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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 205r

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: 0.71.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. e
  2. Atai XFyE dus: dx seu Xdx +adx = X
  3. sit Nex tacD, et Xdy +dB
  4. X+a
  5. Ax
  6. B
  7. gdy
  8. C
  9. sin reeadute ponendo in unum
  10. xt omnes terminos, in quibus reperiuntur y et dus
  11. Assumatur qualiscunque per X ot g. Et sit Lyn
  12. et uus differenta
  13. et
  14. e
  15. (sL
  16. f. c
  17. x y, dyd sit V= X, V
  18. , (6)
  19. do X, Y, ax1y lebet esse do = d, X, dx
  20. ita enim per filaeq. 5 fl do
  21. x aq. X.
  22. X
  23. am
  24. D, X, dx adeoque
  25. 95
  26. lX dv:dx=
  27. X
  28. et habetur
  29. V quadlatorie ex X, per 8. atque adeo per S. habetu
  30. (9) y ex X quadralorie quod desideraebalu
  31. Tantum opus est invenire v.
  32. sit Nec refert
  33. sit v= a a+bx +cq+ eKY, sixx agru etc. fiel.
  34. du bx sit sit vX
  35. es
  36. 1
  37. lro Mor
  38. sit V.
  39. du
  40. _. 0K,Y.
  41. debet esse
  42. Si
  43. H
  44. e Li
  45. este
  46. der
  47. elae. Fietqe
  48. L (11) page un
  49. d
  50. au as
  51. lore
  52. t
  53. a x,y dy + aXs sa
  54. ret l1x H.
  55. t (BA
  56. Ndy =X. C
  57. sed video rem esse impossibilem Nam in
  58. t
  59. dx y dx necessaro eodem modo sperest y ut
  60. in
  61. X
  62. re
  63. An sic. adoeg. 2. ascribata
  64. est
  65. alia inempe. xd audx Xdu 1 ydy + x ex + dB X
  66. 4 se
  67. Kax +adX
  68. et ponendo
  69. l
  70. xilus tydy a+ e
  71. 15)
  72. 2
  73. X+y. Ex+ dy
  74. aru axtay
  75. e
  76. divillatur aequatio in dua 14 in duas
  77. ul sit a 50
  78. (Xta dx et y = axidus Eti
  79. hnbemus
  80. onem
  81. xtadx =Xty ax+dque 4uae Xtyue
  82. dua ag. 17 et 10 debent esse coincidentes.
  83. sen
  84. 19
  85. o
  86. fi posito X+y = Z
  87. et ex 17 fet = des
  88. et Xta dx dZ iquarum opt tollendo
  89. ex aeg. 1 ipsas dy (per 17) et eu per 20, et
  90. t
  91. et dx per 21. debet restabit solum7 et
  92. 5
  93. e
  94. hoc cata dul fitidentica.
  95. et explicanus

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 205r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0409?run=74