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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 314r

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: 0.76.

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

The machine reads it as

  1. Deux nombres quelquaques, divise par le donsile it leur somme, sont tels
  2. que la difference de leur quarez, estant adjontée au plus petit; et estant
  3. ostee du plus graud; Il vient un même
  4. leur sommee
  5. A
  6. 1
  7. 2a+ 2b 2a + 2b
  8. o
  9. quarie, qui est le quare de
  10. du
  11. ea
  12. Ia +8ab + 4b 4a+8ab +4V
  13. ux a) +a + 2ab
  14. 4a F8 ab 4 4b
  15. 2a + 2b
  16. va
  17. l ab - a
  18. a = 2ab
  19. +a + 8ab + 4b
  20. 4a + 8 ab r 46 2ab. +0b l)+
  21. 36
  22. 13
  23. 1061, 3.
  24. 100
  25. + a +6ab + 4b va (570
  26. cut Hugemus
  27. as
  28. tr a 193
  29. 4a +5ab + 4b
  30. a
  31. deator suma quadralus ut
  32. AErIACF, E PF
  33. Ben CF
  34. GHK E ABEPFCA.
  35. vaeritur AB ratio AB ad GH.
  36. a
  37. a2 +6avga,
  38. s
  39. 2
  40. + 2ab
  41. ar +8ab + 46
  42. F2
  43. 2a + ib
  44. dcubus
  45. nuo latere non potest esse quadratus. lt unna
  46. AY
  47. DBlongens
  48. AABC. maximum
  49. inscripturus.
  50. methodo utitur dosanna.
  51. quad. parab
  52. 80
  53. circa C L. frat semicirenlus aMt. Secans. 1140
  54. HK prodactum in M.
  55. gungatur lik
  56. friat GN ~ 1M
  57. Sit 1O parallela L. K.
  58. Recta C00 lateri Hexagoni cujus
  59. area vareae proposit AE HK
  60. 36
  61. duat1 c02a +1.
  62. b. ~3a +1
  63. a2
  64. a2 16a 1.
  65. a a in. (+9)7 34, a
  66. a a x+
  67. sa
  68. 1
  69. tba ru
  70. Methodus qua D. Osania
  71. acit vaniant aliquando ut
  72. aequentur quadrato formulae cu
  73. quibus quadratis nullus. Sailicet
  74. quadratus, ut in praecedenti exemplo
  75. 2 +. + 5 i M mea methodo
  76. si sit 2a 4 5 b C reducitur ad hoc
  77. sione est
  78. 2 bH
  79. 2+5BC vel ad hoc:
  80. 5+2a er vel 2+5l= d
  81. s
  82. vel 5 +2a 2 8 c2
  83. 20
  84. BIBLIOTHKOR
  85. SC
  86. ALAABOVESIAHA
  87. producatur perp. C.N in L, ita at 1L. ∞ IX
  88. a2 4 26d + 5b2
  89. d~.
  90. si summa omnum unitatum
  91. Lb 53

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 314r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0627?run=74