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Leibniz-Handschriften zur Mathematik LH 35, 5, 17, fol. 3r

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. 4v); this page is its right half.

The machine reads it as

  1. demonstrativio.n generaliter pertingre licoat, eundo per exemplo particularia simpliciora.
  2. a +3 b +2ab + B, 1 c + 2bd + d.
  3. Ex duabus posterioribus aequationibus: a
  4. sive 27b) 8 (d3. et C 343 3ab
  5. a C. et 3abp 2Cd unde 3ab +b
  6. 9b∞ 2cd
  7. d adeoque C ad P. in triplicataratione id ad 3b.
  8. 27b3
  9. =. Ergo cpj 2ad. et cp 3aeb. Ergo 4 p d , 9 a b. seu 4d7, 9b a
  10. adeoque a a p. et = 8d3
  11. sit ap4.
  12. 2763
  13. (a+3 a bx hab +b3(C72Cd + d 9aa bb, 9bb
  14. ergo craatb+ 2a p9 eg res nonc + Ccg2a a fop7
  15. possiatis sa p4
  16. c78 eut 4⊓ d seu 6464. et 3 16ab D c8d. ergo
  17. 9. 16 a b
  18. ex de 3b. et b. ponere possumus B1.
  19. O8CD Ergo api 4d, id est D 9 d 14. et c ) 27d
  20. (27)
  21. ergo asi gei in loum ipsarum a. e c. in reliqua aequatine substituendo vntorem
  22. si sit generaliter:
  23. 3.4 de N + b s d seu ad 4d + 363 p, 3d. seu d13627oassundum.
  24. 4) +Z a b) + 2, 21 a b + Z2. . a
  25. -212
  26. d) vivat C d
  27. 132,3
  28. et.
  29. AB X. A _BC, y.
  30. DC H P.
  31. B
  32. A(B) HX+ c.
  33. TBp, t.
  34. ax y3.
  35. cor 3X A
  36. B(8)17 co.
  37. (Bt, y + I.
  38. co. seu t
  39. H X
  40. a 1 c
  41. a radras (y S yX + N
  42. 9r. A F 3) N +S. et pro ponendo ut, fec A H 2y
  43. 3V p 4 y quod est absurdum.
  44. fier: (∞ ( 3 X co 3XCO + Wo p (+Fy), 10y3 +10y N y + A
  45. a seu =
  46. seu tr
  47. 9 Y N p 2YA + A3, seu 3y p4A 9y +, ∞ 3y+ A.
  48. . seu
  49. bX
  50. Eugns Y , 3X t. et t,, EX. et Cop
  51. Ergo 5yi 13+ X. Ex pF. dF c. Ergo
  52. sit aequatio quae cunque
  53. X
  54. + di
  55. X 3 X ( (F 3X Cd
  56. + DX b + 2 Xcob + co b)
  57. +dc
  58. X+ bxy +C
  59. 5X
  60. co. ercopi
  61. 3yH A
  62. V + OY +f. pro X ponatur X+ C0, pro Y, Y + A, fier
  63. V yA (+ N)
  64. r1ye +Xe
  65. pro y
  66. .. cy
  67. d. Unde patet regulam slusii tam esse facilem
  68. demonstratu, quam Methodum Fermatii de maximis
  69. et Minimis, imo ex ea statim resultare, cum absunt Asymptote
  70. ax AbX + cX + d, d es + ey +55. DYX + hyX + l yX po sit pro X, sit XNC.
  71. HX
  72. 3x0
  73. 3. 3to
  74. b. X
  75. 1 10 d
  76. - 2X0. co
  77. .10
  78. red
  79. 5C3 140 Syx. RyX hy.
  80. 3a6. et cp 3ab p, 8d eii 16d 881 b+a
  81. 5bH 20
  82. dei
  83. fiet:
  84. 2763
  85. 3b1
  86. ny iX
  87. PV2Y
  88. qy X3
  89. eon ba
  90. BPSX + hyx an
  91. SXV
  92. os
  93. 100
  94. hy ha
  95. ter ita
  96. propset sit ytA
  97. 8yc
  98. 9X A
  99. 92C
  100. 13a
  101. Du d7 30
  102. - 1 1
  103. autoqu et
  104. Zd bpue a
  105. veq seu
  106. seu r vd
  107. X1 2 H =. Ergo 2V
  108. 2X 1)
  109. Nimirum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 17, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068035:0005?run=73