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Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi, fol. 40

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: 0.85.

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

The machine reads it as

  1. mensionum hujusmodi, by F. Cay F e a)
  2. LXY ) faX, =0
  3. + 3X
  4. ex qua dedlucit aequationem ad Guadrandam genera
  5. lem, in qua ordinaca z est etiam duarum dimensio-
  6. NUIMd,
  7. bz. Y CaZ Y ea
  8. de = C∞ + f2b - cdf - 4bec + a X
  9. L 2dXZ. ] 2faX-) Abea AbfaX ] 4bgX
  10. + 43X
  11. Ca = 2c dax d X
  12. Ee similiter pro reliquis Ouadratricibus generalibus
  13. Duacrandas generales inveltigat. Proponatur jam
  14. Figura aliqua Ouadranda specialis ABC, _ exprima-
  15. EUE RaCUTa CUEVX AFB hac aequatione
  16. 7
  17. 91 1x. - - r2 2X X + 4 x3
  18. 2m; hanc aequationem comparat cum
  19. aequarione generalis Guadrandae jam polux, (quia
  20. ordinata Z in Ouadranda speciali ad duas tancum di-
  21. mensiones ascendic) nempe lingulos hujus cum fingu-
  22. lis illius terminis (ubi x eandem utrobiq; compoliro-
  23. nem obrinct) eritque ex hac comparatione c, d, e =0,
  24. _ b = = f = = 1 ac ∞ =:; _ hos valores substituit
  25. in aequatione ad Juadratricem supra posicam in qua
  26. ordinate x est duarum dimentionum, (quia his
  27. Ordinata Z ad duas quoque dimentiones ascendic) erie-
  28. GuC = =- aX ] =-0, leu V = 2a X = X, pTOprICtaS JI2
  29. drarricis specialis AFID in qua AOF = AOFIL adeogi
  30. hrabetur Fiourx proposicxe Guadratura.
  31. In eotamen lacet ratiocinations e ipltus ertodi
  32. defectus, quod omnes Curras in quibus Z ad duas di
  33. mentiores (nec ultra) alcendit comparet curr una e
  34. eadem

Cite

Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi, fol. 40. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1025220307:0048?run=74