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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 141v

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: 0.76.

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. 140r); this page is its left half.

The machine reads it as

  1. esumenius est hic calculus:
  2. y p im +n. Ergo y F m +3mnY
  3. sit jam aequatio data intractabilis: Z3 + - pq
  4. 1 - 2, ar y
  5. 25
  6. 3n
  7. a rjo.
  8. +3, ah2 13 E.
  9. 1+
  10. a23
  11. 90
  12. a9.. (444 a
  13. collatis jam duabus aequationibus
  14. nempe A, et X
  15. ecex
  16. ex 59. 9.
  17. (8
  18. erit m+ n ar
  19. a
  20. =27 mn. (6)
  21. siat aeZ H
  22. aeri aq
  23. 27m 3TI
  24. (11)
  25. . et n , aq
  26. 27 M.
  27. qu adeoque
  28. VM + Smn + Vmn + 10mn + 5mn + n5
  29. +5 m + 2mn + 2mn + n 3
  30. mns
  31. m +7
  32. mt n
  33. m nn n6
  34. nn
  35. mn + mn I
  36. in + n
  37. unde y e smn. y. - ern Y +vi
  38. = 1 nin - imn sive uun qn
  39. 2nc 10
  40. nn
  41. Conferendo eit nn ZCa. et NnL 9Ca3
  42. y3 4 = q7 - ar 0. fiat Z pyea
  43. fier 3 Dy + ca C
  44. -qu2. 44ca
  45. ar
  46. ex terminia secundis, ut extertiis: mn 3C a-ga
  47. qe
  48. et fiet equatio 3q) +29a gra
  49. n 390 et m nep 9qa
  50. 24
  51. mari C et per aequalio: 5 1 - 2qa = y (135, a y2 (a9 5 1
  52. jam comparando: mnei 39a s4
  53. et mn 5,94’ a (5)
  54. Jam exse 36,6 12 qua sexterminis serundis
  55. et ne 9ga
  56. 4,25 m6
  57. quar
  58. Ergo ne 3ga s 429a
  59. 19
  60. 6
  61. 25)5 F.
  62. elquao: et n B
  63. 2794
  64. 4,5,0, 25F1-
  65. et exterminis ultimis collatis fiet aequatio:
  66. 1000MY
  67. 9 14
  68. 819 al 99a- 2
  69. 625m+ 17 4, 25 +I 100
  70. 12. 9. 7 11 6
  71. 631 5
  72. n + 27g a + 39a s M + 3ga s 26 99 a m aqS M
  73. 1000
  74. n
  75. sit am aequatio Tubica intractabilis,
  76. 5, 1 3Ca - 4a et (7Ca) () c a Sqta
  77. Unde compatando. es
  78. 0
  79. +9 27, quae de terminatio coincidit
  80. ordinariae et nihil inde duci potest
  81. mn i
  82. + 1nin +1ma
  83. sive y- 5mn V +5 mriv m
  84. et m’ergo eca
  85. J
  86. 13
  87. Va a
  88. Unde cu eri mn a 10 aq un
  89. 494
  90. 2
  91. et 27mn aq
  92. quem valorem inserendo in aequatione 8, fier: n + at gC. 2 B
  93. M - ar M + a8,2
  94. 2
  95. Videamus an dividere liceat aequatione y per ye oqu 100
  96. dividi per m +mn +n. I dividanus primum per men. sit: m nn + mn amu nt quam
  97. rursus dividere tentemus per man m min + mn - mn + n fm-2nn +mn +nnF
  98. in + n
  99. m = in
  100. sn +)
  101. +2nn +2tn
  102. In +ut
  103. 3nin - mn
  104. superest ut=mn + n dividi possint
  105. per m+n, sive n n - 4m
  106. quod ut fieri possit, debet esse
  107. n-m r S n + f m., sive
  108. an=fu
  109. n.
  110. co
  111. si a ma + Am
  112. Aa+
  113. J= M
  114. Ergo ex aequatione
  115. aar

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 141v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0282?run=74