Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 21, fol. 4r

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. 5v); this page is its right half.

The machine reads it as

  1. Aequationem Solidam quamvis constrnere
  2. oper ope Circuli et Hyperbolae aequilaterae datae
  3. sit ex aequ a +by aequatio ad Hyperbolam
  4. sit X+ y + CX + du aequ. 0. aequatio ad Circulum
  5. et
  6. (4)
  7. X aequ + a + b per aequ. 1. X aequ a + 2ab + b2
  8. fiet in aequ. 2. a 4 2aeb + b2 + yt q RaC + bc + dy aequ. 0
  9. Unde: y + dy + b y + 2 a b y + at aequ. 0.
  10. + bc. + ac.
  11. Sit jam aequatio data solida qualiscunque
  12. + Ry alquy abr y +lis aequ. 0.
  13. (9
  14. (10) 2
  15. (1) ra - 2b
  16. fiet daqu. p. a aequi A 2btc aequ re seu Cxequ g.
  17. (12)
  18. (13
  19. rusus C aequ ag - b aequ qu - b. Ergo b - b aequ. qu
  20. 52
  21. 454
  22. (16)
  23. sb
  24. 454
  25. (17
  26. s
  27. rae +sqaa
  28. et 1 = ra aqu a Traetsq seu baego a trat sq + ra
  29. 2521
  30. 25
  31. Sed huc generalius hoo modo:
  32. 252
  33. y X aequ. +a+ by ad Hyperbolam aequilateram
  34. X + y + CX + dy aequ. e ad circulum
  35. X ago a + b x ago at + 2 + B
  36. a + 24b + b + y, + ca + bc, + dy aequ. e ex aequ. 2.
  37. y4 + dy3 b y + 2a b y + at aequ.0.
  38. + bc. 4 ca.
  39. et.
  40. + p y3 + 9 yt + r y +s aequ. 0.
  41. Ad huc generalius
  42. yX aequ ax +b X. Xaequ d Z v aequ a + v
  43. X aego Y +a. seu yx + bx aequ cy + ac
  44. + 6
  45. yX L ax + by + c
  46. X aego y+a X aequ + 2ay+ a
  47. (3) 3 +b
  48. y2 + 2by + b2
  49. 2
  50. X + y + dx + ey + f aequ. 0. fiei Cy 42ay+a + y + cdy + acd +ey+f +
  51. y+ 2by + b
  52. y + b
  53. seu cy + 24Cy +ac + y + 2by + by, + cdy + acdy + bedy + abcd
  54. + ey3+ 2bey + b ey + fy + 2bfy + bf2 aequ. 0
  55. 4 + 2by3 + c y + 2ac y + ac aequ. 0
  56. +
  57. Ponatur S70. et a
  58. e...
  59. + b
  60. + cd.
  61. +2be.
  62. +fr.
  63. + a cd. + abcd
  64. + bcd. + Bf2
  65. + bre
  66. +2bf. arbitrariae 2 ac. c. b. d. C. f2
  67. quo
  68. fies
  69. y
  70. + 2b y
  71. ue

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 21, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068234:0007?run=74