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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 296r

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: 0.80.

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

The machine reads it as

  1. problema:
  2. Datae basi Trianguli, uno angulo ad basin, et flano sub duobus lateribus
  3. Dinvepire Trangulum.
  4. tangen
  5. et CF
  6. Esto basis a. jus anguli eati b Caltitudo Tianguli-X erit
  7. = = a. Ergo DF = ab, ejusque D, a b addatur ad X
  8. DF
  9. recta
  10. N. datu e etiam limeatG.
  11. fiet CD = a b + X ab+ X ergo et a rectam _.
  12. ratio- 8E jam dati Eg
  13. Porro EF = a = ab ejusque B a = 2 a b + a
  14. cui si addatur X, fiet CE= a - 2ab + ab
  15. ducantur in se invicem CD= ab x
  16. et CE = Sa X - 2 a bx + a b + X
  17. datur
  18. fiet S. abx - 2a bx + a b + ab X + a X - 2abX a b X + X
  19. X
  20. 6, X - 2a b 6 A 2a b + 2a b + ab X- 2ab.7 a6
  21. vel:
  22. sitan
  23. cono datur GE Di ergo et HE,G est = GCFD Ergo datur et AD. ergo datur et Hi
  24. datur et GH. porro HECd = DECF Em GD. DE = CD et DC= HE = Ego-
  25. ee
  26. ergo si p paralleta A, et = DE, tunc EF mod lEas adet in N, quia
  27. 2. ae solitur
  28. + X _+ a - 2abX + aeb X (). A2b X- 2ab X + ab = - 0
  29. -a e
  30. Aequatio data
  31. Eequatio similis
  32. 00,000000 vel: C 0 0 0 0 0 0 0 0
  33. d +4 000,000
  34. 2aD0, 000
  35. 111000
  36. sabb0
  37. rad 0 0 0 0 0 0
  38. -ac 00 0 0
  39. +47 0 0 0
  40. Si
  41. se
  42. E et
  43. CDC
  44. ergo CF = CE. Ergo
  45. C CF C5 D
  46. 2
  47. datu
  48. 10
  49. cda
  50. - 4
  51. e= 6
  52. d= Y
  53. c-
  54. Et posito
  55. a=1. netalis pro lilitu
  56. 90 7 b 5
  57. vel 1 0 3 4 5 0 7 89 =- 0 depressam.
  58. vel 10
  59. 1
  60. 0
  61. 3 0 5 g 7 0 9 = 000400080
  62. e
  63. 0 4
  64. Vel posito: ac 1. bc 2 c 237
  65. fieti . ...
  66. 24 35
  67. seme
  68. vide in plagula
  69. adhaerente, idem
  70. problema bon
  71. e
  72. se solutiu
  73. aequatione
  74. vel. 10
  75. 4 1 0 256 =029

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 296r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0591?run=74