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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 197r

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: 0.75.

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. 198v); this page is its right half.

The machine reads it as

  1. Aequationem hanc habemus:
  2. 4aarr. 1 90at1 - ari
  3. a an - a = 1 =
  4. d’g alis diga
  5. 2d cun +i
  6. 20 1 3c0a
  7. da a 3. 1, - d = 1 18 10 i1a 18 184
  8. a + 2aY-dd -d= 4X + 49 +
  9. a 19d 9d9d a
  10. Reassum am.
  11. srpositae duae aequationes findamentales hae sunt:
  12. 264a + 64 a (7 325) vel 1.t
  13. 136
  14. 18 1B13
  15. 32 a + 69 vel vel
  16. 18c,
  17. ee = 16a5 + 32 a + 26 Ergo
  18. +a + 8a - 44 +1 ) = 16a + 32a + 16
  19. F+F FP Cdd9 = 16a 32 a F 16
  20. Fi
  21. 9d2
  22. ut 2 F 1 = 4a +E
  23. a + 1.
  24. A3
  25. 9d2 at1
  26. ut 2 = 4a 2 + 4a -
  27. odrnat. a +1.
  28. vel 3a +1 = 4a +4a 2 + +a +.
  29. a+d+ +2a3d2 = 4a7 +a + 2X +a) f + 4)7 + 2a3
  30. 4a3d2 - a4d2. 2a2d2, d2
  31. 8
  32. 16d
  33. 4a + 8a3 = 4a +1 = e
  34. ee =
  35. 11
  36. aa + ar art
  37. vel a3+1 = 4a +
  38. d’9 d9 d9. = et vel a +1. + a
  39. 3a3 H2 - 1 - a = H 4 +
  40. a = 43-1, - 1 =
  41. e
  42. tiet d’a2 4 d2-
  43. a +2a74 -7 = 4a + 49 + 4 + 1 Y2a + a5
  44. da a +1.
  45. 1a2
  46. a A + + a d - ad- d = 4a + 4a + + - a a
  47. d2a
  48. 4294
  49. a
  50. 942
  51. 2a +1. - 4a - 4a + = 4a
  52. +a
  53. 4a5 - 44+ 382
  54. n
  55. 50
  56. 4 +
  57. 1esal6
  58. 1d5a
  59. 1b b
  60. 16]4 c6
  61. 4
  62. 60115, 60. 18
  63. 1
  64. 5d(20. 170 15
  65. 44+8 +
  66. 150
  67. Ergo ddg 16a + 32a + 16 4a + 8a + 4+1.
  68. 152 4 a3 8a2 + 4a+ 1 a4 + 2a +44+1 : 9 (a +2074 + 49
  69. gd= i Notundum hic est rem
  70. esse per utilm ab nun parte termiinum,
  71. ab altra raonem habere. Quia ratio
  72. gam per multiplicationes et divisiones a
  73. radicum extractiones tractari poliri re-
  74. duci _ Salva raves identitate, termino
  75. alto intacto Est ergo rad materia aequa-
  76. tronum in aequave. Idque hic egregio
  77. exemplo patet cum enim 4a +8a + 4 suit sequalia od
  78. a2+ 243 +4a + 1.
  79. quadrato Necesser esttrus ravis terminu esse
  80. aequalem cuidam quadrato, neque videndum est
  81. quae quibus divita producant quadratum, et
  82. ante omnia cectum est quadratum divisum per
  83. quadratum producerequadratum. Quare quanqua
  84. vel 2a +
  85. 3
  86. 3a ar 1.
  87. ia
  88. tisic
  89. e id
  90. Aa +4a +5X2
  91. A + aet 2a Ht
  92. 1 45
  93. 15
  94. 6-35
  95. 1
  96. 4 + b. eH.
  97. na aa + bh +rab
  98. ab ta bb:
  99. ate

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 197r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0393?run=74