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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 118r

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: 0.79.

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The machine reads it as

  1. = b +c+ d.
  2. obea
  3. +C
  4. +
  5. b+c + d
  6. bc + bd + cd.=
  7. +d
  8. d
  9. c. + bd. + cd
  10. bet vatell. bea
  11. bcd
  12. bc. + bd. + c0
  13. id
  14. bvera
  15. + c d
  16. Hypotn.
  17. bac = - ca d
  18. m, est excess.
  19. bc. + bd. + cd) = = 2r bcd. + b + c. + d)
  20. b + c + d
  21. b + c + d
  22. 6 + c + 3)
  23. Demonserat. Synth.
  24. bc. + bd + cd
  25. b + c + d = = 81 aaa F 243 maa
  26. 27 bcd. + b + c. + d
  27. 21omma 1 sammm
  28. b + c + d = = B1aaa + 243 maa
  29. b+c+ d FZi6mma + 54 mmm)
  30. bc. + bd + cd)= - 27 bcd F b + c + d
  31. + C + d
  32. Consectar. 1.
  33. 6 + c L d
  34. b + c + d
  35. + C +d
  36. b F C. + d
  37. Consectav. 2.
  38. Consectar. 3.
  39. bc. + bd + cd = - - 3bcd
  40. hMh = D
  41. Demonstrat. Synth.
  42. m = n -- t B. (∞)
  43. X3mN
  44. 2mmn = 3mnn
  45. . 2mnm = 2nnn
  46. Lmmm. FEmmn = 3mnn 1 Znnn
  47. oladathomaa tgomma remmn
  48. 81 naa F gomna +24mmn
  49. +Ionna + 9 mnn.- commun. addend.
  50. dinaa 1 gomna + 27 mmn
  51. + 18nna 1 omnn
  52. FBlaaa. F 16= maa 1 gomma + 1Emmm
  53. + Bi naa tgomnargmmn
  54. + ronna tIEmnn
  55. + Znnn
  56. + BI naat gomna t2 minn
  57. + ionna 1 omun
  58. quod el.- Blaaa F 162 maa F gomma F 16mmon
  59. bc + bd. + cd) bc + bd + cd) = bcd + b. + C. + d
  60. d Lc + d
  61. +c + d
  62. b+c + d
  63. 388
  64. L + Sed .. BIaaa + 16Z maa. + gomma + 18mmm
  65. erat
  66. demonstrandu.
  67. bc + bd L cds = - bcd + b. + c. +d
  68. .+ C F d
  69. 2
  70. t 8inaa + gomna i zammn
  71. + 18 nna + 12mnn-- 27 bcd 1
  72. + 2nnn
  73. bc + bd + cd) 2, bcd + b + c + d
  74. b + c + a
  75. +c + a
  76. quod
  77. evat demonserandum
  78. Propos. 3.
  79. h 3f Bhhh
  80. 82
  81. B = 3f2
  82. Propos. 1
  83. a, a 1 m, a 1 2 m
  84. am a+mtn
  85. Hypoth.
  86. a
  87. bac Lcad
  88. BIaaa L 162 maa 1 gomma + 1ommm.
  89. + c -+ d
  90. am, a m 1n
  91. Hypoth.
  92. cn d
  93. M. de, sic excess.
  94. m Ln
  95. bc + bd. L cd
  96. =35
  97. bc + bd+ cd
  98. + b.
  99. +c1
  100. 27bca F6 tcF a
  101. 6+c d
  102. t
  103. m, n, sut extessi
  104. m = n
  105. bc. + bd + cd)
  106. +c
  107. +c
  108. + d
  109. Bemontis
  110. a; = a + =, M.
  111. i 2a, a -+ 15 LM...
  112. 27bcd
  113. a
  114. Hujus theorematis demonstratio, eadem est cum pra
  115. cedenti, nisi quod magnitadines, quae ibi maioves
  116. scent, hec contra minores esse debeant.
  117. d

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 118r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0235?run=74