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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 255v

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: 0.81.

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. 254r); this page is its left half.

The machine reads it as

  1. D 1-4 1 10 10 = 12 - 26
  2. sgr (9
  3. O= 256 (55)12 +128(165)13+64(339)14 + 32 (4) 15 416(462)16. + 8 (370)17 +4 (65) 8. + 2(55)19 + 1.(11, ) 20 + 1. 21
  4. 54. 12 = - 128. 54. 13 + 128. 16b. 13 = ((128 (112). 13 = , 32. 1L. 1B = - 32. 112. 4. 14 -32, 112. 1. 15
  5. 32. 112. 4. 14 = -64. 224. 14 addatur 64. 329. 14 in ipso valore fit 64. 105. 14 = 8() 10514 -- 8. 105 (2. 15+6. 16 +1. 17)
  6. ubi est - 8. 105. 12. 15, cui addatur. 32. 112. 15 fit - 32. 427. 15. Et cum proximo -3c 7 15. 32. 427. 15 - 8. 105.6.1b - 8. 105. 1.17. Huic
  7. (abE
  8. 315 addatur +32. 463. 15 ex ipsu atore fit 32. 36. 15 - 8. 105. 6. 16 -8. 105. 1. 17. Explicetur 15, fit 32. 36. 15 = 16.72. 15.
  9. et fit 72 ab. 15 = - 72 (32. 1b + 24. 17+8. 18 + 1. 19) sen quod addendo ad - 8. 105 (5. 16. + 1. 17) filt - 144 (16. + 35) 16-74 94 1)17
  10. 72 (3. 18 + 1. 19) seu 14. s 16 = 16. 9. 51. 16 - 8. 321. 17- 4. 144. 18 - 2. 36.19
  11. 16 14 Cui addatur desiduum quationis
  12. 51 35
  13. 107 459
  14. du +961.
  15. Fiet
  16. +16. 461. 16 +8. 399. 17 +4. 154. 18 +2. 56. 19 +,10. 20 + 1. 21.
  17. + 32. 16 +80. 17 + 80. 18 140. 19 + 10. 20+21
  18. O a. H. p, utai cofiientem B +, Pi a PiB. li Ci + P. Pr poripur P tetc.
  19. o=
  20. 3 + (.92
  21. 95 4.94 + 9. 93
  22. 197 Ligb
  23. 0 = 1191
  24. 1. 2. 3. 4. 5
  25. 0 = 11. 93 +2. 1.92 + 4.
  26. O = 1. 1. 95 + 2. 2.94 + 4. 1. 93
  27. 9b = - 2.
  28. 0 = 11. 94, + 2. 3.9b +4. 9.95 + 8. 1. 94
  29. 0 = 11. 99 + 2. 4. 98 + 4. 6. 97 + 8. 4. 8b +16. 1. 95
  30. 0 = 1. 1. 9. 11 + 2. 5. 950 + 4. 18. 99-+ 8. 10. 98 + 16. 5.97 +32. 1.96
  31. sit C 97 +. 95. 4- 94. 195 + 494 - 2. 1. 4. 1. 92 seu. 95 = - 4 F 2. 2 94 + 4. 1. 2. 1. 92
  32. 199 498
  33. 1. 91 9. 9u
  34. 97 = 2.396 + 4. 3. 2. 294-4. 3 4. 1. 2 +92 seu 97- -696 + 4094 - 96. 92
  35. 95 = - 4. 94 - 4. 93 = D - 2. 94 - 2.93 Ergo 95 - 0 in D
  36. 6.
  37. 8. 1.
  38. et 34 = 1 35 = - 4 36 = 4. 5 = v 37 - - 4. 36
  39. 310 + 1. 2. 3. 4
  40. 1.2
  41. 1. 2. 3
  42. I. 35- - 7 42 -
  43. 37 = - 1. 2. 3. A
  44. 3. 3- +. 3. 2 -+1 35 =-
  45. 34 = r 1. 2. 3
  46. de-
  47. 38= , 4. 5. 6. 7 - 1
