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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 27r

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.

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

The same scan is also registered as fol. 28v; its text is given once, here.

The machine reads it as

  1. seu X =
  2. W4
  3. ac +bc0+
  4. neo +Co + p.
  5. v + b0+ 4
  6. mv + nv +p
  7. MDX + nvX + pX = a v + b v + C
  8. vD + nx - b v = C- pX
  9. mx-aa
  10. IX =aa
  11. VV + nX - B v + nX 2n bX + b +n X - 2nbX +
  12. mx-aa
  13. T ner2maxta
  14. sin = 2n BX +
  15. amx +4meX ac
  16. +aa
  17. D = 1 -Am.. + anque. = 4a = nXt3 2, nX = 2m axta
  18. et
  19. +4ap.
  20. 2, mx - aa
  21. la ... . . . . ..
  22. 60.
  23. an
  24. momanmnam n a mn
  25. 2, mx aa
  26. Sit gent. (10 X+ 1X + 12 aeg. gto (0X 2. 1019 + _
  27. Eyt
  28. fit nX +e - 2. 10_yX = . y = 12. seu X = y= 12
  29. 11 = 2. 10. A
  30. et 110210X + uX +12 = . 10X + y = (10yy 10. 12 F 11y (310y
  31. et fiet
  32. ( =
  33. iax sta
  34. + any - 10. 1a
  35. mat
  36. +an: 12
  37. ana -2. 102y + al31I
  38. 2 myy
  39. Z- 2 m12
  40. 1410aay= 4. 11a
  41. 11 - 210y
  42. 10 = n-4mv
  43. 11= - 2nb + 4m c + tap
  44. 12 = b = 4ac
  45. ab ta sxx+ ab + Y ab - a
  46. ab +a Sx -ab + ab a sxx ab- nab ea xx
  47. aa + a - xX taa + Vaa Da Y-xx taa = y
  48. man
  49. c
  50. Ls
  51. ergo aa ta rxx taa + aa -ais- xx + aa F2 1(() + X F a) = yy
  52. el
  53. seu y = 2aa +2XX
  54. Vaa + a d taa = co fit: Co = aa F a Yaa -x
  55. et co - 2aac0W (+ a) = (a - a a XX. fit
  56. AX = C 12an -cdco
  57. Quid si
  58. 2
  59. mmm
  60. ax + ax + 4X + ax - a Vax - XX = y
  61. fil yy = 2ax fa X∞ + aXC aa xx
  62. C
  63. seu y = 2)
  64. 2
  65. -
  66. (axX - 2a Xa +co = - aX Ha a xY, et sit X. To
  67. et fit X = C0: 2aco- a
  68. sit X vo = aX + XX = vvxx fit - a + a X = e0x
  69. aa
  70. seu X = a:, a- v et dx = t. a dv: (2(a- v
  71. vWXX = av: PJac- vr fit
  72. 3
  73. ut x codx = 2a pdv 4 + a VV
  74. seu Cddx=
  75. W dx --
  76. 2a vde
  77. (3 aa- x
  78. 2a v do
  79. 3aa- vn
  80. H) aquv a- V
  81. Ptan-o
  82. y al avor av (+ avr,
  83. atV
  84. a Sa vdo reduci potest
  85. ad Vae at t aagydus.
  86. sa a r ud reduciept ad sa rna dus
  87. atv dn=ax du V, vel 8 a +b = a a Z2. et v.
  88. scribe Sa + V = aZ + BV a + V) = aa Z Z + 2g a ZV + aBCV
  89. B ergo v = a Yna- 2
  90. an
  91. eu
  92. a
  93. aco + bC +C
  94. meo +nco +p.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 27r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0053?run=74