Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 135

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: 0.77.

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

The machine reads it as

  1. Undecor
  2. de
  3. eritt
  4. 1b bHC2
  5. 0, lec
  6. labsticu
  7. X - hc
  8. ecam P
  9. Clnc
  10. eu
  11. Aicurd
  12. ideogul
  13. Mot
  14. NF O: U A X I O E W H.
  15. major quam l. Sed ee per transpolirionem est x 2 =i M X X D LX3
  16. p+, idcogne x IajOr quam m, _ m X3 ajuS Qua m M ∞ V. Si-
  17. militer pertranspolitionem estx+ -p+ ∞ l∞3 F mmx x, ideoque
  18. xmajor quam p, de px majus quam pr. Praterea per eranspoli-
  19. tionem propolicionis cst L~3 L mmxx F pr ∞ xF, ideoque l x3. L
  20. M X3 + P ∞3 MajuS QuaM XF, ee l. L M. L P MajUS QuAM X. OLaTC
  21. invenimus radicem x aequationis propolitae majorem esse quam
  22. l, m, e P, at minorem quam l. L m- L. p. Denique per transpoli-
  23. tionem elt x ∞ lx3 Lmm xx + pr, ideoque xt majus quain l ∞3 +
  24. mmxx, _ xx majus quam la L mm. Aequi demonstracum est (u-
  25. periusamajorem esle quam h ac proinde il minus quam lx. MuI-
  26. cdisitur masis xx majus erit quam II. L m m, ec x major quam
  27. VII. Lmm. Non distimiliratione demonstrabitur, quod x Ma-
  28. jor est quam VV 1 + p, VV m + P, _VV mmpP + P.
  29. Prop. 4. X t - - V ∞ 3 -] M M X ∞ X - p+ ∞ O.
  30. Pertranspolicionem est xr- L l X3 ∞ pr =mmx x, ideo que mm
  31. majuS quam XX, X majus quam v. Similiter est xr. L m M X X ∞
  32. p+ - l∞3, dC per consequens p major quam x, e PPX N IajuS
  33. quam xt, ec llpp majus quam lx3. Sed perrranspolitionem pro-
  34. polucionis elt etiam xt L l ∞3 + MM X X ∞ PF. JuacCPP XX L IP X X
  35. LMMXX majuS erit quam pr, e x x majus quat pp. Y Ip. L mmo de
  36. x major quam V
  37. pp. = Ip L mm. AL vero existente xt L l~3 1
  38. mm Xx ∞ pF, eric quoque pr majus quam lx3, ideoque, majus
  39. quam x3, e V C. majus quamv. Inventaigitur est radix X X-
  40. pa
  41. quationis proposica major quam V pp. F Ip. L mmi aeminor quam
  42. m. V C. , e P.
  43. Crop. 5. Xt mat X3MMX X 1.
  44. es transpolirionem eA mmxx L pr ∞ lx3 = v dCDsCIId

Cite

Ps. 2, fol. 135. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0159?run=74