Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 495

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. 1
  2. C
  3. trat
  4. Ce1
  5. A e1
  6. 0e
  7. deou
  8. Dom
  9. cet
  10. DE REDUOTLONE A OLAZTONUM. 495
  11. nalem 4 dimensionum, fractioneque carentem, 2 veroter-
  12. mino, si ad (it, manente, ad aliam trium, es hanc ilerum, st
  13. fieri potest, ad alias pauciorum dimensionum.
  14. Postonam exploratum est aeguationem PEODOLIEAM.
  15. non esse dirilibilem per aliam, duos duntaxat cerminos
  16. habentem, inreniendus est ralor hujus aequationis
  17. 93- gyy 4sym SpP∞O.
  18. pY ut 49.
  19. ubip delignat quanticarem cognitam, suis signis L vel
  20. adfectam 2d cermini; q. tertii; r, quarti; s. quinti.
  21. Invento aurem ralore iplusy, Poterie aequario Propo-
  22. Cita ejusdem ope diridi in duas aequariones (CGuenTES,
  23. quxe linsulae duas dimensiones habent, nimirum in
  24. XX L: pN + V pP 9. F y iM X, + E y +
  25. eC NX f E PX V = pP. g. L y iNX, + :g-
  26. LyD
  27. 2V = PP- 4+y 0.
  28. V.
  29. 2V +Pp- 9 +)
  30. 00.
  31. Ouod sivero valor ipliusy non sit aequalis alicui ex di-
  32. viloribus ultimi cermini. (pp. + 49s= rx, nON POTC-
  33. ric aequatio Propolca ulterius quam ad eres dimensio-
  34. MCS FeduCI.
  35. Exempligracia, si reducere relimus aequationem x + - 2 ∞3 -
  36. 2 X X - 2 N F 7 ∞ 0, qua per aequationem, duos solummodocer-
  37. minoshabentem, est indirisibilis, inrenio
  38. y3 - 47y - 45 y - sPP ∞ y3 - + 2 yyX = 16 ∞0.
  39. + PY + 44)
  40. Y
  41. (nam p ~ = 2; 9∞ = 2; r ∞ = 2; (∞ 5). quae diridi porest
  42. Pery =- 2 ∞ 0, ita ut loco duarum aequationum habeantur hae dux
  43. X X = F X - F T ∞ O, _E X X = F X- f X∞ O.
  44. LV
  45. Fodem modo sihabeatur aquatio X. 1 X X = +Z X -- 5 ∞ 0, 0b-
  46. BIBCO

Cite

[Ps. 1], fol. 495. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0517?run=74