Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 42

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: 0.88.

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

The machine reads it as

  1. +2
  2. P R L H C F P E A
  3. Ouod si, Tubductis quadratis parcium dati binomii a se invi-
  4. cem, reliqui radix quadrata e major pars binomii communican.
  5. tes non fuerint: Catius erit ipsi binomio lignum univertale radi-
  6. cis quadratae praefigere. IIt ad extrahendam radicem quadratam
  7. Cx = = a. = V = a a + bb scriboV = = a L V = a a + bb. Gux radio
  8. ces rulso appellantur Univertales.
  9. DE REDVETIOHE AEOYATTONVH.
  10. TToniam ad resolrendum aliquod Problema, id ipsum sup-
  11. Ponendum est ut jam factum, atque nomina imponenda
  12. Tune quanticacibus tum datis, tum quaesitis; et quidem prodatis
  13. a D. Des-Cartes ordinarie ponuntur priores licera Alphabeti
  14. a, b, 6, _C. pro quae sicis aurem polteriores Z, V, X, _C: HIE UE Per-
  15. currendo Droblematis difficultatem, eo ordine, quo omnium na-
  16. turalissime paret, qua ratione dicta quantitates, nullo inter co-
  17. onitas ee incoonitas Facto discrimine, a se inricem dependent,
  18. eandem inreniatur ria quantitatem aliquam duobus imodis expri
  19. mendi. id quod Aquatio rocatur. IInde cum xequatio nihil aliud
  20. SIE, quam mutua comparatio duarum rerum ae qualium, quae varie
  21. denominantur: Facile constat, quantitates halce cognitas e in-
  22. coonitas, prout direrlimode lunt aftecta atque dispolitae, direr-
  23. Pas efticere posse Equationum formulas, qua tamen per sequen-
  24. ces regulas reduci queunt ad halce limilesre species:
  25. V
  26. Z∞b, aut
  27. ∞- aZ + bb, aUE
  28. 3∞. F a ZZ F bbZ - c3, auF
  29. ∞ = a Z3 F bbZ2
  30. 132
  31. De Reductione per Additionem.
  32. T P hrabeatur aequatio inter Z - 3_ F2, hoc est, Si fuerit
  33. 3 ∞ T2: guoniam s aequalibus aequalia vel idem addas,
  34. ea quae tiune sune aequalia; hinc si uerinque addatur L 3, fet
  35. D 15. HaM 3 X L 3 addita FaciunEO.
  36. Sic _e Si fueric Z - b ∞ 0, adden do verinque b, Het Z ∞ b. AUE
  37. s1
  38. Pa8. 6.

Cite

Ps. 2, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0066?run=74