Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 124r

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: 0.70.

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. 123v); this page is its right half.

The machine reads it as

  1. vex H ab V eX + in
  2. Suppositio tro
  3. II. D al. IH.
  4. summa I. et III. erit quadratus.
  5. summa U. et III. erit V quadratus
  6. d X
  7. Alia suppositio in iI
  8. II. dX
  9. II. d x- 2)
  10. Summa L. et II. erit quaddatus d2
  11. Diffra 1. et II. erit ... . .. X
  12. 1. .. . II et III ............
  13. Erit al i Conferantor singuli Termini unius suppositionis
  14. singulis terminis alterius sppositionis fet
  15. Ien exise er aa
  16. di muta
  17. al d +X
  18. 2y- d CX d C∞ 1Z fiet tdnotZ
  19. la
  20. 1v. 2y (+ 4 +X (d - x for VtX p y
  21. unde vex ( 2x +X evmfx XmnC
  22. Unde 2VX + 2vm + 2xm + m p0.
  23. C +
  24. Fiet Vt X p d - Z, B quadrato ast.
  25. D FX d = Z. Ego v +X E + 2EZ (
  26. 12) firz
  27. FX)H (X + 2XC + C. Ergo i XF v e
  28. fier Z
  29. v ~
  30. a v-2ve C4
  31. v1 + v4 NC + et ep te s pu +e
  32. 8ec
  33. superest efficiamus unica quae restat condition imq leatur, id et
  34. ut 2at 5, vel ya ut + 2al F y sit quadratus. +
  35. sive pd X F V, seu + de fX f r Aragi
  36. .+ du X2 s
  37. sive X +Z debet esse quadrutus,
  38. Unde X F Z0 - 1V
  39. 2V.
  40. .dWC:
  41. ponc re Z+ f, sier 2 aY ZV = 2f
  42. sive 2Y V 2ree
  43. e eque
  44. av
  45. fiei vc, v Me e c is2fY +2te
  46. Iuan
  47. + veer
  48. Pone v cCH Y +9. fier t
  49. p - e. Pone X . 5i 12
  50. it m
  51. e F2ef pucann.
  52. 1A
  53. Ponamus si licet C BV fiet ZH +
  54. et X B.
  55. n
  56. et
  57. en rgnlg
  58. sive Z
  59. 21
  60. d ai ErgoPorro ( =C in te
  61. et gt 4402
  62. v7tc t etn
  63. 2t etse ces iet
  64. Ipp) li 10
  65. Ete artenl + pocndou tor, siet
  66. Et fier VH 2et t L2+ 2P eht
  67. et t
  68. Prezr2e
  69. o
  70. a EAx
  71. et rursus ponendo n p e fiet v 2l+ +2 p l
  72. - 2 l52pl= p2
  73. Tempis est ut ad Numeris veniamus; ubi primum Drovisum e ut dsit in apus quam X 7272
  74. =2 C2 ∞ 2en n1
  75. ane jam constat S esse B quam 70 Ergo C. est quantivas affirem atria
  76. debet erro esse v +V, (seu D d. Z) f. si a d’auferatur )
  77. s seu 2 ept
  78. =2I1-(2- PE ea
  79. esse x major quam CZ
  80. e v ent
  82. ergo. V tC. quod posibo e, esse 1. caeteraque omnia esse num eros veros non
  83. o cone plet t
  84. = 2X -2m
  85. m +2X m
  86. Num L. al.
  87. Num 1
  88. cujus quadratum:
  89. t e +tpC
  90. p
  91. + p
  92. a
  93. d1x (q1 . 2Z.
  94. de c+Z
  95. te+ te+h
  96. vse

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 124r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0249?run=74