Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 136

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: 0.76.

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

The machine reads it as

  1. 13
  2. FLOR LMONDL DE BEAUNE
  3. SuIPPONATUT y ∞ =, Crirque y B D X, _ y = B= D X 2, RCCNON y3 B3
  4. ∞ x3. Oua Ei in aequatione propolica substituantur, het 73 13-
  5. cB= y 2 = d by = b3∞0. Ac proinde li totum dixidatur per h.
  6. Orietur y3 - + y - ∞0.
  7. Manifectum aurem est, idem nOS OBEeNEUTOS, Si in aequatione
  8. propolita subrogemusr, quadratum ejus rr, a iplius cubum 13.
  9. in locum x, quadrati x, e cubix 3, atque lic deinde secundum
  10. terminum diridamus perh, certium per hh, ee quartum per B3:
  11. quoniam in superiori operatione, ubihh in secundotermino, de B
  12. in certio reperitur, perspicuum elt, quod, ad diridendum omnes
  13. terminos per h3, auterendo tories h, quoties in ipsis reperitur,
  14. opus cancum sic diridere reliquum sccunditermini per h, reli-
  15. quum certii per hh, ipsum autem quartum terminum per hs, quip-
  16. pe qui quancitarem h non comprehendic. Dimminouthaec Cieo-
  17. MeETIa reGUITIE.
  18. Juia vero aequationis hujus sic productae termini lingulinon
  19. que mulcas habene liceras leu dienliones; ISICUF NE aquales
  20. numero reddantur, oportebit in illis, qui pauciores dimenliones
  21. habent quam requiritur, coties liceram aliquam lubincelligere,
  22. quoties erit opus, quae lineam prounitate ad libitum sumptam
  23. delignet, e cujus ratione suppoluimus y ∞= vel pocius benet.
  24. ciohujus linea, quam prounitate assumplimus, de linearum co-
  25. onitarum, efficere, ut linguli xquationis termini eres liceras seu
  26. dimentiones habeant. Id quod facile elt. Ftenim cognica, r. 8. linca
  27. Prounitate accepta, postumus ad eandem denocandam loco
  28. lumere p. atque ita de caeteris. Adcd uc, cognita radice y, ejul.
  29. de uMITaEIS OpC COBnOLCAEUIF quOquON, per aequationem hane
  30. y∞ =. vel y B ∞X.
  31. Nec aliter in numeris reritatem hujus Geometrixe Mechodi
  32. Oltendemus. Proponatur enim eadem Xquatio, quX (UPTa, X3
  33. Cx 2 d d x = b3 ∞ O, ei oporceat radicem incognitamx diri-
  34. dere per 3. Suppolitaisitur y ∞=, hiet 3y ∞ _, et 9 yy ∞ X2, neC
  35. nOn 27 73∞ X3. Ouae S Substicuantur in equatione propolica,
  36. habebitur 2773 - 9cyy- F3 d d y - b ∞0. Ac proinde diridendo
  37. EOTUM
  38. totun
  39. 2C
  40. D
  41. tI
  42. 9y2
  43. COne
  44. denul
  45. 1
  46. 1d
  47. Qi
  48. LdeIMI
  49. beron
  50. (Iad. 1
  51. dembulla
  52. Moabult
  53. d aGa
  54. e
  55. y, d0. L
  56. bno
  57. dratum
  58. H ss
  59. Ei peconter

Cite

[Ps. 1], fol. 136. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0158?run=74