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

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: 0.82.

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. 198r); this page is its left half.

The machine reads it as

  1. talis solutio non fulura sit recpoca
  2. ita ut extra eam alia no esse non possit
  3. erit tamen vera, si 4a +8a + 4 censentur aequale = ff. Cto.
  4. et a2 + 243+ 4a + 1 o censeatur qub = gg B
  5. aequatio ergo est: 4a2 + 8 a + 4) = ff
  6. a +2a +2 = H - 2
  7. a at2 = q s4
  8. Nota si a sumatur 1. tuperior quidem
  9. terminus est quadratum sed non inferior
  10. si tamen ei adjiciatur 1. est ipse
  11. tum 9. Iovertatur rasio, et loco
  12. dd + +a +8a +4
  13. ar+ 2a3F ∞a+1
  14. duatur, a+ 2a+ a +I
  15. ded qapea +t
  16. addatur supeion 1. erit ex ipse utum sumo
  17. sito quod a sit 1. et acedet toti
  18. = a 12a 740 +2 sed ita
  19. qa e8a +4
  20. Omna perturbabuntu
  21. Alia ergo alia ratio investrganda est
  22. Qua ex duo divisione numeri dati per
  23. datum fit Quadratum. A= cc. Ergo non posserior.
  24. L =c. Similiter ergo ut rod utistium
  25. Casum redeamus, si 4a + 8a +4 = f dd.
  26. Sd tra +4a f2.
  27. Ego 4a +9a +4 it cut = d.
  28. a2 +2a3+4a f2
  29. Ergo
  30. 4 a +8a +4 - d
  31. ard + 2a d + 4 2d
  32. 4a+8a
  33. = d+ 4
  34. a3 + 2ad + adF 2d aa + 2a + 4ad f 2d
  35. 4u
  36. a trrad aadted
  37. Si Numerus qui per alium divisus producit qua
  38. dratum, est numerus 8 f4
  39. purso
  40. est numerus qui quadralum multiplicanis, producit
  41. dividendum ergo
  42. 4 a +2a + 4a +23d- 4a +6a +4.
  43. 16 110re 1
  44. B
  45. 4a + ba
  46. 13d ga
  47. 4∞ + 8a + 41 + 1
  48. 2a
  49. a evel
  50. 24 Aat utu
  51. 14
  52. 144)
  53. Exhhac duitone spatet, ut eatsas
  54. it quadratum 2a
  55. 4a +
  56. Aa+ _ + 4
  57. xa harca
  58. +c
  59. a
  60. seu 30 7(=4a.
  61. 3a
  62. sErgo aC).
  63. 3a+4+1 = 4a +3
  64. 3a +2 = fa) 3a +a
  65. Ergo 3a + 4 = 4a +3.
  66. Ergo 3a + 3a + 10
  67. si jam a. sipponatur esse 2. tunc 4
  68. 4a + 8a + 4 + 1 erit tunc prorz quide
  69. terminus 4a+8a
  70. .C. verit quadralis sed
  71. 64
  72. + 8a + 5
  73. 1 1
  74. 4a + aHt
  75. A∞ + X + +
  76. Ex hoc
  77. Calculo se qui
  78. 4a +8a +5 sit
  79. Numers quadratus qualiscunque suppo–
  80. natur a, quia scilicet, orretur
  81. aequatio inter 4 et = 2+1. seu .
  82. quod est impossibile. Notamdus est hit
  83. modus satis elesans probandi an aliqud
  84. possit exprim calculo
  85. sed vereor ut sit planie sufficiens
  86. luo est, cum subtenis a quo subtra
  87. hendum subtrahendo major
  88. elud dum minor, tunc enim mutam
  89. sipotus radto
  90. 6d1 16+16+5
  91. a A
  92. e p

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 197v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0394?run=74