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Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 3r

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: 0.73.

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

The machine reads it as

  1. a XE - a aeg. 0. ergo dividendo per X - a firt X + X a + X a + xa + a aequ.o
  2. jam aequatio qutica X tollatur secundus terminus pro X ponendo V.a: 4. prodibit:
  3. - 4 a.V +64y - 4a
  4. at
  5. +a
  6. 256
  7. + a y3 - 3ay +3a y -a
  8. 64
  9. 6-162 +aayy -2a) + a
  10. et 4 12-32+64 aqu 5
  11. Cst
  12. (7 -4 + 1b -b442562
  13. 256
  14. X
  15. 29b
  16. +a3y - a
  17. Lacy + 5 ay
  18. ∞
  19. 6
  20. S
  21. e
  22. 205a
  23. 256
  24. ei
  25. JX Eaay +2 ay + 205 a aeg. 0.
  26. 256
  27. Unde reduetur ad cubicam tatem
  28. q2
  29. + 5 aa + 25 a7 - 25aq0
  30. 0
  31. 69 64
  32. - 205 a.
  33. 64
  34. et pro a ponendo 16b fiet:
  35. 2 + 20bb 7 25 = 25. 49b
  36. 2 -205
  37. yb + 20b6 7- 180F87- 1600 aequ
  38. ab
  39. y
  40. vel pro b ponendo Aec fict: + 1ocCZ- 45 7 - 200C49. 0.
  41. usoris ullum termini sunt: 2r5. -1. 2. 4. 5. 8. 10, 16, 20. 32,40.50. 64. 8a. 1 a 18.160is
  42. lum
  43. cui si addas 14 10=45 (C. 34, suo Z ponendo v+1 fiet ullimque terminus =234. cujus divisores
  44. sunt 2. 3.9. 1. 13. 18527. 36. 39. 52.5F
  45. 72 78. si ses 11714 156 1B2
  46. nutdemne . restar: deverent e vular s ipsius B quibu addendo 1. fierent valores ipsius 2.
  47. 3eta tog 2. 9. 7. 10.14. 19. 27. 28 57 40153.5s. 73. 79. 82, cog. 119. 145. 157. 163
  48. 1 2 5 ∞ 12 1y 1526. 35. de
  49. quaeum soli 4. 10. 40. consentiantcum cum praecedente, itaque si aequatio
  50. + 10CCs etc est divisibilis per yqe + incc, debet dividi
  51. 96
  52. posse per Z + 2 vel Z + 5 vel Z2 + 8 vel Z+ 5o
  53. si ad _ ad 0200 adda (34, it = 166 cujus divisores et 53, quibus deme 1
  54. restant 1. 82 quorum nulliun sentiunl porcedentibus. Ergo aequatio Q 1ocCZ ecr
  55. dividi non potest per rationabem
  56. ponas aezuae = 1. debet - 1 + 10+ 45 seu 54 addi ad 200, sit
  57. = l46 cujus divsoris sunt 2. 73 quibus demendo 1. fit. 1 et p
  58. e
  59. quorum nullus consentit cum ipsis 4. 10. 40. Ergo divisie non procedit
  60. 69
  61. bd
  62. b
  63. 256
  64. 6
  65. 27
  66. C
  67. 20
  68. 205)
  69. 2st
  70. st
  71. 256F
  72. 4 11
  73. Sd
  74. c
  75. 16 00
  76. 180
  77. ti
  78. 2
  79. e
  80. 146
  81. 83.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068220:0005?run=74