Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 151

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: 0.74.

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

The machine reads it as

  1. 21F Du
  2. 14 n. De
  3. minor quim
  4. I
  5. TX, CHLNXN
  6. c elte ne
  7. cum est lpp
  8. cndicem
  9. tC
  10. ND0.
  11. hicur x FOreI
  12. Majoremq
  13. pt ∞0.
  14. lx
  15. +
  16. quam1.
  17. IEWMIXX.
  18. tiam rela
  19. ∞x.
  20. 2ju5
  21. suerit:
  22. e
  23. x +P
  24. nIX, hoc
  25. A Q U A Y L O N U H.
  26. FSF
  27. Duare in hoc colu erie x major quam n, et minor qudm
  28. C. mmpB + p
  29. vel major quam p, quandoquidem de tunc mmxx- L pr minus est
  30. qua lX3, exit quoquemmpp. pF minus quam l X3, _C X MajOF
  31. quam V C. mmpp + P+
  32. major quam V C. mmPB + p+
  33. Ouodhrerox minortuerit quam
  34. n, ee ipla etiam minor (IE quain P, quona _E TUNC M M XX L p+
  35. inOF CA quam l~3; Crit quoque mMXN-L pP X x minus quain
  36. l∞3, e mm +BC
  37. Mm. + p∞
  38. radicem aequationis proposux necesario esse inter maximum et
  39. minimum erium terminorum n,
  40. mm. + BP et V C. mmPD. + pr
  41. Prop. I5. X + = IX3 - MMN X 1 B3 X p+ ∞O.
  42. Pertranlpolitionem eAtx+ -( IX3 = Mm ~x ∞ p+ - n3 ~; ideo-
  43. que litueriex+ L Ix3 =mm x x ∞0, seu, dirisis omnibusterini-
  44. HIS PEF NX, X X. L lX -MM ∞ O; CrIt quOque p+ - n3 X ∞ O,
  45. hoc elt, si CAx x ∞ = - lX- mm, vel x ∞ - = 1 L V = II. L m M,
  46. exicp= ∞n3x, Ceux ∞ =. CIndc patEL, Gi == eA ae quale ip (1 - , 1- L
  47. V=II. +mm; radicem aequationis propolicae esse equalem sin-
  48. 3dc = l. V = bI F mm. Ouod (I
  49. Tuerit Xt-L IX3 majus quam mm x x, hoc CA, XX L lx ajuS
  50. qua m m, erit quoque pt majus quam n3 X, hoc est, majus quam
  51. X. RC proinde cum xx- L lx majus sIE quam mm, Crit Xx L IX MTajuS
  52. quam mm aliqua quancitate. Ouantitas aurem haec, licet (ic inc09-
  53. HIta, VOCeTUTZZ ericque xx L Ixxmm. 1 22 seuxN∞ Ix L Mm 1 77.
  54. hoc est, ∞ ∞ = = 1. L V = II. L mm + 7Z, ideoque x major quam
  55. =l.L V = II. FMm. Ergo in hoc CalU X IInOFerIE quam., e
  56. major quam = = l. f V = II . L mm. Ouod Situerie xt - L- l ∞3 mi-
  57. MIIS

Cite

Ps. 2, fol. 151. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0175?run=74