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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 179r

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: 0.83.

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. 180v); this page is its right half.

The machine reads it as

  1. sit AB, x.
  2. AH C A F, Z
  3. BC, y. seu Ap
  4. AH V
  5. CN dx. XD dus FGdx HL de
  6. sit dy aequ = Quaeritur E ex dato B.
  7. dx
  8. a
  9. BF: BCy: dy: dx ; a Ex y: a. Ergo BErgo 33
  10. datur ego relatio inter AP et AF BF, seu datur BF ex AB.
  11. jam EF. Ergo datur et CF ex Ap. jam EF: EC:: FG: CM
  12. Z aequ AB + BF aequ X + Y7.
  13. Ergo de e FG seu deogo dxpedy 7
  14. CM aqu CN+ Nm aequ dx + dy dy Ergo CM aequ. dx + dyy
  15. e
  16. Ergo EF: EC :: x + 2 dyy :dx + dys y :: 1 + 2 7 Z: 1 f dy.
  17. dx a
  18. seu EF: EC :: 14 297: 1+ 27. jam EF rec
  19. aa
  20. aa
  21. dx a
  22. seu EC: EF:: 1+ 77 : 1+ 277. jam EC CdF :: 1 + FC ce
  23. aiu
  24. seu 142
  25. 1 + 24
  26. s
  27. a + yy -aa
  28. aa trgy
  29. a
  30. aa
  31. EF
  32. a
  33. 77
  34. aa +299.
  35. e
  36. EF
  37. ac
  38. a EF
  39. ergo EFaequ. aatrgy yytaa. Ergo ex dataus habetnus EF
  40. Ergo ex data yhab seu AP habemus EF, item E9, et Fq magnilidi
  41. seu EQ aequ. Nam Eq: FE : + y: 1Z nb a. EZ aequ FEaC
  42. e
  43. seu Eq aequ aaeigus syytaa FQa EF
  44. ea qaa
  45. +
  46. yta7
  47. EQ: FE:: y : FC seu Eq: aa trgus saatyy:: : Trytaa seu dy aa
  48. Ergo E8 aequ. - aatrgu. similiter Fq: EFEB :: YZ: FC
  49. seu FZ: - natryue: Ay: .: 7: 1. seu q aequ- aa + 2yy
  50. ay
  51. sit AQ aequ Z. et EZ aequ v. fet X + y7 - aa +6- 297 aequ. Z
  52. seu Z caqo ax - aa- 77 et v aequ. -aa- 2yy
  53. dZe aequ. ad x - 2ydy dv aego -dy aa - 2dy
  54. jam dZ: dy: seu dZ: dy :: - 27 2y: - dy aa - 2dy
  55. seu dz: dy aequ a = 27 7. = 2, aa - 2 y
  56. aa
  57. a
  58. ry
  59. a
  60. a ex
  61. Ax yy ax
  62. seu dz: dy : 2 - 277; - a - 2 Z :: - 4a - 2y7 : = aa - 2 yy
  63. sed nihil hinc discere possumus novi. Nam iam tum constat: Ya
  64. aa
  65. aa
  66. dz: Zdv :: FQ: eq:: BF: BC :: 77: y:: y: a
  67. dz: do :: y: a. Jam y avaequ + aa - ryy. seu
  68. seu 247 + aa +VBequ. 0 seu aat tart; vr aqui vr 277
  69. seu eryy + 27V + aequ : vr- = aa seu y aequ + Sov - 8aa = =v
  70. Ergo de: do :: = Suv - daa - - v:a.
  71. ergo surra
  72. voentione deser
  73. Habetur ergo curva E per quadraturas, data curva C per quadraturas.
  74. eroevenda
  75. seu inventro curvae Evolutione Generamtis aeque procedit in
  76. his quae per letragonismum generantur, quam in his quae determiinantur
  77. cunuam

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 179r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0357?run=74