  48. 3I = 4. 3. 6.7. 8. 9. 10
  49. . 2. 3
  50. 1. 2. 3. 4. 5
  51. 4. 4 - 1. 4 - 2 - - 4
  52. 36- +
  53. 8. 9. 10
  54. 1. 2.3
  55. 1. 2.3
  56. 39- 4. 5. 6. 7.8,8
  57. p. 2. 3. 4
  58. 8. 8. 1. 8. 2 = 8. 9- 1. 8.2.8.3. 8- 4. 8- 5. 8-6 = + 70 - 8
  59. 6. B- 1. b -2 = 1. 2. 3. 4.5. 6. 7
  60. 1. 2. 3
  61. 6. 6 -1. 6 - 2-- 20
  62. 36 = 5. 5- 1. 5u 2 = + 10, 37 = - 1. 2. 3
  63. 1. 2.3
  64. 7. 7- 1. 7-2. 7-3. 7-47-5.7-6 - 35+1
  65. 1. 2.3
  66. P. 3. 4
  67. c. S.3-+10
  68. e
  69. 39 =
  70. 2.3
  71. X0 X- 14X. 2
  72. 3γ = +, - 1. 2. 3
  73. 1.2. 3, 4. 5. 6, 7.
  74. X. X - 1. .. Y-6.+
  75. 1. 2... 7
  76. ubi = est L in castu X
  77. X. X - 1 . . X- 14 X. X- 1 X- 18 X. X
  78. 1.2.. 15
  79. 19
  80. XHI. X. X -1. . X 13, etc
  81. lationem invaniendi inter numerum constantem opsorum 3X, 3XH, 3Xt
  82. 3XF = +, XH. X. X - 1 .. .R 741. X. X- 1. , X YI. X. x -1. . X- 9-
  83. Et ita habetur expressio generalis pro 6
  84. 1. 2-.
  85. pro D, fiet 2 22- 23-
  86. 25 4 + 4. 4. 1. 4-2 = 0 36 = +.
  87. 1. 2. 3.-. 15
  88. 24 - + 2. X +3 - 3.3, 1. 3-7 = +2
  89. ∞5.5- 1. 5-2 +
  90. 1.213. 4. 5
  91. Et generulitar 2x = 2 XH = f, X = X. X- 1. X - 2, X. X. L. X - 2. X +3. X. 4
  92. po
  93. .
  94. .2. 3
  95. 1. 2. 3
  96. X. X -1.. X -6 + etc
  97. 1. 2.. 7
  98. Columnae numerus 2, Et 2da, dtia, ita etc. signifieltur per y; locus nea
  99. 1. 2.
  100. paris
  101. J. 2... 23
  102. ubi membra evanescunt cum X est minor quam ultinus in numeratoremembri subtrahendus
  103. X. X - 1 .- - X-10
  104. 1. 2... 11
  105. 1. 2.. - 11
  106. 1. 2. 3
  107. IX 2 eut 4. habet X = 2 - 1 - 8
  108. pro comua e codtens vinionum, et A prigum Ex habebit X = 22 in 6 primu coefficiens est quaterniorum,
  109. octonlionum
  110. us
  111. pro Z fet 4X = +. XC. XCX. X- 1. x -( - 2) X. X - 1. ~.. X (~C) r. X 1.. X (=
  112. in D primum
  113. seu primum X, habebit X = 2 = 4
  114. 1.2.. (24 1 -1) 1. 2.. (3-1
  115. + 1.2.. (2-1)
  116. R yari = +, X. X. Ia- (2 - 2)a X. X - C.Z. B - 2) X. X - 1 u. X. B 2) X. X. 1 . ,. X- ( - 1)
  117. atque ita tandem habobitur expressio generalis pro columna y
  118. 1. 2... (3 r1 - 1)
  119. 1.2... (27 - 1)
  120. 1. 2-. (27-1 - 1)
  121. 102... (2)12 - 1)
  122. ubi est + in casu X imparis, et F est - in casu X paris
  123. = 2. 5
  124. 2 172

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 255v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0510?run=74