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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 62r

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: 0.73.

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. 61v); this page is its right half.

The machine reads it as

  1. (177
  2. da
  3. 16)
  4. Hunc valorem
  5. residua, fer:
  6. + 485]3
  7. cot
  8. t 3uaY
  9. Est2
  10. +2a7055
  11. c
  12. + a at
  13. ipsius ar
  14. Cos
  15. 170
  16. Ergo
  17. a
  18. c0
  19. do
  20. co repertum inserendo in aequatione
  21. 2
  22. X + sa a X + 40 a+
  23. c0n
  24. 0
  25. incognita X plane evanescet et poterunt omnia dividi
  26. per Xt. Idem est quambeuaque durobus terminis excerptis
  27. G. valor ipsius a quaentur.
  28. Sed quid si tres simul termini nihilo ponantur, v.g. tres
  29. intermedii ponendo: 5 X + 8, IX + a X 1o
  30. c
  31. iet: _ si X + a IX f a)
  32. co
  33. cor 10.
  34. co3
  35. Ul rem excemplo clarius tractemus: Esto aequatio V 4
  36. v
  37. y+ + 4 MV + ad
  38. corsd
  39. al
  40. c025.
  41. Y
  42. + a cV + de oV B
  43. 1
  44. cor
  45. c04
  46. Ponamus Q n Y3 + a x y + a y p0.
  47. cd
  48. co
  49. sive n y + a Xy + a C B0. Euit y
  50. co
  51. cor
  52. (17) Eit s + ea y + ata
  53. (8)
  54. N
  55. co
  56. v
  57. c n
  58. ata
  59. +co no qcono
  60. et y + avx
  61. a S+
  62. ∞ 2C0n co
  63. 4n
  64. a+o
  65. co
  66. aon
  67. ps es
  68. Ergo inseondo valore ipsius V in aequatione residna y
  69. e
  70. c mvemetur valor ipsius 6, si modo non alia quam
  71. negativa
  72. quadrato qua dratica a quadratica esse ponatur modo scilicet
  73. si Itaque si duo n’in proposito problmate duis obtinere possum
  74. aequatione problema ponatur esse in Numeris et 6 sit quam
  75. titas quadrato quadratica negativa et non nesii uno termino
  76. it
  77. 2 0e
  78. reperiatur; in quem y non ducitur et ex 5- o possit
  79. extrahitradii, solutae utqu habebitur utique in numeris solutio
  80. problematis. Et tanto laris habebitur, si Or sit negativum
  81. quadratum tantum.
  82. X X + ap X
  83. sed ipa satis concta.
  84. d
  85. + af 5 - a qu=
  86. t
  87. fer
  88. rudicem, fiet: X + a La qx - ar + Pa etI
  89. extrahendo
  90. Eugo ex AX ar + debet extrahi posse radio, ideoque pro X substimamus
  91. q a Bq + YZ+ da
  92. et abet extrati radio exaq
  93. ed hoc displicet quoniam extracta radice demuo facienda esset extractio
  94. u su su aequrtona ins
  95. 2
  96. +4 31
  97. +
  98. 11
  99. 13)
  100. 4)
  101. oumuus.
  102. Ex
  103. a
  104. Uendle euone
  105. s.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 62r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0123?run=74