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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 210v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 211r); this page is its left half.

The machine reads it as

  1. Res ergo rediit ad duas aequationes 63. 64 quarum prior est ad lineam
  2. multiplicatam
  3. rectam, ut vero priorem cum posteriori componendo aequationem ad sonicam
  4. datam nanciscamur, sic agemus: pro aequ. 63. scribamus compendii cansa:
  5. 19 t+ _ caequ.
  6. ducatur in
  7. addatur aequ. 64. L . s sit.
  8. duta in d. fier:
  9. 195+ 20 + 21 aequ. 0
  10. s + Y + + co fiet.
  11. +co,19s +co2oF co21) (66)
  12. +l.9ts + rot +u.aqu 0
  13. +X yst + 91 20..
  14. sa
  15. e
  16. E11 B)
  17. to, 21,0
  18. lap e
  19. -8t oot-dad aequ. o)
  20. datam
  21. Quae aequatio 67 comparanda cum sequenti ad lonicam sper E multiplicatae
  22. (66,
  23. ea s -E t +cas +c2+ + aqu. 0
  24. ex s et t. fit X, 19, 4 aqu - Y, 20 et qu t. sit d. E +qu , 20
  25. ∞, 19
  26. 1, 20
  27. 19
  28. aqu Y E= 5, 4
  29. aqu S-E
  30. +42o Y aequ - 113b5
  31. (69
  32. 6 aequ.
  33. per 52
  34. 19, 9
  35. Ego _ ∞ + 1 aqu C-8 q 1, -
  36. et 6X
  37. 9, 19
  38. 19 + 20
  39. Y aequ. d - E Ermo pr S+ fer. 5 - E, 19 + cad, a, 20 10b 5
  40. per +2 20
  41. 9, 4
  42. et
  43. seu 5-E, 19, 9, =, 6 - C, a, 20 + 136, 19, 20, d b E, aqu un b, 9,a
  44. et fer d = 12b, 19, 20E
  45. aqu
  46. +E Ergo
  47. 192, 4, = u, 10 4 13b, 1
  48. aequ 59 - a, 20
  49. 1974, = 928 + 1136, 19, 20
  50. EEt per altaum teminum Cd go d ad
  51. (74)
  52. 1
  53. 199 - a 20 seu - s o s
  54. eex compendum deeq e qu 14 iibiy 2o 5. seucopeidiot
  55. s
  56. 5+
  57. Ex termini s. sit: , ad 19 ∞ + a 21 shX + F a B aequ 38 + Xs e
  58. F
  59. pei s aqu. ad, 19 - a n
  60. 3
  61. +
  62. 9
  63. 19,9 51
  64. + a8
  65. et ex terminis t. fret ad, 20 - Ah, + p
  66. gd. =
  67. 67.
  68. 2120
  69. C8)
  70. Constat autem quomodo aequatio a pr t + sus + 2t aequ. 0
  71. universaditer constituatur, rectangulo scilicet conicae datae inscripto
  72. cujus latera sunt N. 2. lateribus recto et transverso existentibus a. q
  73. quae unde constat conicam esse datam. Ope ergo aequationis
  74. ad rectam, 65 vel 63. et ad conicam datam 68 euplicatam per
  75. 76. 77. habebuntur s. +. in aequ. 14

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 210v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0420?run=74