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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 54r

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: 0.76.

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. 55v); this page is its right half.

The machine reads it as

  1. cD
  2. DF V ax
  3. CDwVaraz +b222
  4. FFV ab , ax
  5. ca 2ia 262- 2a262+6a24246222
  6. Conferatur son
  7. traluu XY - d by
  8. 62
  9. ndeo
  10. X Sa tbIE
  11. unde β X 3+ allax- aex + ry
  12. Yn
  13. arer 1b222
  14. a2b4222a26323 + c262 ∞4
  15. aab2X2 = 2a 4b X 3 + a2c2 24
  16. 2b4
  17. cognitur
  18. y +X ( a
  19. problema: Data basi Trianguli, pectangulo sub duobus
  20. lateribus, et angulo a uno ad basin, reliqua invenire.
  21. Esto DE basis = a. VEG
  22. In Triangulo CDE esto data basis DE = a. angulus CDE, et
  23. rectangulur CDX C CE. Dabitur ergo ed recta GE,. = b.
  24. eritque Esto CF -X erit X = DF ideoque DF = ax : et
  25. DF a et scit 6D = a X + bX sie X aerbe et CD = X aut
  26. EF L a = aX, ejus et EF = a = 2ax + a X = a b- 2abx + ax
  27. et CE = a.b - 2a bX + ae X + b X et BE, C X - rab X s
  28. Ergo e CD CE = t arrat
  29. 61 Ergo X e l D
  30. Ergo conditio de rectangulo inepte adjicitro
  31. ontra si ditio de rectangulo nepte adjicitu
  32. rectangulum. Omisso ergo angulo, quaeramus
  33. a seu CDB a
  34. ae
  35. 1
  36. E Ergo CE
  37. eot
  38. axti
  39. ca
  40. 1 + 2b
  41. 14 X
  42. est aequatio ad Paribolam seu cLY
  43. et cum proposita ad ciiculum ceo
  44. habolae
  45. + b+ 4 X
  46. diet agu
  47. gulum
  48. posito ram a = 1. fiet.
  49. Erit ergo CDCGEB a X
  50. Ergo a X y quae
  51. cvcu
  52. o
  53. ab
  54. AEb
  55. 2ab
  56. 1b2X + bX L C.
  57. 4 -2
  58. + b3X
  59. 23 + H
  60. =2 62
  61. +b2
  62. X : C-1 = 0.
  63. sollatur secundus terminus, poneuto Zu f 2b +b3 Sublato secundo termino, patet problema esse planum
  64. trage spt
  65. n CF DsC
  66. DZV a
  67. C auterut by X, C b3 a X
  68. la cont m
  69. friore ad circulum
  70. dat aequatioum
  71. arbr-2a2ba tar
  72. unius incognitae, renge X a a X quae est plana
  73. fit ergo problema planum
  74. sBIBLIOTHBEA
  75. RBCEA
  76. X HANHOVENAie
  77. arib2 vr
  78. CF=X. XA = Y
  79. CD= fa X +b X = 7 sa 2b
  80. FE=a bX et F5 = a 6 bx eX
  81. fiet Y+ X = a b-x + A
  82. seu V +k. X + 24X - a = 0
  83. locus est ciurculus
  84. XC sa , 6. 2y = da
  85. Ieu x = dab locus est Hyperbola
  86. ratio
  87. b2
  88. v
  89. B+
  90. E
  91. a
  92. C= cognita
  93. productum ex DCCE
  94. a
  95. CX b
  96. DEVC
  97. ab
  98. dea
  99. a
  100. cEcd 1 at - 2a x+c
  101. b2 - 2a2b∞ + c2X2
  102. et ab 8 fiet C5 dL 2243Y
  103. Cab
  104. LaX a
  105. 2a 4bx3 -2 a2c2 X4
  106. ∞ dab4.
  107. b 2ex+X d
  108. seue
  109. =
  110. vel Ce seb. 2 ex +X
  111. o
  112. eb - 2 ex + X d
  113. miletu
  114. C
  115. . 0v.
  116. e + X ves +∞
  117. 2
  118. e
  119. Aitc

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 54r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0107?run=74