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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 25r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 24v); this page is its right half.

The machine reads it as

  1. Ulnum optaram ut et VD fieiet VWV. sed hoc calculus regat, experiar
  2. demo. a Quadrato DL a + aax + anferatur anferatur quadratu
  3. VL ⊓ _ ex seu a a ax +X, restabit SaX, seu 2aX,
  4. Ergo DVY Tax,
  5. SVW. quod est verissimum Est
  6. ergo AD vel AW ipsa parabota generatiim. Huc usque ergo
  7. plane sitiffactum est voto. Sed jam in cipio vereri, ne error
  8. sit in illa suppositonee, quod scilicet DE AV, DF Yd, et PX
  9. BQ p Y+ (B7
  10. Inspere tiguram hic ascriptam, in ea.
  11. 22 p BP. a DP, DB
  12. DR, DQ. B X.
  13. a
  14. 2DT,, QF 1a0
  15. FBH FN. Ergo BTB TN. et recta
  16. BF_, angueum BFN bissecat.
  17. jam FN , X + d. B FB.
  18. et BR F DR in X + DB seu a.. ergo
  19. F B H FN BR Y 8X+ a
  20. porro
  21. 2)
  22. QFHI _ 2aX, addatur 2 a, fiet:
  23. a + 2aX, ejusque dimidium Et quia _qD dimidia
  24. ipsius Q R. erit es ssu DF ipsiu QF. erit TF
  25. imidia ipsius RF, et BT ipsius 2 F. ergo B7 sarax
  26. quae in figia prima primae paginae AV.
  27. +
  28. q
  29. ab ejus quadt
  30. auferatur a quadrato ipsius BF
  31. quod
  32. X X 4 eax 4X + 4ax + a restabit.
  33. _ IX + 2aX
  34. +
  35. N 2X + ax TF2. ut supra.
  36. a BF atur Item a BF~, seu 4X +4aX + a auferatur
  37. 2F2
  38. N 8aX, fier: 4X + 4a X - 8aX + a2
  39. e et erit
  40. B89 B9
  41. H+2X + a sive erit,
  42. DQ. differentia inter X et a., qua2 et dudum constat
  43. stenim utique BE. differentia inter D9 et DB. Unde satis apparet
  44. non esse BT equale ipsi BQ. nec ideo in figura pumae
  45. paginae prima AV,
  46. est parabolica generatiili
  47. D9.
  48. quare nec AD curva
  49. evenit. Sa
  50. eade; ut in cycloende
  51. abx + a inferalio FF Nunc BT appellando y,
  52. fier:
  53. X Y
  54. fier:
  55. et erit
  56. a erax
  57. y et X 4y qu
  58. 16y4 - 8 a + at, inseratur valori ipsius YFV
  59. a
  60. + a2
  61. 16y4 - 5 aey (a)
  62. ear
  63. A ay
  64. N2
  65. + 4γ (a) , 16y- 445)
  66. 2a2
  67. ut supra
  68. +y sive p 2 Sa unde aequatior
  69. 2a a 1-
  70. uus tatus quae indicut curvam ADE in
  71. Fo. t feginapam Euus pturte esse pumtolimo

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 25r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0049?run=73