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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 198v

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: 0.84.

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. 199r); this page is its left half.

The machine reads it as

  1. 20
  2. = (( - 4 qu s5 1 29 + 4 8 55 + 29. (557 - 4 5 9
  3. seu 520 = 59) - 4 qu (597 109 =+ 4 R9. 109 + 2 qu 5109 7 - 4. (59 - po)
  4. =4. ( 9 +. 1. 6259 - 4. 25 (104 + 4. 5. 109 + 2. 100g0 - 4. 5. d9 + 4 prc
  5. .
  6. 2
  7. 25 1000
  8. = 59 + 4 pt0
  9. 200
  10. 200
  11. 40
  12. est rationalis in X ergo quod est rationale in
  13. 20 erit q + 4 pro
  14. 10110 10155
  15. sed rationale in xo est a + β a b + Va b + dabc +B a
  16. sed a = 4 et ab -0 et a bC = 0. Hinc indestigabimus
  17. a = _ qu sa
  18. seu ab -0 ergo a = a
  19. Hinc quaeramus a, etc.
  20. 1513
  21. 0
  22. res
  23. 20
  24. 20
  25. 15
  26. a = q et ab =0 abc =0
  27. 1a =
  28. = qu+ 4aebcd
  29. 20
  30. o
  31. 10 = qu- 4 ab c
  32. re
  33. 20
  34. 15)
  35. 10710
  36. 20
  37. cope
  38. a in a = a +2a seu a b - 4ab0
  39. 20
  40. ergo fiet 4 = q - 4abcd + 2a
  41. re
  42. 10
  43. 10
  44. +24 abc205
  45. 20) = (490) C6abed + 12abcd +n a 65 +24 abcd
  46. Ergo
  47. 20
  48. 5
  49. 015
  50. 110
  51. -(1+1 +2) abcd = absd a b5 = - 4 ab c
  52. 10 (+20
  53. +aβabCd +7 abed- 4d a bC d + D abcd
  54. -4595
  55. Ergo habetur ab cd
  56. a - 4g’a +0 a - 0a +. d 3 p: D =0
  57. 20
  58. Quaeramus jam β, V, 5, per regulam alibi invendam
  59. creum nniones totidem
  60. Potentiae a b e d corficiens prodit ducendo invicem m + np+q quiterciones,
  61. MCn + P +9 rerum niones m+ sp + q rerum pniones m + greum quiqniones
  62. ipsi a. b3 praefigitur 20. 19. 18. 17. 16- a. b praefigitur 20. usque ad 11. =
  63. 2. 3. 4.5
  64. 1. 2. qu ad 10
  65. ipsi a b c proesiptu 20 usque ad 16 15 .sqadic d (abC d prosipta 0
  66. insque ad 51
  67. 1 usque ad 5
  68. abC d praefigitur 20 usque ad 16 15 usq ad 11 10 usqu ad 6 = D
  69. 1. usque ad 5.
  70. 1. usque ad 5
  71. 1 usque ad 5
  72. fiet 4, 20 19. 18. 1 +. Hic quivis triminus mulliplicatur per 20 usqu d 16,: ce1 usque ad 5
  73. rostat 4 + 2. iusque B11 + - 4. 15 utq ad 11 + 15 usque ad 6 Dousqu ad 16 = aβ + 2) -4d +
  74. 6 usque ad 10
  75. seu 4. qu. 1 usqead 15 +2. qu. ( usqu d )
  76. 1 usque ad X
  77. qu. Insque ad S
  78. Iusque ad 5
  79. 625
  80. 100
  81. f 10023
  82. 1020
  83. E2o
  84. Unde C20
  85. 20

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 198v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0396?run=74