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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 368r

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. 367v); this page is its right half.

The machine reads it as

  1. sit
  2. C
  3. 1Z. du = 10Z + u V,: 20Z + 21V
  4. et v 40+41X + 42X) + 43Xy
  5. 50 +51 Xt s2 x +53Xy
  6. 5
  7. fiat Z = 30F3IX + 32X +35+y 3)
  8. 1
  9. 2. fuit du 848 0d
  10. et du =8d8- 9de
  11. Ergo dz. d v 8d0- 0d8; , 9d3- D+8 et 10Z + 1V, : 20Z+ 21V 100 + 18, 3 2061
  12. (10)
  13. Ergo ex 1,8, 9 fit 8d0- Cd9:, 2dD- 2d8 = 100 + 18:, 200 + 2D
  14. si
  15. 19: dD = 10O + 11D, :, 200 + 21D seu 200d0 +2D d0= 100dD + 1D d D.
  16. fret 4 = 3 31de + 2. 92. X dx 4+ 33 Xdy
  17. ydx
  18. ydy
  19. Odo 2 3031 dx + 2. 90. 32 Xat 30. 13 Xay
  20. + 31. 31 431.31 + 231 32X dx + 2. 31.3 E Xydx 3 R
  21. 42 35
  22. X 31.32
  23. +3133 +31.33 X dy
  24. 1
  25. Y. 2. 32.32 XdXx + 2. 32. 32 Xydy +y Xdy
  26. pr
  27. x 33.33
  28. +31. 32
  29. +3233X dy +32.33X y dx
  30. 4. 2. 32.33
  31. odem modo si adjiciamus reliquia membra aequationis t explicata
  32. habebimus in summa terminos decem arbitrarias vero 30, 3, 32 33
  33. 4,41, 42, 43; et 10, 1, 20, 21. adeoque sufficientes, ut uilibet
  34. ut productum curilibet datae simili, ejusdem gradus comparetur
  35. Quod si voluissemus curare homoeoptosin haberemus in O arbitrarias
  36. et 8 ut et in D, daret 16. et cum 10, 11, 20, 21, fierent 20
  37. Et ita eaequatio data
  38. et fermini, fierent similiter 20
  39. cum rit posset comparari.
  40. videtu res procedere, et si sollum sit.
  41. exferentralis
  42. proposite est curva Cu aequatio a coriaaco halis vaco
  43. aals d+ re a + aacd d= raa de quaqe aegs
  44. sochu
  45. Si ego Y = 70 +71X + 72 Xy +7357
  46. E1n
  47. b belyik, 8
  48. 11 43.604
  49. 771. 72Xdy + 7C. 72Xydx 45 7 1.73 x r71 7 Xyayinnxi lus haptigu
  50. 71. 73
  51. +71. 72
  52. 71. 73
  53. 1273. 7 111
  54. gog L A 3X dy +2.p 21X
  55. fiet 2 d - 1 70. 71Ax F 30. 72 Xdy 12. 70. 73 Xdy 4 71. 7 vlx + 3. P1. 1. Xdx ry. qua tust tipdus A ax + 2772 F1
  56. 71. 71
  57. 71. 71
  58. 20 = 23 60 s1. + 960 5 +3. 606
  59. e
  60. 4
  61. aacod =aa, 60. 71 460. 72
  62. +61. 71
  63. aa (dco =dua, 61.70 61. 71
  64. n
  65. n
  66. +210. 73
  67. +b1. 71
  68. 61. 71
  69. podx +oixdus +82xd
  70. 13. B. 72
  71. +660.61 +5. 60. 67 +3. 60. 6 + 3. 6s +36 +6i ubi
  72. 2. 71. 73
  73. +61. 72
  74. 2. 61. 73
  75. s1. 72
  76. 42. 61.73) +61. 72
  77. ∞61. 73
  78. nepe est mone
  79. +83 xyax 184 X dy
  80. 61. 73
  81. 195Xay 186X pay . 9 Xy 1 B 2 B
  82. C9)
  83. Equalionis 90 + 91X + 92 Xy + 93X 9AXy +95X 196X9 +97X y + 982 =S
  84. 98- 89. 82 -31 quae proinde etiam succedit, ut patet (einus disralis est. 91q. + G2Xdy +293K 794X) L4gXx ib Xyly 13.91X X97Xdy + 4. 98X x = 0
  85. du
  86. sit c0 = 6C e + 60 + 61_ et 1= 70 + 7IX + 72Xy+ 73X +4 X
  87. et WPdP = 70. 71dx +70. 72 Xdy f 7073 Xdx
  88. +71. 71.
  89. +71. 71
  90. yox
  91. dy
  92. 102
  93. quim lle to ustiatius
  94. ur
  95. pay
  96. quaeratur conferantur aequ. 7 et gR ut quaerantur 90, 91, etc. fiet 9 = 80 92 = 81 93-82. ypara
  97. 94 = 83:2 = 85 95 = 84 96 = 86: 2 97 = 87: 3 = 89 98= 88: 4 3 lt pocet
  98. tantum ergo in aeg. 7. opu est esse 83 = 2.85 et 97 = 2. 49. 9b8) = 3. 89 fil 3. )15 = 3. 12. 73a
  99. eti fu i ( 8d = 1.95 (t porere oportet 60 a osi pendicus snum socla est
  100. aero
  101. et ergo per se suac e 151.7 3.61 Y. 2
  102. 2. 72 seu 72= Z.
  103. ad a M
  104. y1t73 =
  105. bulla hobuctur ie cer ntus ab ioi lata tenncat 6oti
  106. sed video sun nihilomun
  107. prodire,
  108. in propte
  109. itu
  110. ex hoc

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 368r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0731?run=74