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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 54r

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: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Cubic
  2. Dit 5+V -2 binomium aliquod cujus radix = 1+V-2, et dividatur sier 5,
  3. r A =1 +3,1, s- 2 43, -1, ∞2)= 28-2
  4. +5 + 1-2 6
  5. evunet 1 +V - 2, et manifertum ertprimm quotienta radicem (ubicam fore -1 +Y. 2. vocetur ergo
  6. 25
  7. binomium A + B et iperus recidum A - B; Jam Matet en requla fore, ane
  8. 2-2
  9. 2, 21Cle 1+2, 272-1, 2-2, 23 (2) , YX . 42, 2. 3, 2- 4, 2- 5 (pE. 6)
  10. -
  11. 1.2
  12. 2 12,3,4
  13. 212, 3, 4, 5,6
  14. Si tam Z denotat radicem Cubidam erit 2X, et quonjam dit l, eit
  15. qs
  16. + V1 -LL 2 ∞ 2 -
  17. 25
  18. 1+ V-
  19. 25
  20. ex
  21. s
  22. 2
  23. 20 14
  24. b- =
  25. .
  26. 243
  27. 308. 16
  28. 13090
  29. 2
  30. 6562 413343
  31. 2
  32. 282782
  33. 33480782
  34. eo
  35. +2
  36. vel - 1+ su2 3) 5+ vor 2u.
  37. 3
  38. 2-1,2, 2, 2-7 2-4, 2-5 220, 2-72. 8)
  39. 1,2.3.4,5, 6, 7. 8
  40. +NI -V= ∞2-0222222222,6 -008230452700469440630-00316686148 -00233800391. et:
  41. 9
  42. et reete
  43. aa
  44. et. reducantur omnia ad decignalia, eritq
  45. si
  46. 7011ICCI
  47. 3,8
  48. dijam iudititnatu loco ipprimo bt et habebii. Cnma in flculo eba ulstitui- ve s et ieo fent spu. 2+ ts
  49. 3
  50. 11+ V.
  52. 2+
  53. 0
  54. +
  55. V
  56. nam b aego. = V. b aequ + 2+ 25
  57. ba b aeqo = Z,. Et ita porro
  58. =∞ 2 - 1777777778 -0658420216 -0270rr 2504 -0253245912-0187040312
  59. 25
  61. 2
  62. 1+1- 2 + p - 1 - 2 ∞ 2 - 001777777778-000052673617280000024025260256-0000000 9714692944-0000000076611717952, etc:
  63. 2
  64. 2
  65. correcto calculo ob sigmamntant fier. +2 4 1c 12 - ... . 1 1 = 10vir 1g1... 12 4 .. d . ...... . .. .......
  66. Quaeratur jam humura hujus prograrionio infinitae,
  67. Sultrahatur
  68. e
  69. s
  70. 001777777778
  71. 000052673617 28.
  72. 000002903536,0256
  73. 000000129714. 64.29. 44
  74. 000000007661. 17. 11. 79. 52
  75. 001832992307. 11. 97. 23.52
  76. 200000000000,00.00.00.00
  77. iterum error
  78. Cur enim in = 1709y53
  79. et non potiu in frzogg5)
  80. 1709953.
  81. = 19816
  82. 11969631
  83. 1025971 8
  84. 1709953
  85. nam 5+ L-2 non divisimus per 136 79624
  86. 5 sed perts.
  87. c38957 7
  88. 1709953
  89. .11 4. 11 1a - 1211.
  90. Quod ducatur in e5 nempe in 1709953, et inbenietur = 3. 38856256 1 51, quod tamen circum ciaca 2 etre de
  91. reliquum erit 198167007692.88.02.36. 48
  92. 000, 201727 multiplicetur per 45 seu per 4 1.70995 fiet +3449(053 etC. Estantem 3.449. idem quod 1+ 56.
  93. sebu
  94. lot
  95. similite
  96. nam S6 est aequ 2. 449. Tamebsi ergo non prodierit 2, tamen prodiit veritas nempe 14 56. C ita
  97. demonstro
  98. 1
  99. 5+ Y. 2 est aequal. - Y- - Y- 4 + S+3 quod apparebit si quantitas utraque cubetur 69897
  100. 3
  101. 5- s.2 est aequal. 2 + S.3 S- = + (+2. Ergo 35+ s.2 + 15 - S.2 erit 1 + 16. L. E. D
  102. 293
  103. rtem
  104. Talculus corr
  105. addenda 20000
  106. 7
  107. 0d
  108. fiet: F201YN
  109. = 5000s L
  110. 201727
  111. y
  112. 0000eL
  113. 2.017
  114. 1701
  115. 14
  116. 15
  117. 201
  118. 44gc
  119. ut 2 2
  120. (- 2
  121. veret
  122. 201727
  123. 1099+
  124. E

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 54r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0107?run=73