Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 141

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: 0.82.

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

The machine reads it as

  1. 2CB.
  2. Oradt
  3. etrat
  4. laeo
  5. eu
  6. NC CON
  7. Everie
  8. muSP
  9. DEa
  10. e
  11. a rell
  12. B. 12
  13. 11 1d
  14. N O F A B R E V E 8.
  15. nea BC. Acqui cubus lincae AB, ec triplum productum linea-
  16. ruIM AC, BC, AB Cinul, aequantur eidem differentix q. (siqui-
  17. dem. cum cubo linex BC componune cubum linex AC). Frit
  18. itaque Z3, cubus ridelicet linea AB, una cum triplo produetoli-
  19. nearum AC, BC, AB, aequalis g.
  20. Veaucem habeatur hoc productumi mulciplicandum est bino-
  21. mium YC. + 39. + V + 49. +
  22. ErP quod aquatur linex AC.
  23. per reliduumm V C. = 9. V +44 L, P3, quod aequale elt
  24. linea BC. Hlinc cum V = 99. F = p3 in se mulciplicarum Faciae
  25. 44 + 2, P3, dc - F = g in = = g taciat = = gq; qux productn
  26. simul addica Faciune,, p3 (liguidem - = 9 gX - = 99 addendo
  27. cranelcune): e porro producta, quae tiunt ex f =98 - g in
  28. = 44 + p3, seMutuo destruant: Fric eorum productum
  29. V C. 2, P Seu; p, radix scilicet cubica ex,; p3. quandoquidem
  30. quaestio erat de mulciplicandis radicibus cubicis. Vnde criplum
  31. productum eritp, quod (i mulciplicetur per AB, hoc cAt, per Z.
  32. tictpZ, aquale eriplo producto linearum A C, BC, AB. LF per
  33. conlequens Z3.
  34. monstrandum.
  35. ∞ 9, velZ3∞ = pZ-+9. Quoderat de
  36. Sic jam secundo loco
  37. ∞YC. F =9 F V +49- , P3 + V C. + : q - V : 49 - 2P
  38. ee lupponatur prima radix cubica (quae binomium est) in figura
  39. praecedente aequalis linex A B; secunda autem (quae residuum
  40. CAt) aequalis linex B C; erit que lumma cuborum utriusque linca
  41. aequalisque. Porro supponendo lineam A C ∞ Z, auterendoque ex
  42. ejuldem cubo23, criplum productum linearum AB, BC, XZ.
  43. relinquentur cubilinearum AB d B C, qui quidem limul sumpri
  44. ipli q sune aequales. F.st aurem productum ex AB, B C, hoc elt,
  45. quodtic ex binomio in reliduum, V C. P3, Teu : p. Nam cum
  46. mulciplicando + V : 99 - P3 per = 1 + 99 - P3 (una
  47. radice existente signo - adtecta, altera vero ligno -) produ-
  48. catur urriulvis quadracum affectum signo, nimirum - =94
  49. L P3, ee urramque radicem per : q mulciplicando, produ-
  50. Cta craneleant; restat tantum. L =q in Se mulciplicandum. Jua-
  51. re cum productum illud sic - =99, _ alterum productum in-
  52. rencum (It : 49 + i, P3; eric eocum productum V C. 2, P

Cite

[Ps. 1], fol. 141. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0163?run=74