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Ps. 2, fol. 121

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. Aarum
  2. ices
  3. IM IT I BCS
  4. A Y
  5. C A B U F I
  6. De Aquationum Duadratarum seu duarum
  7. dimensionum limitibus.
  8. Prop. T. X X - l X + M M ∞ O.
  9. Er transpositionem erie m m D lX = X N, _ lI
  10. prima pars tuerit realis, erit etiam altera pars
  11. ealis, ideoque lx majus quam x x; ee dirilo
  12. Toque termino per x, erit l’ major quam X.
  13. un ae pertranspolitionem propolitae aequa-
  14. tionishabebitur xx ∞ lx - mm: ideoque al-
  15. cera pars eA realis, de la majus quam MM.
  16. mm
  17. Unde dirilo utroque termino per l, erit x major quain =. Oua-
  18. mm
  19. re aquationis propolitae urraque radix x major erit quam, sed
  20. Winor quam l.
  21. Prop. 2. X X -- l X = W M ∞ O.
  22. Per tranlpolicionem habebimus x x ∞ IX L mm, id eogue X X
  23. majus erit quam mm, d x major quam m, ac proinde m x majus
  24. quam mm. Iindexx minus eric quam la- L mX, ad eoque (IUEra-
  25. que pars diridatur perx, eriex minor quam l. L m. Rarlus, quo-
  26. nIaM x x aequatur lx L mm, erit xx majus quam lx; ac proinde
  27. si uterque terminus dividatur per x, etit x major quam l, E l’i
  28. majuS quam II. Hlinc cum N aquetur lX- L MM, CrIE X X MIajUS
  29. qua II. Fmm, hoc est, x major quam V II- L m M. POCFCIIO,
  30. quandoquidem x major est quam m, erit lx majus quam lm. &
  31. X x majuS quam Im. Lmm, hoc est, x major quam V LM. L M H.
  32. Unde radix aequationis propolitae erie major quam maximaha-
  33. cum duarum V II. + mm ec VIm. 1 mm, sed minor quain l. L. M.
  34. PiOP.
  35. F

Cite

Ps. 2, fol. 121. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0145?run=74