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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 254v

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. 255r); this page is its left half.

The machine reads it as

  1. C = O1 l - 2t6)
  2. (() = O + l (1 - 20) (1) = d + l0 (1 - 28)
  3. O (07) = 0D + 10 (1 - 2) H + 1O (, - 13 +407
  4. +1D (1 - 2()
  5. - 2C
  6. e) (0N) 03 - + lOC tOD + 1OF 2lOD 2t0 + (9 l0D)
  7. + lD = 215
  8. OD) ∞D - (10 210r + 10 =10D (F4 107)
  9. 216)
  10. +0
  11. d(OD) = OdD + v10 + dod)
  12. E d0 = 1 - 20
  13. )F21O
  14. (CD) - Or = 10, 1- 20
  15. (5) = D=pC- 2pOD d8 O, 18
  16. (C)(D = OD + p C(= 2pO D) +BD(F p CF2 OD) - 4pOD( 1pO 140p
  17. 2POP(= 2pC) 2p9)
  18. H
  19. Bea + 83b + 84 abc + 85 ab cd + 86 abede + erc
  20. (() = C) + P = 2BC)
  21. Ergo (1)D) - OD = pD. 1 - 0
  22. Hinc + 82 a + 83 ab + 84 abc + 85 abcd + abcde 22 ab + 237 abc +2 4 abed +25 abede
  23. (OD = OB: D- 0D
  24. Hinc 82 =9 83 - 84 13- 22 85 = 24 -23 +22 86 =25- 24 +23 -22
  25. +
  26. 232 ab +, 83 abc +84 ab cd +, B5 abcde
  27. jam supra 22a = 23 a b + 24 abc +25 abcd +26 abcde = ia - 2 ab + 4 ab, - 8 abd + 16 abedp
  28. 84+83 =23 85+84-4 ea
  29. (8 = D, : p= C = 203
  30. fit 2
  31. 82-0 83 =1
  32. 2. Br ab +2 63 abc + 2.84 abed + 2. 85 abcdC
  33. 23 = - = 24 = 4 -2 = 2 25 = -81+5 = - 2
  34. 84 = -3 85 = 213=5
  35. 22 =1 23 = -2 24 = 4 -2 = 4
  36. 3 =0 82 =0 83 =1 8+ = - 4 85 = 2+8 = 10
  37. 2 =X
  38. 25 = -8 +8 =0
  39. 86 = 0 - 20 = -20
  40. 8 92 =0 83 +2. fr = 22 84 + 2. 83 = 23 55 + 2.94 = 24 56 + 2. 85 = 25
  41. 23 +2. 82 = -2 24+2 83 = +4 25+2. 84 - -8 26+2. 85 = +
  42. 83 - 23 = 22 +2 84 -24 = 25 - 4 85- 25 = 24 +8. 86-26 = 25
  43. 22 = 1
  44. 83 = 22+23+2 84 = 23+24 -4 85 = 24 + 25 + 8 86 = 25+ 26 - 16 87- 26+17 + 32
  45. 83 = 22
  46. 84 = 23 - 2. 22 85 = 24 -, 23 +4. 22 86 = 25 - 2. 24 + 4. 23 - 8. 22
  47. Hos duos valores aequando fit
  48. 23 = -2 24 = - 2 + 4 = 2 25 = - 2. 23 + 4. 22
  49. 27 = - 2. 25 + 4. 24 - 8. 23 + 16. 22 = 32 28= 2. 26+ 4. 25 - 8. 24 +16. 23-23. 22 +64
  50. + 2. 27 = - 4. 25 + 8. 24 - 16.23 4 32. 22 = 64
  51. popime paecedentis affectum signo hinas
  52. in col. 2. Coefficiens in columna secunda est duplum summae coefficientium proxime praecedentium affectum signo
  53. 25 = - 2. 23 -2. 24
  54. 26 = - 2. 24 -2. 25
  55. 27 = - 2.25 - 2. 2
  56. incolumn. I Coefficiens in columna prima est duplum coefficientis in toto
  57. 2.85 = +16-26 Ergo 25 - 2314
  58. 26- 24 +25
  59. 285 = 116 +, 24 +25 -. 2. 82 -2. 83
  60. pr .. 2. 84 - - 825
  61. 85 + 2. 84 = 24 = + 4 - 2. 83 Ergo 85 = + 4 - 2. 83 -2. 84
  62. per b 2. 84 =- 8 + 23+ 24
  63. 8b + 2. 85 = 25 = d - 2.84 Erg 86 = - 8 - 2. 84 - 2. 85
  64. 87 = + 16 - 2. 85 - 2. 86
  65. H . 1
  66. 82= 0
  67. 83= + 1
  68. 84 = - 2 - 2. 82 -283
  69. 85 = + 4 - 2. 84 -2. 84
  70. 86 = - 4
  71. (6) (0) 27 = 2. 86- 52 0- b y. 940 + c y get + d y. 9r2
  72. Ergo 28 = - 2 (26+27) seu D7 -. - 21) - 13
  73. seu () = - 2CC)) - 20
  74. seu Nota coefficiens in columna se Hinc 56 = X = = 27 - 16
  75. +1. 28 = -2. 2+4. 25 - 8. 24 +15. 33 - 32. 22 +69
  76. + 129 4
  77. 22 =1 23F2=0 23 = -2 24 = - 2. 22 +4 25 = - 2. 23 +4. 22 - 8 26 = - 2.24 +4 23. 8. 22 + 16 in casu yeX an
  78. 22 = 1
  79. 7 =

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 254v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0508?run=74