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Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 20r

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: 0.74.

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

The machine reads it as

  1. +
  2. m
  3. l+m LC
  4. axr = I
  5. ax-ay= pp
  6. bei
  7. X, y, Z
  8. ax + aZ = mm
  9. ax - aZ= 94
  10. 2ax = l + pp = mm + 99
  11. aytaz= nn
  12. ay - aZ = YY
  13. 2ay= HI - pp= nn +rY 2aZ = mm - 9q = nn -rr
  14. Res ergo reducta est ad aequationes 1, 2, 3
  15. sit em + g = sn + SY et fiet m- q= an
  16. a
  17. e
  18. sit ram 2m = (( + a
  19. a
  20. n s
  21. Sd
  22. 2
  23. a gg. et
  24. ds Da)Y
  25. ia
  26. et 29= ( -) n ++
  27. +
  28. d
  29. a
  30. U- mm = pp qu sit l + m = p + 4a
  31. =M=
  32. a
  33. t
  34. + 2 a
  35. V
  36. Em = (t - a) p (4)
  37. a +
  38. L +3
  39. a
  40. fietque
  41. )q
  42. 2- 1b + a) (+) (+ = a q
  43. (F
  44. a
  45. a +7
  46. a
  47. a
  48. t
  49. + 5) Y
  50. Ea +a 5
  51. a substituendo
  52. ar
  53. valores inventos sil
  54. sAt +a ((S -a)n + (L +a)r
  55. la t
  56. a
  57. a s
  58. 2(V(t + a) p(+)F - a )((5- a in + (L + a 9Y
  59. la
  60. e
  61. ubi pro m et
  62. a
  63. La
  64. a
  65. His duabus novissimis aequationibus jungenda est aequatio
  66. l Pp= nntrr. In hphac
  67. puro et p substituantur valores
  68. aequatione 2
  69. ex aegg. 4 et G
  70. superent aequatio pro solis n r, una Cum aux iliaribus ses
  71. Et compendio Z 43 = U 2 -a = 13 F+ 4 = 21 F-4 =2L
  72. a
  73. fiet ex ay. 4 1R f 2IY = 22p (+) L 21. (12n + I1Y)
  74. et exaeq. 5, 2l = 21p (+) 22 (121 + 11 Y). Ex pricre erit
  75. p= un + 2r(:
  76. El =
  77. ei
  78. 1q
  79. u 1122
  80. n. 21 n + 21.21 (=
  81. 22
  82. 12n + Y) et hinc erit
  83. 7 2t. 21 (In H f1r) f) 22C12n +11
  84. 2 1)2
  85. et
  86. Hidus valoret et p subslimendi it aq. 2
  87. l

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 20r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068000:0039?run=73