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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 101r

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: 0.75.

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

The machine reads it as

  1. a bc d Radices aequationis quatuor Dimensionum. quod si aequatio secundo termine
  2. careat semper aequatio radices verae sunt aequales falsi, ideoque ponendo tres esse radices, aequa
  3. tionis cubicae, a. b. c. et unam esse veram a, duas falsas b. citunc erit a = b + C, et quia b et
  4. Csunt falsae loco affirmativarum substituantur megetivae, sive a f Ergo poterit dici tres
  5. esse radices b+c, b. c. vel a + b. a - b = 2a.
  6. X = bE N - = b X. rc. X - b - c = 0 X +b = 0 Xt C = 0
  7. a X - bX + ba
  8. X
  9. YX S
  10. LX
  11. X - a IX VX vtX us
  12. = a X + bax - b a
  13. + aX - b + ba
  14. comparetur cum:
  15. X WX yX Z
  16. +AX - al X rabisX -b ab ego L +rF o. e rp - t.
  17. =a - b
  18. + a = X
  19. Ego W FI v - r +5
  20. Q YI vs
  21. Ego vN 3 =
  22. x
  23. X+b =0
  24. bx bc
  25. Ex X abea
  26. b
  27. CC
  28. +X = CX LX be
  29. b -6 - b0
  30. +c rbc
  31. Pbe = 9b - 9c Eigo C17 4b
  32. axy = 9X - qy vel b 1
  33. X - y
  34. + 1
  35. = Xy X y sali
  36. s
  37. 1 Ermo 223=
  38. 9 Xy
  39. e
  40. PC
  41. ertorum
  42. Partinaria
  43. xy vele uds
  44. sign. (
  45. x CX 2bc s X + derc, b.c, X Bc. ctb
  46. be bay o bC
  47. -c
  48. =
  49. Pr 1 qui be eEro 91 bep QNsebac 1mb - E B d. Ergo br cAd
  50. Ergo 7 = 3, vel 517 1Z
  51. Ego AXd C. Cab liy bc.
  52. x
  53. Em a ix de sive
  54. Y = X7. Et o C
  55. et Ba r ruk 27. o Nesta ap u er + Z sers rader s. bn ir a
  56. la
  57. X =
  58. a
  59. 2a=
  60. - 1
  61. X X - 4y =
  62. an
  63. 1x = 1X (, +.
  64. -y + 4 37
  65. x + 4 - 2 - 0
  66. Vt 8
  67. ui locus Hxperbola est
  68. Unde patet una radicum data
  69. stati in alteram quoque dari
  70. ope circuli, seu sccantum
  71. eae sunt axpliculae hypitoae
  72. 101

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 101r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0201?run=73