Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 6r

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. 5v); this page is its right half.

The machine reads it as

  1. 1pC
  2. 1rC, iW 2ud +4ea 15Ca, +5, 2ed f 4 ca - isca + nx Wdtea 15ca + d
  3. ga. (là l’ a
  4. l
  5. + at 1W audt rea isca + d+
  6. all à C, 12
  7. 20d 4 Ca - 1 5ca
  8. (a
  9. 28
  10. 19
  11. iu B -
  12. Cn
  13. +
  14. +
  15. 1
  16. 1+ 2F0
  17. unitates. tractus lductus ad dehominatorem quadra
  18. tum, eo ipso du puunerator in unitates dividetur
  19. In P Dr aW 28, +5 + B, + W B e + + WB +di + D myg. + Y. + 5 +B, +WB + d
  20. Quod si in aliis quibusdam exemplis rentemus habebimius resulam universalem, qua omnis aequatio
  21. seu intinalis
  22. simplex an integris resolvi possit.
  23. Aequatio autem aliae ere non simplex determinam
  24. de En integtis ante omnia reddenda est simplex seu rationalis.
  25. X + Y ⊓ ab seu smples reddi possit e ab Hoc fiet si unum quadiatum destruamus, otem
  26. si omnem quantitatem cognitam destruamus. pon X A+ fie et V e+ d. fiet
  27. ex X +y Hab fiet: A + 2ct +C + e + 2da + d2, ab. ergo si c+ d ab. habemus quaesitum, jam porro–
  28. ponamus A A E + C. et e A +f. Ergo fiei: v2, 2eE + et + Cd + 2C + f. B ab. Jam ponamus 2ce+ 2df,,0.
  29. +2C. +
  30. +d. tadf quaelibet numerus in quatuor quadrata
  31. dividi detur, posse eum etiam diculi in duo, quadrata. Si rarsus in locum ipsius X Z ponumus _ +g, et pro W AG+ h.
  32. dipen anic eti
  33. vibi
  34. +c
  35. +3u
  36. liternis id alter
  37. potuistemus ex rg. D. facere
  38. fier. o2 6+ 290 + g + g2+ 2h + tE Y ab. preponamus itm 25 f + 2df 0. seu
  39. de
  40. + 2b. +reg
  41. +2F. +2f_
  42. nc 1 +2d; 12d
  43. + et
  44. ace
  45. +2d)
  46. + A2
  47. f1 - 2cd - 2d. res tamen redibit eodem
  48. nam poni oportebit e rcet+d ab.
  49. si destrnamus a f2df +C erit f Ad
  50. +d Et C+2C+
  51. 4d
  52. et X 1
  53. ddeoque denigue
  54. a
  55. in
  56. + ir
  57. 2vd +4 ea -1Sca, + s, + bd + Na- 1Sca 1) +
  58. ja ll a
  59. Nempe 7, +
  60. 1.
  61. 1.
  62. 9
  63. W
  64. 1. Z. 1. a.
  65. 1 18 B3 2
  66. seu
  67. 18
  68. 19
  69. es rndi qua- 1Ca, +d
  70. a
  71. 8+1
  72. 2
  73. +t2
  74. +
  75. et
  76. e
  77. 1
  78. 13
  79. 8t
  80. +
  81. sumerum divisibili, semper dividi poste in quada
  82. duot quilibet autem numerus oriam frnctus semper
  83. in aliqua quadratos dividi potest. Nam integer in
  84. a
  85. in finitis aliis modis fieri potest, es succedat, et si numerus datus nondivi datur in duos quadratos, ut siponamus, dividii in
  86. tres quadratos int tollantur q +e +t- ab p0. fian). Ponenda ejunt praeterea p 2e9 +2g 29 k Dc +ihf +ib d+gdu
  87. ldc faciunt ut credam, quo libet mituero in dacum quanliber quadilatoruer
  88. t

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 6r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068240:0011?run=74