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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 126r

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: 0.70.

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. 125v); this page is its right half.

The machine reads it as

  1. -
  2. 1, 273, 4, 5,6
  3. 25t162412
  4. Z ) X2,27 2 4. 2326 5
  5. 1, 2, 34, 5,657
  6. 204372
  7. similiter pro extroctione radicis cubicae erens
  8. 12. 8
  9. erit
  10. -4 - 12 -24 - 3
  11. ECa -01 - 112, - 241 3t
  12. ut per
  13. 8 + 10
  14. it 123 177+ 1145
  15. fei + , - 1
  16. 115 +. 135, d
  17. 72 1 558 1724. 6 1333
  18. Eti 3
  19. -8
  20. +2, 5- 2 5, 8
  21. 1oi, 9 17. 27
  22. 12 Si
  23. .- 51
  24. 1 - 14
  25. 2,58,11 3
  26. 235, 5, 293
  27. 1237 5, 8
  28. 9023350039410 10
  29. FC L 21 312 a-
  30. 2-51
  31. a b + 2722 a b+ 2a
  32. n nominatores progressionis Geometricae triplae, et ita porro. Quare utia est in numeris adhiberi algorithmum dyadicum pro extractione
  33. radicis quadratae, ternarium pro extractione radicis cubicae. Et nihil ominus semper apparebit ratio transferendi ex una in alteram,
  34. 1 +1
  35. 1d C)) 8)50bC
  36. sit l+ e. cujus cubus l + 31 e + 3le + e. dividatur in duas partes l + 3le, et C + 3e l. ex quibus prior fiat aequal. a. posterior aequal. b. et quaeritur (7) a + b
  37. 21 0500008
  38. et 02aequ. 010
  39. m +n. aequ m + 2mn+ n. sit maequ. 1. et n aequ fiet: mn aequ, 1 + or + 001 aequ 1. jam, 2 aequ 10 fiet 1 + 010 + 001. aequ 1. 011 quod est quadr. de 1. 01
  40. 1+01 sit seu + + et 1 + 0110 + oi ( 1. + 1 + 0b1 aequ AB. t 1001
  41. 00 1 1
  42. potus sic. Maequ. 1. n aequ 000c. 100
  43. 1100 ( +qu. V + 0010001 aequ. l _ + 00010001 = 000 30091001000D1+ 0000000VVV1001000110001
  44. 3n-q
  45. 100 100
  46. 10 1000 1 +001+ 60d 00e1
  47. 42 - 4 - 5- 7-
  48. 13
  49. 410000001250000
  50. 888
  51. 0062500000
  52. P
  53. a Z aequ
  54. poihrru
  55. 0 fr 1.
  56. 0. 0 1
  57. ErDI. Q aequ ool 31 000
  58. 1s 0000l
  59. 128 1 00000b
  60. 811
  61. 004 Xi.
  62. 672
  63. 600e
  64. ∞d00
  65. 2,3-3, 3- 43.5 36,6
  66. 6561737
  67. 00+69 1403 d
  68. +10000d00000000000000
  69. +0000500000
  70. 0000000 125000
  71. 525
  72. H
  73. 6000001
  74. 1010001
  75. 1. 000000000000
  76. 00004SIIOII
  77. 0000100
  78. .0b10b1 101
  79. tt 2.7
  80. 19683, 3
  81. 1. 00l 0101001 1 lberet esse 1, 01000000300
  82. set a aqul et baqu =
  83. sint (1 = L - - +
  84. - 5
  85. 128
  86. aequ - 1
  87. 1100101 0 L0 V l
  88. 4000b+81 10
  89. 7
  90. 256
  91. l
  92. qu0.
  93. 256
  94. 0000000011
  95. 01011000001
  96. 000000
  97. M
  98. a
  99. 00000014∞ 11
  100. 0000000101
  101. 00r101 1
  102. 6
  103. 3001010001
  104. 1000001100

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 126r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0253?run=73