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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 122r

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: 0.68.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. in circulo ax - X Y a. diameter X sinus versus.
  2. +3 x p+ Z
  3. a.
  4. a
  5. a3
  6. e
  7. )+ V. X
  8. Cp + sx A X
  9. X P y + yX +y X
  10. x H
  11. Xp
  12. 1
  13. X p
  14. 1x4
  15. Y +2pX - y+ + Y
  16. n
  17. xx
  18. YX. y4
  19. Y + 3YX -2 y4
  20. +4yx - 3yt +Y
  21. X p s + 3X, seu X - Y X y. seu Xp d
  22. yXe 8 X- 5 et YX - XI - y. et XI3
  23. Ne ergo contraria semul concludantur considerandum hoc est, quia sumus
  24. XHI y +y X, tunc si V et X sint ominores unitale fore Xp YX
  25. Ergo X - Y Xp s. et XpY. Posteriore autem modo ratiocinari
  26. y
  27. non licet, ner detrahere, qu isi quod constet esse minus.
  28. posset tanda sumi 3p 1. modo X sit minor, et tunc omnia
  29. fient contraria X, autem necessario major, alioqui tolisenes
  30. infinita non esset vera.
  31. Y p
  32. d
  33. 2.
  34. V +5y X -4y + 3y =2y X
  35. Notanda ac solvendi difficultas icum dicitur:
  36. potuisse et dici:
  37. a
  38. x.
  39. x-
  40. s
  41. a
  42. 0
  43. m
  44. X
  45. V X- 3YX
  46. +x
  47. -3y X
  48. xp
  49. -5y4 6 y1
  50. 1 - 6y+ 5Y - 2y
  51. 5
  52. 1-6y 45y. 3y
  53. LXB
  54. 15y
  55. Ex his jam satis upparet quomodo quomodo gine
  56. neteriore calculo propiores temper ac propiores ipsius
  57. valores invenir possint
  58. Quarum differentiae
  59. hipsi X
  60. semper X in 1 -X p 3)
  61. Forte re recte expensa additiones et negationes alternantur. Videndum es minam
  62. ex aequa duabqs aequationis radicibus salisfiat Videtur quin etiam ees
  63. appropinquationesi, c per con sequens ex appropinquationibus series in meris integris
  64. obtineri posse. si t tali scilicet modo misceantur quanti dates, sive aequationes et deter
  65. minationes, ut divisio fieri possit residuis sempeo commode suppletis, poterunt scilicet
  66. ascribi aequationes in certos quantitates aut formulas ductae, aliaque id genus. Sed cavendum
  67. re su pes io cuu ies mniear
  68. N2. et dividendo
  69. rec
  70. 3
  71. liac
  72. X P
  73. 2
  74. Xp
  75. X p
  76. yt
  77. ponamus a 1.
  78. Y2-1y+
  79. +- 2y2
  80. Y - 244
  81. e
  82. 2
  83. x 1
  84. Xe
  85. 1- x 1 - 2y
  86. - y2
  87. 1= X 1 - 2y
  88. 1= 352
  89. 1-297
  90. y. 3yt ry 1- xr.-ay 42gt
  91. P- 4y+2y4
  92. V
  93. .
  94. - 4y +33
  95. 1- 5y 1y
  96. 1-3y+1y7
  97. 1Xe.-5y +272
  98. 14y 12y
  99. y
  100. Yap
  101. AH axuy
  102. seuxx.y
  103. ss
  104. +rx. yta

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 122r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0243?run=74