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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 120r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 119v); this page is its right half.

The machine reads it as

  1. nam aequatio
  2. ergo 8+Z, 1 f + 2CA + X, fier c r, gu qu
  3. sive X B E C A) + fX + 2Za
  4. 22
  5. ct qu
  6. y qu
  7. s et erit X -Z N 2 + 1
  8. Y, erit ergo X aequalis quadrato cuidam diviso
  9. 9 Ergo poncnor X 1 Z, fit 4Z 1XF 2Z
  10. per numerum latere quadrati minorem, duplicatum, q X + +Z, +d 14 7
  11. Cin =2+4 22 34 +42 +6Z + 4(7 +
  12. ergo e+2527 +74
  13. Zpabit 52 C 2
  14. 2a2
  15. jamt X
  16. aequalis quadcato. Tantum ergo ponemus e +L
  17. Z +272 + X
  18. et breo in aequatione sub , possumus sumere e +27
  19. 21 +2
  20. vel e + 72
  21. e p X
  22. ea
  23. sive 2X n + n +7V 0, et X B = - 3 male quaerenda est
  24. potius e et explicanda X, fiet e +72 p
  25. a
  26. Habemus ergo vel possumus ponere
  27. Nv
  28. - 5h
  29. fret. Bs
  30. at X
  31. 2M
  32. + E. C
  33. a
  34. sive
  35. ergo C
  36. + 29) + 1V
  37. yu x0
  38. 27
  39. per su paulo ante dicta
  40. ponendoque, Ze =Y et ABD F=
  41. + e 5 H 2Z 1p 8
  42. t
  43. proo e
  44. +.
  45. sedita non obtinebimm
  46. intentum, cum 2 plane evanesut
  47. nisi dicamus tunc E sum posse
  48. pro arbitrio caeteraque omnia
  49. resumemus ergo potus aequationem 2,, ponemusque Z B es e 11
  50. fier A + et 1,72
  51. glea
  52. in aequatione
  53. 1)
  54. fiet e + 22
  55. +
  56. ese e
  57. R L
  58. ergo et + q0
  59. F
  60. + 2C1X + 2
  61. c2C
  62. +271 + +2
  63. + 2Z + _
  64. ponendoque A
  65. ponamus AB
  66. 1Z B
  67. 1 2 1 vel e = 27e + y2 10 sive C 1, Z.
  68. ZV + 272
  69. sed i et absurva quod secundus terminus
  70. e
  71. it
  72. + 30
  73. 2
  74. eritue B4+
  75. = Da
  76. 2D
  77. 2X
  78. erunt e 5 X f, Z. Male. venitur ad impossibilia
  79. Metis. 5 + 3
  80. 3
  81. n
  82. z
  83. + +
  84. dF+
  85. Nex id utique sit ponendo e. Z. A, aequalia
  86. ergo X d. Unde vera quidem sequentur
  87. fierei p o. Rectus ergo sic ponamus X esse
  88. ponamus ep, T et 2A d, fier:
  89. (24
  90. +I2
  91. tantum ergo ppus +Z aequari quadeato
  92. sive
  93. 8) I
  94. + D 1I
  95. +72
  96. et + 2 (D7 + D
  97. L1 X
  98. 4- D
  100. 02, v (D
  101. +
  102. 2I
  103. B sin

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 120r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0241?run=74