Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 131

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. M L, Cpt
  2. Mjor quanu
  3. quam.
  4. AD iasere
  5. e Masaoe
  6. 115d ft
  7. (0e
  8. 11+ 8
  9. lecundu
  10. dem illa 2
  11. modo que
  12. iitab
  13. Inde ap
  14. DIII, e1
  15. icuLne
  16. ipsi-
  17. verad
  18. temper e
  19. ouo hil
  20. 13 10CO
  21. ILnOn pO
  22. 1
  23. A _ u A Y E O N U M.
  24. Prop. 2. X 4 X , L WWX X - n3 X - pt ∞O.
  25. Per transpolicionem habebimus xt - n3 ∞ ∞ p+ =m m ~ X. IIN-
  26. de constat, six aequalis suerit ipsin, Fore etians x X ∞
  27. eAt, X ∞ V
  28. pE
  29. mn; hoc
  30. ;e (IFueriEN D V-
  31. tunc radiceM
  32. aequationis fore aequalem cuilibet horum terminorum; de si iri-
  33. aequales tuerine, tunc eam necellario futuram inter holce duos.
  34. n2
  35. Idem demonstrabitur de duobus reliquis p etm; nempe situe-
  36. rint aquales, radix ae quationis propoliex a quabitur unicuique il-
  37. lorum duorum; lin inxquales, neceltario constituetur inter duos,
  38. tran(potita Scilicet aequatione in hunc modum Xt = p+ ∞ n3 X -
  39. IH M XX.
  40. Prop. 3. X 4 X MM X N - V3 X - p+ ∞ O.
  41. Pereran (pOsItIOne CHIEX = =M M X ~ ∞ n3 X L pF, id eogue X ~
  42. majus quammm, ee x major quamm, de mx3 majus quaim mmX X.
  43. Sed est eriam x+ =n3 X ∞ mm ∞ X F p, ideoque xs major quam
  44. n3, ec x major quamn, _ n x3 majus quam n3x. Fodem modo est
  45. X+ = p+ ∞ MMXX - L n3 X, _ Conseguenter x+ ajuS quam p+, de X
  46. major quam p, ee p.x3 majus quampt. Acqui per transpolitionem
  47. eAt quoque m M X X L n3 X L p+ ∞∞ XF. QUaTC M ∞3- L n ∞3. L P X3
  48. majus erit quam xt, _ m. Ln. L p major quam x. Consimilira-
  49. tione demonstrabitur, quod m mXx L BnXX L PP X N ajuS. CrIE
  50. quam xt, ee consequenter mm. Lnn- L pp majus quam x x. IN-
  51. renimus erso, quod radix x propolitae requationis major eA
  52. quamM, 11, _ P, at minor quam m. + n L p, e V mm L nn. L pP.
  53. Prop. 4. X + X f MM X X - L n3 N p+ ∞0.
  54. Pertransposrionem est x + Lmm ~ x ~ P + -- ne x, ideoque
  55. n3
  56. majus quam X. Similirer est v7 L n3 X ∞ P F = MM N N AC PeF COn-
  57. sequens

Cite

Ps. 2, fol. 131. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0155?run=74