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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 20r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 21v); this page is its right half.

The machine reads it as

  1. u de neductione omnum antronaplum qd circ. et Hyp. de
  2. educt: curu ad rationates
  3. de imaginaris
  4. d
  5. salculo per musmenta.de additionibus ordepatata
  6. per constantes Ergo cubiliariae prius atiae Jannar. 1680
  7. Quadraturarum investigatio
  8. per calculum
  9. Ennum omnes figurae simplicis aequationis nempe
  10. est
  11. paraboloides et Hy perbolvides ita quadrantur,
  12. quia differentiae earum si sint progresspionis geometro
  13. cae seut ipsis proportionates proportionis geometricae
  14. dz
  15. H y. dus B LX
  16. Hinc et quadrabiles qua u ex his componuntur.
  17. X
  18. X + X B
  19. + X2 co.
  20. et faciendo v. fiet
  21. et X ro +1 semper datur qua
  22. ratura. Et qua docunque si sit
  23. a
  24. .
  25. datur figurae quadratura, ergo
  26. et haec quadrari potest: X + bx +
  27. X 4 b X
  28. seu
  29. X
  30. X
  31. X
  32. 2
  33. VX
  34. y+b - b
  35. eon
  36. YX + 1
  37. sx
  38. y
  39. fiet X + 2-Y
  40. +
  41. ne
  42. vx H y + b
  43. p- b3 + V Ly-
  44. 27
  45. ponatur ae 1C+C
  46. X
  47. V.
  48. X + 2RX + 410.
  49. 1 + X 4F
  50. quadrari potest. Ergo eb
  51. seu e
  52. X2
  53. 4
  54. t eX
  55. x + bp y. X+Xy
  56. SX
  57. 2 X +X+y+45
  58. 4
  59. +
  60. X
  61. 4+y- 4
  62. a
  63. p- 4y -b Habetur
  64. t
  65. ergo quadratura hujus figurae
  66. Yγ. 4y +c, d,
  67. sed quia omnes istae Vrae naps non sunt
  68. plane analyticae, huc alius calculus subinde
  69. a ine adhibitus analisticoteros per
  70. momenta seu multiplicationes
  71. Exempli
  72. 27

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 20r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0039?run=73