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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 203v

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: 0.72.

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The machine reads it as

  1. es
  2. xtaxtb + Xta. XFC + Xtb. XIC, =3
  3. Hinc
  4. rir
  5. tqX+b Xta XtC AXtbXtC
  6. e
  7. XX + 2 aX +1. a b
  8. ine a vi ata A+b. krC
  9. an Xta. X+b. XFC
  10. Ergo Xta. xtb +
  11. ser
  12. dx X+b. X.
  13. tto
  14. Xta. X+
  15. 2dXra.
  16. Ata
  17. sed a tole boxde sevanu quia f a
  18. quia E=
  19. Eodem modo
  20. jam
  21. Ergo
  22. 0
  23. ac
  24. bc
  25. ita porro. aquod demonstratur hoc modo
  26. D stxta = C extb = D et X+C= E sit A DE=
  27. lica
  28. X+a. X+b. XFC + X+a. X+b. Xtd + Xta. X+C. X+d + X+b. X+tC. X+d =
  29. prcsitbm Krdixt
  30. d sn xta, x1b. XtC =
  31. du Xta. X+b. xtc
  32. Y. X+a. X +b. X +F
  33. b. X
  34. e
  35. +X + 3a X +2abX H. abc
  36. e edor0ODde
  37. BL dx xeta. XIC
  38. ex
  39. e
  40. dine.
  41. 4
  42. X+b
  43. dx sata.x
  44. e. EVNta. X+b. X +C
  45. Sed aliunde quia a v+
  46. XX + 2aX + tabC
  47. 2V, X+a. X + b. X+C
  48. ae
  49. ad
  50. C
  51. X+C
  52. XYa. A +b + Xt a. XFC + XL
  53. b0
  54. b
  55. X
  56. abd
  57. acd
  58. bed
  59. xta. XtC + X + b. XtC = d Xta. XIb. XFC = 3XX + 2aX + 1 abe
  60. ed
  61. e
  62. si
  63. c
  64. est Xra. xIb. xrC + X + a.XIb_C+d + Xta. X+ C. XId + X+b. XH. XId = d Xx+ a. X +b. X +C. x4d
  65. Xta X1b. X +C +xtax +b. X1d + Xta. x +C. Xtd + xtb. XIC. Xtd
  66. Xta. Xtb. XtC., X1d
  67. ++
  68. dicla
  69. Si
  70. 4
  71. Xta Xtb XtC Xtd
  72. anxta. xtb. XIC. XId. seu dx, L + L, + L +L
  73. 4d d 4 a
  74. xta Xtb XrC AtO
  75. X + a. X + b. X+C. X+d
  76. =bexra
  77. Xta Xtb RtC Xtd Amxtb
  78. in XtC
  79. e t miuhe data curva cujus ordinato in xtd
  80. sait producti Ex progressione anthmetica ejusdem multitudinis, maneulibus abic, etc. variatis X; uihuius curoae tan
  81. tangente haberi summam, progressionis farmonica
  82. et ea
  83. d
  84. sequitur sit tangentem curvae logaritimorum pud smoductis continnorum
  85. haberi summam progressichis Farmonila

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 203v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0406?run=74