Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 396

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: 0.86.

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

The machine reads it as

  1. A D D E Y A M B H X U H.
  2. Cocicetur d. =F 3 abc esC 20, _ 3 a a F bcV bc eNeV 392, ita ve
  3. a 3 + 3 a s
  4. L 3abc. b V bc designec datum binomium 20 = V 392, 8
  5. radix ejus cubicaaVbc iplam raclicem quaerendam, cujusm-
  6. or pars (ica, ee minor Vbc. Tum opcrare secunduin regulam.
  7. 2
  8. 20 V 392
  9. 2C
  10. subt. 5 +00
  11. 392
  12. relig. 8,
  13. 2 radix cubica reliqui, sire a a - bc.
  14. Adde 2d 20, partem rationalem binomii
  15. 19, praterpropter ralorem partis irracionalis.
  16. _ Ft Z9, ralor dati binomii inrarionalibus, cirei.
  17. cer. utpote à rerounicare non discedens, quippe
  18. qui incer 39 8 40 consiltit. Unde radix cubicatie
  19. ajor quam 3 ec minor quatm 3 =, Ita uF 3 radicem
  20. reram non lupra= excedat. Sumatur autem quali
  21. esset rera, ee aqualis a + V bc.
  22. Ecdirid. 2, hoc est, a a - b0
  23. per 3=, hoc est, a + V b6:
  24. dcHC =, SIVC a = VbC.
  25. add. 3 =, hoc est, a = Vbc,
  26. dc tic Cumma 4 4; sive 2a, duplum parcis rationalis, radicis.
  27. supponendo 3= esse veram radicem. Sed cum 3 = sIc major 12.
  28. dicerera; Ita tamEM, UE dIFCTENEIA nOn SIE (UpTA Z, HC, uC 4=
  29. quoque duplo partis rationalis major existat, e differentia mi
  30. nor quam c. licut inferius ostenturi lumus. Unde cum eadem
  31. parssicnumerus rationalis interer, sequitur duplun ejus fore 4
  32. UEpOce aximum inceorum numerum in 4 Contentum, adeo.
  33. que iplam diccam partem Fore 2. Oud invenca, Faeile et reli.
  34. quam invenire. Frenim, (1 a 4, quadrato ejuldem partis, subdu.
  35. Catur 2, radix cubica differentia quadracorum parrium dari bi-
  36. nomni, relinquetur 2, quadeatum alcerius parris: Ita utradixin.
  37. venta (IT2 - F Y 2.

Cite

[Ps. 1], fol. 396. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0418?run=74