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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 53r

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: 0.79.

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. 54v); this page is its right half.

The machine reads it as

  1. si sint duae quationes datae in quibus v, y, dv, du, per H affectiones
  2. ipsius X, simplici modo, seu ut nullus sit invicem ductus affectionum ab y et v.
  3. videnmus quomodo re dutantur ad aequationes, in quarum una
  4. absit v, in altera y. sit 1d 10 a 10 dx + 1 dv + 12 dis = o
  5. et 20dx + 2) do +22 dy = 0, ubi in 10 et 20 pono latere v et futcunque
  6. omanus e sit 10 A1C V ex + 121ydx +, 1120 + 127 dy 20
  7. et
  8. Egdx + 2U1 vdx F221 ydx F 212 dv + 222 dy =0. Fingantur duae aequa-
  9. tiones quvde + ar 910 dx + guvex + 912d0=0 et groadx + 921) a quadus
  10. Addantur in unum Aeqq. 1 et 2, multiplicatae illa per 901, haec per 902, et tertia
  11. 100. qu1 adx + 111. 901 vdx + 121. gol ydx + 112. 90l adv = 122901 a dyg
  12. multiplicata per 000, et fiet
  13. 200. 902 adx + 211. 9orBax + 247. 902y dx + 212. goradv + 22.902 ady 2 =0
  14. 900. 910 a dx F000. G1I VdX
  15. coincidens cum
  16. + g0. g21 ydx
  17. a
  18. 8000. 912 adv
  19. Si
  20. +gogrradus
  21. 000911 =. 111. 901 +211.902 000. 912 = 112.901 + 212.902. u
  22. die
  23. fint C iE 1II. 112, 801 4 = 000. 112. 911 = 112. 21.902. Ergo 802 = 000. 11. 9 1 -000.112. 91
  24. 920 adx
  25. 11I. 112.901 = 000. 111. 912 = 11I. 212.802
  26. 11I. 212 = p1Z.~2 211
  27. 000. 2 A. 917 - 000. 211. 91
  28. Et pari sure 801 = Z11. 112 = 212. 111
  29. Restat 900 = 100. 901 4 200902 - 000. 910, : 9 0 = 121. 901 +ru 901 3 . 921
  30. une 921=
  31. 8IC
  32. qualoor 100a ax + 110 vdx + 10c a do == 0
  33. 20 y dt es an quibus
  34. dotae
  35. desiderantur u qu
  36. siut D=
  37. 20d alx + 2t0vdX + Ediais =0
  38. i + cZ r ea,: d
  39. eritu ep ( +10ga d X +uObW dx + 110 CZ ax
  40. noeaex
  41. 220yax
  42. 202
  43. y- lid X mZ + na: a
  44. 101 ab du + 101 aC d.
  45. +nonadx +holu de L 120mZ
  46. +10r aa de + 1oial db + 10l a 7 de
  47. o2 aadu + ior addal + 102 aZ am + 102 a ldu +102 am dz
  48. en 101 b +1928 = d
  49. eritus l= - 101: 1 + 1obly = 4101 6.
  50. tgota de
  51. potest poni in = 0 et e = 0 fiat du= ol b + claoz L. Et
  52. i
  53. alor.
  54. Loi-node sed video ita fore et 101 db + 102 dl = adeoque et 110b t120 l olatoletur lo et alo
  55. OetD, seu exalitationis eatum lvare
  56. ex 1012 = 10C. 162 quod non licet
  57. video cadditionem in unum diarum aequationum juvare
  58. de
  59. e non licet
  60. arum ( et D per
  61. a n
  62. 120y dx
  63. dC
  64. tum diversimod
  65. aequationum quatuor ope
  66. 00 a
  67. 2
  68. H bita explicationibus
  69. 9, tollatur duo habebitur aequatio in qua solumt
  70. C
  71. ell
  72. quid
  73. a
  74. qua
  75. a
  76. colle
  77. ldca
  78. dopaeter
  79. du. Itaque
  80. et W
  81. et
  82. a
  83. tuo

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 53r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0105?run=74