Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 508

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: 0.79.

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

The machine reads it as

  1. 5O8 LOTT ANNES TTADDENETEBEST. II.
  2. In qua etiam dux radices aequales comprehendentur, videlicee
  3. x ∞y, ac denuo x ∞ y. Vel si illam mulciplicassemus per Xx L
  4. 2 γ x - p 7 ∞0, obtinuissemus duas fallas radices aequales: ut-
  5. cunque durem haec mulciplicatio hat, (i proy ponatur ejus raloi,
  6. habebitur
  7. X X = 2 X N L X X IM X 3
  8. X X = 2 X X = X X IH p X X 1
  9. X X = 2 X X F X X In gX F∞ O.
  10. XX = 2 X X -L X X IM Y
  11. Sijam unumquodque horum quatuor productorum, leu, quod
  12. eodemredie, f F, = 2, -F + (quoniam diridi potelt peF X X,
  13. a mulciplicatores x3, pxx, qu, ee r nullam mutationem CM-
  14. ciumc) mulciplicetur per Arichneticam Prosresionem: erit pro-
  15. ductum hujus mulciplicacionis ∞ 0.
  16. NaM
  17. MuIC. PF, VL2,
  18. H F
  19. Per a, a + b, a L b
  20. HC A, a 2b, + a + 2b
  21. Sen L 2a a, L b- 2b 30.
  22. MuIT. L 1,
  23. =2, + T
  24. Per a a- b, a- 2b
  25. tc an a + b, a- 2b
  26. Peu 24 - 2a, F 2 b - b ∞0.
  27. FTuc u(que unirersaliter considerari omnes aequationes, duas
  28. aequales radices habenees, quomodocunque ip(X pTOPONANEUE,
  29. hoc est, sire in iis cerhini quidam deline sive non, ut de quoino-
  30. docunque Signa F 8-= Cele habuerine. Quod manifeltum erie
  31. consideranti nobis Colummodo rem esse cum hiscenumeris L L,
  32. 2, c, non, autem cum mulciplicatoribus ~3, P X N, 4X, _Cr.
  33. Similicer respectu Arichmeticae Progressionis res etiam se-
  34. neralis manet, quandoquidem duo priores termini a, a L b, &e
  35. a, a -b indeterminati sunt. Ouod restat, ex sola inspectione
  36. praecedentis exempti, conferendo duas sequentes mulciplicario-
  37. nes, perspicuum Hec.
  38. V3 L p∞x. + qu. + Y ∞C
  39. Xx 2X X L XX ∞O
  40. ~X =XX L XX I1 ∞3
  41. XX- XX L XX IMPXX
  42. XX = =XX L XX In GX 5∞O.
  43. XX - XX L XX IB Y
  44. ∞3 F pr + qu. + 1 ∞0
  45. axgr L py
  46. 2D
  47. 7X)
  48. L pXE= PyX3 F. pyyXX
  49. = gX3 - qyXX F qyyX
  50. Y XX- Er yX + ry)
  51. MuIE. Der 4. A 8 b. AB 2V. A B 3b. A B 4b, A B 5b.

Cite

[Ps. 1], fol. 508. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0530?run=74