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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 23r

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: 0.80.

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. 28v); this page is its right half.

The machine reads it as

  1. Vaa + b XX
  2. V aa + c Xx
  3. Extrahatur radix ex demominatore.
  4. a + aa b XX + bc aequ. tX
  5. L.
  6. deneralis
  7. Cu Aequatio ad conicam est:
  8. Ergo 2 a dx f 2a X dx aequry dy. seu dy
  9. aa +2 a x + xX
  10. Ergo dus dus + dx aequix
  11. yy
  12. et dy + dx aeqo dx s (aa +4g7 vel aequ 1 +
  13. seu Elementum curvo conica seu sitar
  14. in raa a X + a xx
  15. eaqu
  16. aequ
  17. Lay + de aqu
  18. dx
  19. 1C
  20. 4 4 a xx f 4aa x + aa xt
  21. paas Xx 4 + a x + a xt
  22. 3ax f a xY
  23. lumerator
  24. et loco x ponendo ( fr+ d
  25. bb
  26. et loce X fiet O aqu. +lg + lfV
  27. aequanta quadrato:
  28. a P et dutevo
  29. erit
  30. X + M XX + nX X
  31. p
  32. m9g 2mgf V +sf vV
  33. x
  34. In g +3ngF V +ngfv +ns v
  35. +pg 14 p9fV+6pY + apof +ps
  36. ce + rdv + devr
  37. + dd or +2dev + ec v
  38. ee aqu. pf4 4 dupse aequ 16pp99) 1 gpgH f+ nnf
  39. conferendo
  40. 3 + 4V + 5 vv +6v + 7 v4+
  41. seu
  42. erit ee aequ7. et adde et dd et cC aequ 3.
  43. et (4) dd ee aequ 62 seu dd aequ
  44. (4
  45. (1)
  46. et AXcd d aequ. 4. seudd aequ
  47. Hos tres valores ipsius dd comparando, ex l est 2 eas in se invicem multiplicando,
  48. ie d aeqo 46 seu dd aequ
  49. 4)3
  50. ab aequando 4 et 3 fer: (4). 5 5y3. 2. 73a. .
  51. (4) 17.3
  52. seu 2t. 3. 4. b + 2. 7. 3 quo valore substiculo in aequ. 3. fiet dd aego 55 - 4. 6- 2. 7. 3
  53. p. 3.
  54. per aequ. 3. est 5 aequ. 4 + (9. 3137 per aequ. 3 et 2 est 5 aequ. 6 4 (8) 7. 13.7
  55. 161
  56. () 7.
  57. Qus duos ipsius 5 valores aequando et: 4. 7. (4 (8). 3. 7. s2D aequ. 6. Z (+ (1 3. 7 f. 72) d est
  58. id est _ 4.7 aequ. 6. 3. Quod jam habuissemus ex aequ. 1. et 2
  59. Rursus multiplicando in se invicem aequ. l et 2. fier daqe
  60. (10)
  61. aequando igitur aequ. 3 et 9 fier 5aqu 2f3.7 +
  62. 62
  63. 6) 4. 6
  64. 4.6 seu dd aequ (4). f2. 7
  65. 4.6 (16). 3. 7.
  66. seulrgo Eciqo 24.7 + 4. 4 6
  67. Ci2
  68. seu
  69. elementum curvae Conica
  70. Sat + aa b XX + DcX
  71. aa +
  72. X
  73. Xx
  74. e
  75. 2ax + a xx aequ’yy
  76. aequ. a + EX dx
  77. Curva conica
  78. Modus quidam
  79. laris comparate
  80. quationes
  81. 4aamr. 4 4a x t e
  82. erfbxtvu
  83. Xaequ + S+bgy abb
  84. V
  85. En x
  86. En
  87. D X + By est 2
  88. aequ. y.
  89. art
  90. aequ y.
  91. quod fieri possit. sumatur
  92. Fraa x
  93. ex D
  94. aa xx
  95. cax + 4 xx
  96. 4
  97. aego a
  98. aqu. h
  99. p2y
  100. aa 4 537
  101. seu agp. a bb + 217
  102. video sic nochaberi exitum revera
  103. enim non est nisi unalitera 9
  104. nam f evanescit sunt autem
  105. duae opus aquationes, ienque hoc
  106. sotum remedium video, ut adhibent
  107. et fracta, seu fiat So+
  108. paqu. LBAR

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 23r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0045?run=74