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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 188v

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: 0.65.

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. 193r); this page is its left half.

The machine reads it as

  1. de seroit ergo etiam ad alium praeter inventos reperiendum locum ad
  2. et ad problema pernum redienduus si id commode feri potest.
  3. Si + F 55 + Dt 2 Ca
  4. L 2 ZB 2. Ergo 27 a Z s P B E. Z
  5. st 1Z 8d VZ rZS1-
  6. P ⊓ 5 + 55- 1Z) some
  7. Ergo sum S p v. L Y1 -2 Z E S. p, V - a si BZ
  8. Ergo Aequatio 5+ t bs+t Ba p _ 0. explicatis 43 et S.
  9. substituto scilicet eatum valre invento, fiet:
  10. v2
  11. a
  12. 14...
  13. 13
  14. Esto Conica sectio YV-
  15. X
  16. +Ba p
  17. Aa n
  18. cujus verticem XV YV. tangac
  19. reda indefinita: VV Y (YX. itum
  20. Erit aequatio: 24X + 5 = 2aX + X = +V B C
  21. A Z Ca X n
  22. YB V - s12
  23. e
  24. Et ex aequatione ax + + et o
  25. O v +1 Z
  26. .
  27. LSid PL
  28. 2
  29. et B Sm 2u B+
  30. fier: I o
  31. 22EZ
  32. Ani patet si aeguadim sit si recta Z. sit iusinta aequationem seu si L
  33. sit parallela tangenti verticis aequationem fieri B. + L
  34. Unde erit: V. H Z. vel ~ V B - Z
  35. Jam ex puncto D. ducatur perpendicularis ad (enicam datam d DP.
  36. Erit d y
  37. 4 X
  38. 1
  39. M
  40. n
  41. i a
  42. 1
  43. Et fiet. da + 3a X L aY 4 3 γX 1 0.
  44. D)a
  45. et substitrendu ejus vulorem, fiet: da + 2 a
  46. 10 1
  47. tattu
  48. +fsu...
  49. f1 -1
  50. -a v +3 2 ZV 4a2 5
  51. 2f 1.
  52. 11 2 1t =1 45 .
  53. Brachilium ecusea manus: 49 r 1 Y Da et -a - f p 18. fiet:
  54. ad conicer dab
  55. equato ad (gntram datim:
  56. et alterufs.
  57. or
  58. est
  59. (1)9
  60. 1 X n Z
  61. bon
  62. a
  63. (+ XD Z) = 2 pZ. a Z+ 170.
  64. T.
  65. e Y + con .
  66. 1)-
  67. 2
  68. (1+
  69. = 1 8 sud YZ. pZ la 2 s
  70. +i1 + ee
  71. ie ae.. t. _ B, sab
  72. 2 s.. +
  73. ov + 1 m 2 +Ep2
  74. 6 1.. a p + da
  75. 1 + ov W
  76. a sui
  77. v
  78. fig.4
  79. ad Concom aituus)
  80. ed D + comq + CP
  81. a 2
  82. -25..

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 188v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0378?run=44