Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 292

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: 0.83.

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

The machine reads it as

  1. F R AN CZS CF d SCHOOTE N
  2. +aa - a X- x x in locum Z~
  3. e -= a a a X
  4. de addatur L bb:
  5. a
  6. in locum = a Z
  7. ExturS et aequatio = = aa = bbX L ~ X ∞ 0, vel X X ∞ = a a = bb,
  8. cujusradix est x D V = a A = bb, vel x ∞ = V = a a = bb. EFFC
  9. prioris radix Z ∞ : a - V : aa - bb, vel Z ∞; a. + V = a a - bb.
  10. ut lupra.
  11. Denigue, quoniam tollendo secundum cerminum A:qua
  12. + a Z . F bb ∞0, ponendum cAt
  13. =a ∞ x sIrC Z∞ X = a ee subrogandum
  14. ee
  15. aeque addendum
  16. XX = a x + = a a in locum Z2
  17. ax = = a a In lOCUI - L 4Z,
  18. L bb.
  19. producetur ae quatio x x F - = aa + bb∞ O, velx x ∞ = a a -- bb,
  20. cujus radix estx ∞ V = a a = bb, velx ∞ = V = a a -- bb. Unde
  21. radix prioris AtZ D V = a a bb = a, vel Z ∞ V = a a bb- a.
  22. Oux urraque hoc casu est Falsa, _ hac eriam ria inveniri porest,
  23. nimirum supponendo Z designare quoque defectum alicujus
  24. quancieatis, quae major sic quam = a, urpore ponendo Z∞ - = a-
  25. substicuendo
  26. e
  27. tum addene
  28. + = a a a y
  29. Zaa = a )
  30. L bb
  31. y9 10c072
  32. 10c0. + 42.
  33. unde provenit equario -= a a- = b b X - F y y ∞0, vel py D
  34. =aa = bb, cujus radix est y ∞ V = a a - bb, vely ∞ = V = aa bb;
  35. aeque adeo Z∞ - = a- V + a a- bb, velZ∞ - = a. + V + aa 3b.
  36. UE antC.
  37. Fadem ratione tolletur secundus terminus reliquarum Aqua.
  38. rionum quadratarum pass. 687, quae similiter hâc opcratione
  39. eo reducentur, ut ad iplarum radices inreniendas haec regulaluA
  40. cere rideatur.
  41. mellise. Verum muter amarecenaum ett, quod, licut Aquacio
  42. qualiber Ouadrata compolica sublatione secundi termini ad a
  43. 2 aequatur educitur, in qua duo tantum lunt termini, sic nulla Cubica
  44. uobus au se f, pluribusterminis constans, (ex guibus 13 calus conf
  45. cipol.
  46. gationes.
  47. in quibus

Cite

[Ps. 1], fol. 292. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0314?run=74