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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 10v

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: 0.86.

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. 11r); this page is its left half.

The machine reads it as

  1. Tres Numeros reperire quorum summa
  2. quadratus, et aelatere dato; et summa
  3. quadratorum; qua drato quadratus ab eodem
  4. latere dato.
  5. sinto
  6. (1 Numerus L.
  7. 2) Num. II.
  8. 6) Num. IIL
  9. (1) summa Numerorm
  10. (5) Quadratum Numeri UHi
  11. (6) Summa oium Quadratorum. per, 1. 2. 3
  12. (7) summa omnium quadratorum
  13. per 4.
  14. (8) Ergo
  15. (9) sive
  16. 50Lu
  17. (10. Num. 7.
  18. (11) Num. 2L
  19. (12) Num TIL
  20. JN INE
  21. (13) Num. L
  22. (14)..
  23. (15) ....
  24. DEURmiA
  25. ab
  26. ac
  27. X = ab - dc
  28. X - 2abX - _ 2aCX + b 2abc + ac
  29. X - 2abX - 2ac X + 2a b +2a bc + 28
  30. Xy Xa b + fac + paebe
  31. Xpb 474C
  32. a Xb L XrC
  33. +c+ bc
  34. Xb + X Cb
  35. b +C + bc
  36. X bc + XC
  37. b+ c + bc
  38. Xxd cb b C XbC bc- 2 xbeZ b CX
  39. b bc bc+ be
  40. b4 Xbc
  41. XC + X bC
  42. xcb broro
  43. Hinc sequitur aliquem ex
  44. numeris quaerendis esse
  45. nihilo minorem. Nempe
  46. tertium si b et c. habent idem
  47. signum verum, seve id sit +, sive
  48. e c
  49. b sit affectum signo
  50. vel contra,
  51. tunc si est HiC erit signus
  52. nimerus
  53. nihilo minor sin
  54. b est qua
  55. nunerus primus.
  56. a
  57. N 1. Quadratus, et quadrato quad ratus datus.
  58. 15
  59. + bc
  60. ide e
  61. 2. Quadratus datus.
  62. 10d. Quadratus
  63. 36+ 9 4 4 _. Quodrato quadratusdatus.
  64. qundo in interis
  65. sive = X bc
  66. abc
  67. 49. Quadratus a 7.
  68. X= ab -ac
  69. seu negativum
  70. quadrato-quadratus postulantur
  71. ab eodem latere du;
  72. nempe tertium.
  73. N. puncta significant quod deletum erat, restituendum (1t) suindi
  74. Ne
  75. A quandocunque quadratus et
  76. Exemplum.
  77. 161) m
  78. n
  79. .(16) Ponatur
  80. (15) ...
  81. 5)
  82. .
  83. (10) Num. 1.
  84. (20) ...- 21
  85. (21) .n. . II
  86. (32) Summa Numerorum:
  87. (23) summa quadratorum.
  88. Exemplum in integris sed func non potest effici, ut quadratus
  89. et quadrato quadratus sint ab eodem latere dato
  90. Retenta eadem explicatione, ipsarum X. b. c. vide 16. 17.18.
  91. (24) Num. Z
  92. (25) .. 11
  93. (6)
  94. -- 1II
  95. 27) summa Numerorum:
  96. 28) summa quadratorum
  97. 2401. Quadrato quadratus a 1.
  98. In integris ergo problema sic proponi
  99. Tres Numeros integros reperire, quorum summa
  100. potest:
  101. quadratus, et summa quad ratorum quadrato- quadratus;
  102. ae ita ut quadratum et quadrato-quadratus sint
  103. ab eodem latere omnium possibilium minimo
  104. 14
  105. semp
  106. d non utao eodem catere dato
  107. 55

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0020?run=74