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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 201r

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: 0.73.

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The machine reads it as

  1. d
  2. C
  3. aX = XK X 2XXaV +aavV - EXXaa +2a
  4. sit X X = (aa vv + 2aV, :, 2aa + 2 av)
  5. e
  6. it dx a +X) = XCF dx, XX -a0- aa ubi solum dx est
  7. cationale si per v explicetur
  8. v V + hvV + fP = vva2
  9. vD + h∞ + f = vZZ
  10. L= 2 2 - 3
  11. _ V. v + vB a Vav + AbV = Sa, Yv +
  12. V(0V + b) = 10A + 1V F 12 bV L 13V + 14 V etc
  13. p+ ab = 16 1NVV + 2. 11. 12V + 2. 11. 13V + 2. 11. 14V + 2. 11. 15V etc
  14. + 12. 12V + 2. 12. 13V + 3. 12, 14V et
  15. = ab 1=0 210 12=1 caetera destrnenda, sit 11, 13, 15, etc =0
  16. a
  17. ss
  18. 16L
  19. vat
  20. IICnF 2 P. 8- l. C- 2
  21. az + abb. (e) 6b + aZ = bb tebo aZ +e, bb
  22. 1. 2
  23. yy
  24. aH
  25. Ergo (2) bb taZ = b + = b, aZ aZ, E b, aa ZG, b, 2
  26. bb 12
  27. (bb + aZ) = b + L = aZ - 1. 1
  28. l.1. 3 1
  29. 6
  30. 1.2.3.
  31. 2 2aL-2
  32. 1. 2. 3
  33. -3 3
  34. Aqe
  35. 232 6
  36. 1 1
  37. 1. 2;4
  38. a
  39. aa72+
  40. + l. 1. 3 L Y
  41. 1.2.3;Gb
  42. +bb) = b sx = 1 = v lb - 1. 1 V sad erc.
  43. 2122 ba7
  44. L 1.2.3.4 b
  45. 1.2;4 6
  46. ex
  47. manente
  48. 6. + (=Ca) logxb. Ergo hoc quadrari potest a=co
  49. et fint dy. scx dy ide = Sdx (e. a) logb
  50. 2e: a iel cia
  51. umenetuvatum 0 10ga = logco
  52. ut la casu quo eia -2
  53. y = (dx X. differentiando secundum e, prodibit dy: de = (dx, X: 10gX
  54. e
  55. miraric quadralura dispenctiva b+
  56. eno quolibet
  57. puncto alsarius auquae disserentialis sin tangens omniaquae
  58. ∞+X
  59. ee
  60. 6 y - (dx sitC: D) ubi variat cva variantibusse y variantibus C, isso X
  61. 272
  62. p
  63. 373 1. 1. 3.5 1 454
  64. 1. 1. 3.5-
  65. 1. 2.34; 16
  66. i
  67. b
  68. 5, 43
  69. 232 b C 1254b 1238 b3 1234; 16 65lL
  70. e 6b+ vv = b + = + VV--
  71. la.
  72. 4
  73. vv + (h- 22) V += qu (h+Z2) = 44(l1Z))-f
  74. 4
  75. 1_ 4 1 sB +2. 1 12V0, 2. 10. 13b3 f2, 10. 14V a F2. 10. 15 V3. + 2. 10 16 V
  76. fit 12 14 = - 12, 12: 62. 10
  77. 23.
  78. de logb = do:co
  79. Ae logba
  80. deo = dbC
  81. percuriendo donec e evans seat in 0, devenitur tandem ad fdxllogX: b+ db- ligb
  82. s
  83. a quo pendet serins 2 + 2 + etc. sed haic inventioni id obstat quod
  84. Xha (B. b+X = V e logX:a = logb +X = log v et eAx: XI = dx(:, b+X) -dv: V
  85. est, ide
  86. quantum momini
  87. d
  88. e
  89. seu Vdx = du: : AA) - (1; bFX)
  90. et vdx = dV e. Xe. a. a
  91. plitercoca
  92. tami
  93. dis = _ t ∞ C. XC-a5: a dx (:, b+X) - X dx (: qubp
  94. = 8. a (3, b1X): em Cb + ex - ax
  95. aec summatio utique coincidere debet
  96. eod fiert X: b+X = va et
  97. Odx = dx XCha, eb X t, X X = 1 9: (e - a) X + vb 31d,
  98. riori
  99. siisset xla; brx
  101. ar
  102. Ergo

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 201r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0401?run=74