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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 7v

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. ab abi ac +bc
  2. ab) a
  3. X aq at b
  4. (x per X 2 aqu = 1 aqu =
  5. per XH. fit _ 2oqu L 1 aqu 2
  6. X, 4b. 21 aequ. 3.
  7. X
  8. ab
  9. 4 aequ 3. Slrgu +3. naqu 2, 2t
  10. X: 5 aequ. 4 41 aqu 31 +, 4
  11. 21+3 +3
  12. 21 73
  13. 32 aequ 22 + 31
  14. 2Z +2,2
  15. 4, 3
  16. X 41 aequ5 32 aequ. - 41. unde absurda
  17. 25
  18. aequatio destuncta enim 3.
  19. sit enim 4, 3 ng 3,3.
  20. cui malo facile fuisset remedium si non fuisset
  21. destructa 3. Hac ut impedhatur necesse est
  22. sutrue cognitas intervenire comporationi at
  23. quomodo intervenient? Ecce optimam et
  24. certam rationem, aequationem datam: sed
  25. quae auget prolixtatem, iqubique faciendae
  26. quae libet forma inferiores g. initio ipsi
  27. X ascribemus 2a + 1 ab +..- a. +.. et t
  28. praeteren aequationem datam: X + p∞ + qX - Y
  29. ex altabimus per arbitrariam X-pX + ex +F
  30. ita horum ope literis incognitis adjicientur valores
  31. cogniti, item no multiplicare cubihariam licebit
  32. ex coni istis terminis producta facere, partem
  33. scrbendo sine explicatione literae, X, partim literamX
  34. exclicando
  35. si habeamus siaet. P923 possums variomodo resolvere in partes, vy. unvu partem penitus
  36. explicubimus, in altera tantum X, in tertra tantum X. in quarta nihic, ita tres arbitrarias lucrubimum
  37. X +aX 2a X 3a X
  38. nab 21ab siab
  39. 1 B
  40. ea
  41. o
  42. +aa
  43. 22 a
  44. xC q aqu
  45. et ab
  46. qu.0
  47. 4a X 5a
  48. 2246
  49. +
  50. v
  51. es
  52. Mab
  53. na
  54. 1a
  55. a
  56. 22436
  57. +5 a
  58. 41
  59. Ma
  60. 32a
  61. es
  62. 31a
  63. videndum an non brevior sit calculus, si imtro explicando atum datam aequationem formulas in
  64. X +pX + qx+
  65. X + F, q
  66. ea comprehensas irationales tandium musiplicemus tollatur irrasionalitus quo facto
  67. curcta erunl absoluta. Porro hoc fieri patet ex regulus generali steimi, et Bonbelli et
  68. aliorum, qui quolunque cirationales ita mulliplicate docent si scilicet sint ejusdem gradus
  69. ut plodectus fiat rationalis
  70. astrc vit
  71. s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0014?run=74