Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 66r

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: 0.77.

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

The machine reads it as

  1. fas ita investigabimus:
  2. P ego co. deaego b sdx + fAF dx. Ergo Sd+ Fxk ex aeu
  3. X aequ co X (+ co 4x e dx
  4. e
  5. dx
  6. Et du cd aequ
  7. X
  8. XX
  9. p
  10. ac
  11. exis
  12. Cx - X de aequ dco. Ergo sd aequ s aax - (de
  13. idem alio calculo
  14. eem
  15. XX n
  16. X
  17. Jam es de datur est enim aequ. dx+ fxx ax. quod
  18. datur Habe ex quadratura Conica, habemus ergo
  19. e dx
  20. p
  21. gadratura figurae
  22. Eadem methodo habebimus et. e aequ
  23. X
  24. sit:
  25. ec C esx bo exte
  26. b +
  27. nam
  28. .Nam pro b+ cx substituamus
  29. IV. Idque inseramus in e vel de loco X. manebit Canica calculus,
  30. 1
  31. t
  32. Sa
  33. pdor succedet, eodem modo. Tandem ergo pulcherrimum
  34. problema absolvimus imposuimusque inquisitioni tamdiu
  35. agitatae finem
  36. sit . (b+ cxx aequ n.
  37. ftes quaritur quadratura: Ax
  38. q aeqe na d ve +hva aequ. lv+ Macm e48. +9
  39. 3
  40. g do e + gDCc + Ma v + h Vda rgo do +m La +2 de + d
  41. duaeqo ap 9 de V (, ge + ha =
  42. Ergo du aequ.
  43. -h
  44. aequ:e +
  45. ge +hafl
  46. ge +ha-
  47. yae +h da +dl
  48. (2) getha- 1
  49. si detur ydx. Et 1 dx et
  50. Ety ex+ x + L dus +(
  51. V aequ V
  52. b2 + CXX)
  53. 2
  54. HEvdo aequ
  55. 45+gri
  56. x dus
  57. et
  58. per ebalutione
  59. Gu: WL. GL
  60. Lec
  61. PN. NM. pM
  62. seu itus ago d
  63. dx
  64. dque
  65. Ergo tq aequ. ex
  66. cy
  67. dy estantem Eyrego x b
  68. 2
  69. Ergo dus aego ydx
  70. Ergo summmra yt du + ux senoaegos b
  71. 2CX dx f2+gXX = s
  72. Lis
  73. F+gXX
  74. cuiu
  75. quadrati
  76. 29Xdx b+CXN quaerit

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 66r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0133?run=74