatur ipsa, uE termI

Cite

[Ps. 1], fol. 284. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0306?run=74