Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 85

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: 0.81.

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

The machine reads it as

  1. dd = bc, huC
  2. 1m. + bl. + bB.
  3. dem
  4. clit.
  5. abebimus pir
  6. vera radice
  7. reliquaste
  8. =bba DC
  9. AdX Sil
  10. in toca el
  11. O, dC peT COI
  12. rem. Fiatio
  13. imus lob+
  14. Drum cermine
  15. dendo ralore
  16. cognita
  17. 1 ∞0dd
  18. debimus
  19. rela ladio
  20. duSten qu
  21. 6D
  22. AE U s Y ZO H U H.
  23. 6 Propositio.
  24. Prolexta propolicarum, fiat ex duabus X3- ] exX ddx bdd ∞0
  25. _ X - b ∞ O haeC aequatiO X = - f C∞3 = d d X x Y - bb d d ~0.
  26. b0
  27. Supponendo autem majorem quam b, habebit ipsa eandem For-
  28. man atque lexta proposicio, ac per consequens ejusdem crunena-
  29. curae e consticutionis. Finc erso adaequario, de comparando se-
  30. cundos terminos habebimus b∞c-- b, hoc est, 6∞ l- (- b. Dein-
  31. de, exeollatione cerriorum terminorum, habebimus mm∞dd L Bc,
  32. hoc est, resticuendo valorem cinventum, exit dd ∞ mm- bl - bb.
  33. Ende discimus, cognita vera radice b, hanc aequationem
  34. x3. LXX = mmx-bmm ∞0 tresreliquasradicesrespicere.
  35. L- bl = bbl
  36. bb
  37. f B3
  38. Poltremo, ex comparatione ultimorum terminorum, habebi-
  39. mus pr bbdd, ac per consequens d d D si adeoque, cosnit
  40. vera radice b, haec aequatio x3 - L l X X =- MM X - ∞0 ad EreS
  41. 1
  42. reliquas inrestigandas erie adhibenda.
  43. Propositio.
  44. Lb
  45. Proseptima propolitione, hac ex duabus, x3 - = C X X = d d ~ -
  46. bdd ∞0eer -- b ∞0, haeC aequatio a = F 6∞3 - d d X x F - F bb d d. ∞ 0.
  47. bc
  48. Suppolita autem b majore quam c, habebit ip(a eandem Formam
  49. acque leprima propolitarum x+ = l ~3 =m m X x X. ( p+ ∞ O, dC
  50. per consequens ejuldem erunenaturae de constitutionis. Fiat ergo
  51. acaegnatio, e per comparationem secundorum terminorum ha-
  52. bebimus 6-- b∞0 = l, hoc eAt, c∞b l. Deinde, conterendo
  53. certiosterminos, habebimusm m ∞ dd L bc, hoc est, subltituto
  54. valore c invento, erit dd ∞ mm =bb L bl. unde discimus, co-
  55. Bnica ver a radiceb, hanc a quationem x3 L bxX mmx bmm ∞0
  56. bb u bb
  57. Lbb b.
  58. rribus

Cite

Ps. 2, fol. 85. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0109?run=74