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Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 15r

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

The machine reads it as

  1. na. si 1681
  2. Tunenbndum observaoex
  3. utem imoiferentiaus Differentialia Transcendentium et nova de
  4. Tunstendeatum.
  5. Cquadraturis per aequationes transcendentes
  6. Et si faile sit transcendentium differentralia invenire licebit
  7. adu
  8. tamen quibusdam aatis invenire alia
  9. a. V
  10. l
  11. E
  12. a inea
  13. posito unitatem esse a erit
  14. mogntrm
  15. d
  16. a
  17. item dat quia x
  18. e
  19. si sit aequato.
  20. C
  21. b aequ. y sic exprimi debet exacte
  22. 2
  23. X
  24. a
  25. aequ. ) a, ut servetur lex
  26. b equ. y. dat a b aqu dys
  27. aequ ,v
  28. si sit equatio
  29. (e
  30. V
  31. hinc d b aequ. b d prv
  32. +b db
  33. b aequ y reducatur ad havc Pa aequ y.
  34. X aequ V faciamus X aequ C oritur absurdum, si
  35. C constans. fac amus ergo
  36. d
  37. X aequ
  38. ey
  39. fi et C aequ y. seu
  40. fiet C aqu Ha ergo his duabus aequationibus resolvi potest quaesitum et fiet
  41. cago. aqy
  42. et habebimus
  43. X. b aequys, fiat y aequaX
  44. Y aequ
  45. aqueo. Ergo si tantur tangentes rujus
  46. datur autem d
  47. dy
  48. de
  49. du
  50. Xe
  51. ax
  52. 1
  53. 1.
  54. des
  55. 2
  56. et habetur
  57. x W + X aed
  58. 3 4
  59. yoeX 1 4 27 256 ∞25
  60. X
  61. 27
  62. 3, 232212861
  63. 20. 16
  64. beu y fiet:
  65. ax
  66. du aequ ed x+Xco
  67. scribatur 2xaequ vofiet: yaequ
  68. et uno dato habetur nlterum.
  69. aequiy et
  70. X aequ
  71. x
  72. aes
  73. codx
  74. Ergo aequ.
  75. .
  76. V
  77. X
  78. deo xb aequ y. quia quaentur
  79. dabantur et prioris curvae
  80. alis
  81. scribatur e aequ
  82. baego y fiat:
  83. X agu V. fiet b aqu. y.
  84. t. aequ y.
  85. X
  86. bX a
  87. 6a 3
  88. 256
  89. superest ergo ut
  90. 3l25
  91. vel differentias
  92. tantum tangentes talium: X vel X etc. aliorumque similium
  93. inveniamqs,
  94. item b Ex his datis caetera facilius habentur
  95. ex datis
  96. a X datur et dX vel contra; quia si XL aequ. y erit
  97. Xaequ
  98. yv yposititita
  99. 256

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 15r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068033:0029?run=73