Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 14v

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: 0.69.

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

The machine reads it as

  1. 2
  2. An ergo
  3. erit:
  4. sam si
  5. sio
  6. ga1
  7. e
  8. d
  9. 7
  10. . scribendum
  11. 2-1
  12. M q + Z X x.
  13. sit X quantitas constans seu
  14. E dplX aequ.0. dxr fit
  15. -1
  16. e aequ. dz
  17. constans fit:
  18. 2
  19. in sit 7. quantitas
  20. aX aequa X az aequ. 0.
  21. r2 1
  22. tu et sit ax aeqo Ya
  23. x Ex ambobus
  24. Emautem simul nihil conflari potest nempe ax du
  25. EC
  26. et
  27. dinullus terminus conflar potest
  28. 2
  29. sjam habeamus Y aequ. y. et inde faciamus.
  30. e
  31. Y aequ y, fiet.
  32. L.1
  33. ei adeoque fietE dividendo omnia per yE.
  34. L1
  35. fiet.
  36. eq a = + =ys aequ. 0. est autem d: p d
  37. L
  38. 1 + = dus aequ. 0. seu. (Z aequ. y.
  39. ergo fit: y2C
  40. e
  41. id est prodit tandem morabili calculo cogarithmicam
  42. destuoturfor
  43. esse Hperbolae quadratricem tmenplite
  44. sit: Xaequ Y+ Y. fier raequ V2 +1 expercpudo Y
  45. 3
  46. et 0aequ. +V
  47. seu
  48. 4 +
  49. y
  50. destim posse
  51. 2-2
  52. + 277 26y Bytu +H yZ a
  53. ne
  54. YE ay
  55. Lc
  56. 12
  57. cequ
  58. vel peten. Z 1 V. siet:
  59. aut
  60. a
  61. 2L
  62. seu fV2
  63. a
  64. a2 + 2y dy aequio. se
  65. az qq
  66. evau
  67. + d- + vl2 + Ldy +
  68. L
  69. sive: 2Z + _ dz + du +2y du aequi
  70. e
  71. Cujus figurae hoc modo habetus quadrid trix. Quo x subsituaturs
  72. ciquart; Y. r2+= + habebitur summa C + r +A dE cum
  73. alioqui difficilis quadrasio. patet et hinc licet non sit Y vec Z fat
  74. d
  75. anec stacum initio Z in exponense

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 14v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068033:0028?run=73