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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 37r

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: 0.82.

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. 38v); this page is its right half.

The machine reads it as

  1. 25 Maji 1678
  2. X aequ. a.
  3. X aequ. a + 3ab.
  4. X’aequ. a + 3a b + 6 abc.
  5. X aequ. a + 22b + 6aV + 12 a bc + 24 abcd.
  6. ab aequ. y. abc aequ. Z.
  7. c120abcde
  8. Xrqu. a + 5 ab + 20 ab + 20abc +30a b + soabed
  9. abcd aequ. xaqu. arbabtab3 3b+0ab 160 a b7 120a bedrgoab
  10. 00abid.
  11. 60 a bcd e+720 abedes
  12. Neducendae omnes fornae ad has tantum: X. V. Z c0. earumve potestates
  13. aut rectangula.
  14. a aequ. X - 2y.
  15. ab cogu. ab q aequ 3X - . a aqu. X - 3yX +9
  16. ab aequ. ab fier: _ X = abe- 1 ab- ab0 2co
  17. 49
  18. +2Cd
  19. X aequ. ax + 2abX aequi a +5aeb +6Z
  20. N aequ. a X + 2 ab X aqu.
  21. ab + abc (aequ. y a) aequ. yX - 25.
  22. C
  23. 2ab + a aequ. a, 4 aequ. X- 4 yX+ 4y
  24. Denique + 4ab +6ab + 12abc aequ. X = 24 c0.
  25. a aequ. (3- 3yX + 37X aqu. ( OyX +4y - 2a
  26. ab
  27. a +ab (aegu. Xa) aequ. X - 3yX +3ZX.
  28. ab + 24b + 2a bc (aequ. X Ab) a qu. yX - 37X
  29. ab aequ. 3ZX (+ yX - (4y + 2ab lequ. (y X(2y - a bc aequ. yX - 3ZX- 2a0- ab2
  30. (10
  31. a Ergo (9X - 2y = a b0 aequ. (y∞ - 3ZX - 2a b - 3) a bc
  32. Ergo expriori 2a b aequ. 2y - abc - 37X post equ 2y
  33. musus (3ZX (+ yX) - 4y + 2a b aequ. (yX 3 Z∞ - 2 a V - 24 bc
  34. Ergo Hae b aequ. 2y - a bc - 3ZX
  35. anserantur valores reperti in aequ. 5. fief: ex qu 8 agu. 13
  36. at 7 aqu. X2 (= 4yX (+ (Dy) = 2y ( a b d + 3ZX)
  37. +a b H
  38. 6ab 1
  39. 12abcr
  40. aequ.
  41. XP. 24c0
  42. 4yxy
  43. (14)
  44. (= abc)
  45. 6
  46. vi
  47. 1
  48. set
  49. =Gabd (9X
  50. Vor
  51. 1 aebc
  52. aequ. X+= 24c
  53. Ergo 6a bc aequ. X3- 24c0 +3y +6ZX
  54. 5)
  55. s
  56. 29
  57. per aequ. 8. 13
  58. per aequ. 10
  59. Ergoita b aequtGy = X + 24c0 (-3y - (62X (= 18Z X)
  60. Debet esse error in calculo, nam hinc alioqui sequeretur alioqui
  61. omne X dividi posse per 3. Quod labsurdum estt.
  62. (16)
  63. Rectius ab aequ. Y - 2XZ. quae substituendo in aequ. 3. fiet at aequ. X 4yX (9529, 4x7
  64. quod et verum esse scio. Ergo per aequ. 2. fiet a b a qu ( 3 7X (1Z∞ (x yX - 2y- ( Z
  65. Ergo a b aequ. yX -2y = XZ. Ergo per aequ. 1. fiet: a bc aequ. yX ( 29, (y X 2y + xZ
  66. quod verum esse est, si sint tantum tres literae, a. b. c. sed quando dantur plures tunc
  67. ipsius co. non debermus oblivisci. Ergo abc, erit abc a - abcd seu XZ- +co
  68. Ergo abc aegu. XZ- 4c0. et ab equ abe ab
  69. a b aequ.
  70. 15
  71. 2
  72. +3k
  73. per aequ. 13
  74. elatur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 37r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0075?run=74