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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 154v

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: 0.83.

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. 155r); this page is its left half.

The machine reads it as

  1. loX + AX + n =
  2. 10. 30 X + 1. 3oX + 12. 30 = Coinced. cam ( 20. 40 X + 20. 91X + 21. 41 -.
  3. 20 + 21 =0
  4. 40 X +41
  5. 20X +2IX +22 =0
  6. +0X r41
  7. 10 X + uX +1 =0
  8. 30X 17+C
  9. 10. 30 X + 11. 30X4 12. 30X
  10. 4 1091. + 11. 31. u + 12.
  11. 1073 + uX +12X + 13
  12. 30X +3
  13. 10.30x = 11. 30X + 1230X +13, 30X
  14. +10. 31X F 11. 3IX +1231XF131
  15. 10X+ XFLX LBXL4
  16. 4 30X+31
  17. 1030X + 11. 30X4123OK + 13. 2X + 1t. 30X
  18. + 10. 31. 411. 31.. + p. 31. 4133, - +1.3)
  19. 28
  20. Et itue forio
  21. co. 40X + 20. 41X + 20. 42X
  22. + 21. 40X + 21. 41 X + 21. 92X
  23. + 12. 40 X + 27. 41 X +2
  24. 40X + 4IX +42X+43
  25. ∞X + 21X +22
  26. 20. 40X 120. 4( +20. Ae X + 10. 13X
  27. +21. 40. 2.91.. 2. 42 - + 2. 43X
  28. 2.40- 22 4 = 2042. +22. 43S
  29. Ad reddendum calculum uniformem possermus pro 10, 1, 12, 13, 14 ponere
  30. 11, 12, 13, 14, 13; et pro 40, 41, 42, 43, ponere 42, 43, 44,45, et ita pro
  31. novissimis duab quasi fuisset 11 X+ + 12X + 13X + IX Y15, et 42 X + 43N + 44X + 45
  32. Et ita pro duabus aequationibus novissimis scribemus:
  33. 1P. 20 X rr2. 30X + 13 30X p 1430( 4r5 30 X L 1 30
  34. urgo X + 1230 Xti3. 30 X+14. 30 X +15. 30 X + 6. 30 X2
  35. 103] - 11.31 .. 12. 31-. 13. 31. 14. 31.. 15. 31.. 5
  36. 2agX +. 4) X 42o qat2o. qs X t20. +bX 120. 3 X) - 0
  37. 21. g1. 21. 42. 21. 47. 21. 44.. 21. 45. 21- 4
  38. 22. 40. 22.41. 22. 42. 22. 43. 22. 44. 22. 45.)
  39. ubi 10, et 16 et 40 et 41, et 4b et 47 quivalent nihilo, tantum tamen
  40. tantumque adhibentur ad servandam uniformitatem calculi
  41. Fortasse tamen hoc supplenento non erit opus, itaque consideremus solas aequa
  42. tones dextras, quia in illis incognitarum numerus crescit, qui in sinistris manet,
  43. et sit 20.40 X + 20. 4) X + 21. 41 ( 50a X + 51 a X + sea
  44. 21. 40
  45. et siet 40 = 50a :20 41 = 52a: 21
  46. unde _ 20. 20. 52 + 21. 21.50 = 20. 21. 51
  47. 20. 407 + 2t. 40X + 22. 90X
  48. E ~ solx + siX + 52 X+ 53
  49. + 20. 4 X + 21. 91X +22.41 b
  50. 30 = 50: 20 4t = 20. 40 f 20. 4) X + 20,q2X.
  51. 21.40
  52. + 212X
  53. 2 soR Ns X rIXESIX +54
  54. 22. 40 5. 41. +22. 42
  55. 40 = 50: 20 42 = 54: 22 42. 20. 20. 41 + 21. 50 = 20. 51 21. 12. 41+ 21. 54 = 72. 53
  56. fit 41 = 20.51 - 21.50, : 20.20 = 22. 33- 21.54,: 22. 22
  57. 202.G4 +,22. 50 +20. 21. 22. 51 - 21. 21. 22.50 = 20.22.52
  58. 20. 54 + 22. 50 + f 20. 51 -2150 +- 22. 53 - 21. 54 = 52
  59. 2.20.20
  60. sad in his non satis apparet ordo.
  61. 2- 22. 22
  62. 20. 42 + 21. 41 + 22. 40 = 32 20. 43+ 21. 42 + 22. 41 = 53
  63. 41 = 5i = 20. 42 - 22. 40, : 21 = 53 -=20. 43- 21. 42, : 22
  64. fil 22. 52 - 20. 22, 42. - 22. 22 40 = 21. 53 - 20. 21. 43 - 21. 21, 42
  65. seu 42 = 22. 528 = 21. 53 - 22. 22. 40 + 20. 21. 43,:, 20. 22 - 21. 2)
  66. 20 ve (2091 X + 21. 41 X
  67. 20. 40 X + 21. 40X + 22. 40X
  68. + 20. 41. . + 3. 41.. + 22.41.
  69. 20X + 4X + 40X + 41X142
  70. 20X+21X +2
  71. + el.40 221.tes
  72. +22. 40. frc. 41

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 154v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0308?run=74