Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Ps. 2, fol. 123

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: 0.78.

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

The machine reads it as

  1. rerconte
  2. +lL DMI
  3. indemum
  4. OM X +
  5. o seoe
  6. a yta
  7. Men (1.
  8. 1, eriie
  9. AOPeTI
  10. TIEMIIX.
  11. a 1I BIa
  12. propol
  13. eriique
  14. oinden
  15. ionis B
  16. ee quam.
  17. M XX Il
  18. odic ag
  19. MI. +1
  20. Ciplita
  21. GuaM
  22. A, O W A Y L O N W H.
  23. 123
  24. GiF pinor. Id quod non erit difficile, cogniris nempe cribus di-
  25. mensionibus ipliusn, lumendoque loco nn rectangulum sub dua
  26. BuS QuanticaribUS; GUIATUIM AIEOTHETA NON sIC ipSa n mINOF. FriE
  27. que hoc ad sequentia nocatu dignum.
  28. Prop. 3. X3 X M W X = v3 ∞ O.
  29. Per transpolicionem habebimus x3 ∞n3 =M MX, exitquC mM
  30. IMajOr quaMI N. RUrSUS CTIEM M X DN3 = - ~3, _E CONSCGHENECFN3I2-
  31. Jor quamx, enmajor quamx, ac proindennx majus quamr x3. Sed
  32. per transpolitionem a quationis proposita est quoque x3- LMmx ∞
  33. n. Frgommx Lnnxmajus erie quamn3, de diris d utraque parte per
  34. nn. Lmm, erit x major quaim
  35. nn. +mm. Inventa icaque cAtradix X
  36. aequationis propolica esse major qua mn. L. nn. led minor quam
  37. n22
  38. mm ecn. Polumus etiam loco nn accipere rectangulum duarum:
  39. maximarum dimentionum iplius n, ue radicis cubica extractio
  40. eriTetuI.
  41. C A P u F III.
  42. De Equationum Cubicarum; penultimo
  43. termino carentium.
  44. Prop. T. X3 - lX X X -F B3 ∞O.
  45. elcapolitionem erie x3. = n3 ∞ Ixx, ideoque x a majus
  46. quam,. Rurlus erien3 ∞ L~ N = ∞3, e consequenter l major
  47. duam x. Ouxlibet igitur radicum x aequationis propolicae major
  48. exic quam Vu de minor quam l.
  49. Prop. 2. X 3 - lN ∞ X =- B 3∞O.
  50. Per transpolitionem eritx3lxxcons, idcoquexmajor quainl.
  51. Rursus eric x3 =n3 D lXX, _ consequentEF~ major quamn, e
  52. XX Ma)US QuA NN, EC BN X MajuS qua N3. AFquI habCMIIIS quO-
  53. que per transpolitionem lXx - Ln3 D ~3. Ouarc cricl a X - L H X X
  54. inajus quam x3. DiridatUF VErAqUE PArS Per XX, criique l- L 1
  55. major

Cite

Ps. 2, fol. 123. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0147?run=74