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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 193r

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. 188v); this page is its right half.

The machine reads it as

  1. J W00
  2. ime + rod
  3. 1+5 a
  4. 5
  5. Ergo 1160
  6. 2
  7. mu + rad
  8. Ert ergo aequatio inter
  9. et 28sip
  10. mo + ra
  11. In qua aequatione quatuor sunt arbitiaria quantiates. Atque hac sane
  12. methodo rem commodissime successuam artitroa
  13. X
  14. 15 nx W, X b
  15. Sed ut propositum ab solvamus, ex duabus aequationibus, quarum altera est ad conicamdatam, inter 4y YX sy +X ws. C
  16. OuD
  17. se compositis faciamus unam adcirculum: Si duae sud aequationes nnn ad ope formulae
  18. generalis:
  19. n. item A( 0, iem qu0
  20. le a.
  21. y. x erpa X + ra Xy +rbae ernay 10. Sed notandum,
  22. -g.
  23. =4...
  24. alta. + Vw .. +lc. + es..
  25. =m_ 1. -m.. =m..
  26. DpC. SY Unde reformmando: y X arpa X. + ra XV ad + V Ao Explicem, ordine cognitas hujus aequationis
  27. et primum cognita ipsius X dabit:
  28. asatim
  29. tat.
  30. +- 1Y Su. 2a- mat.
  31. C
  32. + aW
  33. =mW..
  34. va
  35. -imdae - mat.
  36. a _Y + aVa cognita iptius X.
  37. 92 a8a) m quat
  38. e
  39. Hie 1d. 1teda
  40. 8 F.
  41. 4egs.
  42. 2 2 - X
  43. s.-
  44. ade + ad m vda, cognita pura
  45. 11 8Sd
  46. sui
  47. (a = a yd + va 3 qa cognita ipsiuc. V.
  48. e
  49. Pr..
  50. ad
  51. agun
  52. dic
  53. aB si
  54. cdc
  55. u ad
  56. na
  57. 46
  58. sive
  59. sao ou
  60. ad n B- 204 . .
  61. anqn
  62. a sud
  63. a
  64. 4
  65. 6p y
  66. al
  67. p
  68. Cam hoc p1
  69. - et.
  70. +a IpY + da
  71. 10t z
  72. Eo +
  73. =W 171
  74. asu.
  75. y
  76. -2 s. . VZ
  77. med + Y6V
  78. ar
  79. a
  80. Ego E A
  81. sin
  82. d n + co
  83. cm
  84. a
  85. a
  86. Er9
  87. 40
  88. +
  89. as
  90. (22 S.:
  91. 2S V.
  92. 28..
  93. ) S.
  94. V
  95. sed fi hanc cognitam conferas cum cognita ipsius st
  96. aequatio collanitia alsurda, nec pronide ita habebitur
  97. exitus rebebit enim esse 0.
  98. R omedium non abud nunc quidam
  99. video, quam ut diametiis utamur
  100. sectionis Conicae ad quae ordinata oblique
  101. applicetur, unde fit ut pparabolo
  102. ita quidem locus non sit, nisi forte
  103. methodo slusiana quam alibi exacte
  104. verte.
  105. disentiam.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 193r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0387?run=44