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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 28v

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: 0.80.

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. 29r); this page is its left half.

The machine reads it as

  1. 2)
  2. 256+32f +29 + h aequ. 0
  3. .329- 32)
  4. 224 - 309 +h aequ. 0
  5. seu h aequ 30g - 224
  6. Ergo f aequ. 6. et h aequ 74
  7. 1+ 17f + 2579 + i6 h aequ. 0
  8. - 16 + 2409 + 16 h, aequ. 0
  9. + 16, 304 - 16, 224
  10. +480g - 3584
  11. 7209 - 3600. aequ. 0
  12. seu s g aequ. 5
  13. Ergo per 4. fit f aequ. - b
  14. per 5 fit h aequ- 74
  15. Haec Hi valores an sine errore calculi inventi sint comprobemus:
  16. f+9+1 aequ. 0
  17. 26 +5 + 1 aequ. 0
  18. 256 + 32f + 29 + h aequ. 0 8 +1 +17f + 257g + 16 h aequ. 0
  19. 256 - 326 + 10 - 74. aequ. 0
  20. =192 (256 - 192
  21. 1266 -
  22. 1266 -26
  23. 1 - 17, 6 +257, 5 ∞ 16, 24 aequ. 0.
  24. =ia2 +1285 -1184
  25. (+1285 -11847
  26. 1286 = 1208
  27. Atque ita inventis f.g. h. videbatuo posse pergi ad quaerendas e. 8. sed objint se
  28. difficultas quae nis ita pergere non sirit, scilicet inventus literarum f. g. h. valor
  29. deber et quadrare aliis exemplis quibuscunque, et ex aliis assuntis exemplis idem
  30. debrussetit inveniri valores ipsanm f g. h. sed hic reperio ex aliis exemplis alium
  31. reperiri valorem verbo gratia ips ipsius, f. Nempe ex aequ
  32. X - 1 fit aequatio 6561 + 1377f + 257gF h. aequ. 0. et ex X +1 aqu. 0. fit 14 17( 429. 169
  33. aequando has duas aequationes fit +1327 f aequ = 6561 aqu. 0 seu faigu. - 6560
  34. seu f aego . d2 cum tamen supra invenerimus faequ. - 6
  35. Itaque forte exallari necesse est aequationem ad X12
  36. 1360
  37. X X
  38. Arius ipso experimentum capiemus an liceat invenire f et
  39. per compantionem:
  40. 2 aequ. (1) 3aequ. 2 aequ. (1)
  41. 4 ce. 3 aequo (1) 5aqu. 4. ea)
  42. 5 aequ. 4.. 6 aequ. 5. aequ. 4
  43. 7 aequ. 6 a qu. 4.
  44. A
  45. X +aX +, a X +3 a X aXZ arur a
  47. +
  48. 0 aequ. a2 x. gabX X + X
  49. 0 agu - a p x 19 abz t ababX + X
  50. X +a +2a a +9a nsa rba tra
  51. 0 uqu - ab x arsa b tro X x BabX + X
  52. 0 aequ - a +2sa b6 x soab X X +3s abiX X = 10nb X
  53. +246
  54. Ratio progressionis
  55. ab ab ab rat proaonis:
  56. 8. 1, 5. 6 1960 0
  57. ab4 a64
  58. 0 (2 9
  59. i
  60. 9 14 20
  61. 1, 7 6 14 30 20d
  62. aedq
  63. H-a
  64. =ax - ∞r - 3a2X - ha 2Xt - 4a x - sd Lax. 24
  65. +81 17 (e u1 13. 77 f aequ - 8t 81 caq
  66. x +
  67. +24_
  68. 2
  69. f+9 + 1 aequ. 0.
  70. Saequ - g - 1
  71. =179-17
  72. 16005
  73. A2o
  74. Ergo rf aect = 82
  75. 4
  76. 32
  77. 64 X6
  78. 128
  79. 256 X
  80. 512 X)
  81. 1024 X
  82. 2048 X
  83. 2
  84. 729
  85. 2187
  86. 656
  87. 1969
  88. 59049
  89. 1714
  90. 409b x 53144
  91. 1s7
  92. 18)
  93. 5.
  94. - 1394
  95. + 7 37
  96. 45
  97. 1o

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 28v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0058?run=74