Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 423

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: 0.75.

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

The machine reads it as

  1. dec
  2. ueng
  3. ene
  4. 113,4
  5. rumum
  6. X alcera im
  7. eationet
  8. EC
  9. plari
  10. EGTIHHII
  11. 0
  12. nca
  13. i
  14. aque
  15. DE REDUCETONE AOLUATTONUM. 423
  16. auatur ubique in locum iplius d3 secundae aequarionis: inrenie
  17. Eurque
  18. d+ ∞ ad3 L abdd a a b d
  19. Peu
  20. a a d d a ab d = 43 b
  21. a a b d- ab d d
  22. Hloc est, aabb = a 3b ab d d = bb d d ∞0
  23. de d d ∞
  24. a3b - a abb
  25. 2ab - 66 Ceu aa; e d ∞ an Peu d -- a ∞ 0.
  26. Si jam hujus d d valor substicuatur in ipsius locum in + ma xequa-
  27. tione, habebitur a a d - a3 = ab d L a a b ∞0.
  28. Denique Substituatur iplius d ralor a in ejus locum in hac ulti-
  29. mas obcincbitur a 3- 4 3= a ab a ab ∞ 0.
  30. In hac isicur cum termini omnes se mutuo destruane, indicio est
  31. eam aequationem d3 = a d d - 2 a b d - - 2 a a b ∞ 0 quam
  32. A+ X bb d d F f a ab b ∞ 0 esse dirilibileim per d - a ∞ 0, e
  33. aa
  34. d a ueriu sque maximum communem dirilorem existere. AC-
  35. que adeo, cum dux Propolicae aquationes (vel quantitates) prius
  36. perslinc dirila, manifectum est earundem maximum communem
  37. diriloremtore d = a inc, Peu dC - ac,
  38. Ouodliaurem aliam liceram quam d ceu incognitam quantita-
  39. cem consideremus, licebic similicerillius opc eoldem lemper di-
  40. viloresinvenire. Exempligraciâ, si aucincognita quantitas con-
  41. ideretur, obtinebitur pro
  42. 2da Ag.
  43. bbda. F a +
  44. bb- d4 ∞ 0.
  45. vel a a ∞00, leu a ∞ d.
  46. Subrosetur jam d d ralor iptius aa, per 2dam aequationem inven.-
  47. us in locurena pnta aequationis, ee inrenietur proixla
  48. d da-
  49. a
  50. 530.
  51. Aa=
  52. a AC.
  53. d a
  54. eo
  55. BAHO

Cite

[Ps. 1], fol. 423. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0445?run=74