Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 163

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. ex quib
  2. CLDO
  3. dae tore
  4. se in i
  5. endis sq
  6. rODuIDC
  7. cmino
  8. ilL
  9. der
  10. uE, Luvili
  11. do
  12. quodum
  13. aliismo
  14. ex illise
  15. Qua set
  16. erte
  17. C, ed est
  18. es aUgC
  19. maximo
  20. omnes
  21. ndu
  22. qued
  23. DI
  24. A
  25. 1
  26. locatu
  27. 1IM U
  28. e
  29. COMMENTAREE EN LIBRUM I.
  30. 163
  31. Eritque reliqua P ML aequalis y, radici quaesita: Ita ut frat Y
  32. ∞ - = a +. V = a a bb.) Veriim aequatioy y ∞ = a 7- L bb
  33. admiceir adhuc aliam radicem, minorem quam nihil, quae per li-
  34. neam OM delignataita exprimitur, Y ∞ = = a - V = a a F bb.
  35. Cujus demonstracio ad exemplar praecedentis tieri potest.
  36. Nec aliter fit, si proponatur X + ∞ = a X X L bb, P MI M
  37. enim esset XX, e haberetur X ∞ V = = a + V = a a + b b.
  38. Duonia enim x + ∞ = a x x F bb, cransterendo = a x x in al-
  39. teram aequationis partem, eriex F F ax x ∞ b b. d addica utrique
  40. Parti f =aa, Proveniet x + L a x x + = a a ∞ = a a- f b b. Tam vero
  41. extracta utrobique radice, invenietur Xx L Z a ∞ V = a a L b b.
  42. ac proinde tronsponendo. L= a, ut x x unam constituat xquatio-
  43. nIS PaKtEII, CTIEXN∞ = = a. L V =a a F bb. UInde extractâ ruI-
  44. Sus uerinque radice, tiet X D V = = a L V = a a + bb.
  45. Eodem modo lihabeatur Z + ∞ a Z7 F bb, exit
  46. DV: at V : a a F bb. Nam Cum Z + ∞ a Z = L bb, erit Per
  47. cranspolitionem Z+ = aZ 00 bb. Addatur jam utrinque aa,
  48. Fetque Z+ = a Z 2- F = a a ∞ = a a + bb. CInde, extraCta VETO-
  49. biqueradice, prodibit Z . - = a ∞ V = aa F bb. hoc est,
  50. (∞: an) V = aa F bb, e per consequens
  51. DV: a L V + a a F bb.
  52. Similicer (1 (IE Z+ 2 a
  53. 2 -bb, erieZ ∞ V = a- V = a a =- bb,
  54. necnOn Z ∞ V = a = V = a a = b b. Cum enim Z+ aGuCEuF
  55. aZ = bb, e pertranspolitionem Z+ = aZ 2 ∞ = bb; addatur u-
  56. erinque = a, tietque Z + - aZ 2 + = a ∞ = aa - b b. JUarC Cx -
  57. tracta urrobique radice, emerget Z - = a ∞ V = a a - bb, hoc
  58. ett, Z ∞ :a. V = aa - bb, ac per conlequens
  59. ∞V = a- L V = aa - bb. POrrO, quoniam radix ex Z+ = a 72
  60. F = 4 a eAt quoque = a - Z, hinc _ = a - Z D V = a a -- bb,
  61. hoc ett, Z.W : a - V = aa - bb, ac per con(equens
  62. DV = a - V = a 4 -- bb.
  63. X
  64. abl

Cite

[Ps. 1], fol. 163. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0185?run=74