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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 91r

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: 0.77.

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. 90v); this page is its right half.

The machine reads it as

  1. Sed hoc non obstante problena esse planum ex ipsa hac investigatione nostra delegit
  2. A
  3. quod non patet ex Cartesiana. Patet emmi nihil aliud quam investigandam esse
  4. + uta. Adeo tantum opussit, ipsius puncti A. distantiam a vertice, et
  5. ali
  6. puacti L quaesiti it et ipsius CF a center data ipsius AE abale, detur statum differentia
  7. inter LM quaesitam seu et et ordinatam ex Hyperbo la ad Asymploton. Qua ipsa
  8. antem ordin al dabituo quia dabitur abscissu, data diffeontra ineo AC et abscissem ad
  9. centro. Unde intellisi potes problema reducendum opeartis (ombinatoriae
  10. ad modum determinandi omnes casus possibiles singularum ejus conditionum, utiles atque
  11. inutiles, unde denique utiles etigantur
  12. AB= X. AE = a BC = c
  13. B2 = 1+x. DC= BC =c
  14. ACa P2 = SaX
  15. Ego De= ca- = y. Ergo 3=
  16. sa +X
  17. et pro X posito aZ seu Z- x.i
  18. et pro y posito aV, siu r= y fiet:
  19. a at =
  20. a a)
  21. eq u
  22. a seur= C
  23. ataz
  24. a +Z
  25. seu posito a +Z = 5, fiet Y = c
  26. seu a. Locu rgo omnium est Hyerbola
  27. est auter s= a+ X. positaque X= a. in casu
  28. putest B0
  29. ipsum
  30. Aperbolae contrum Ergo Y- c
  31. Ca = y
  32. n AD = a hoc loco BC- B5 = sa a- c
  33. X AB
  34. BE = sat
  35. Ergo a sa tX = X Sa t X - XC
  36. seu sat aux = -x (seu
  37. a +X C a - 2 a+ + X = + Z
  38. 1 - e
  39. X a
  40. X
  41. Ta tX
  42. raa
  43. Duet
  44. a +
  45. rate
  46. Eg a sa 1∞ + CX = X va
  47. X = AB a- y 1
  48. -1
  49. pro y sar
  50. fet a a se q
  51. vaz asar a
  52. ergo saz= a- sar
  53. seu aZ = a - 2 Par + ar
  54. sed bevius quia 4 = =. erit X = a- y
  55. et y = a - X.
  56. a-y
  57. ergo ca = a - X Ergo
  58. 1ae+X
  59. c’a = a -2ax1 X
  60. a +X
  61. Jam utrumque ta
  62. cubo de a - X = p3 = a
  63. 43asant arm Ergo aru am az iHar.
  64. 2
  65. a
  66. o
  67. ac proinde arta 2aer-2arZ + a 2a7 a
  68. =a
  69. seu Y 147 = a - sar et 7=
  70. satzai
  71. Ergo sat Se
  72. a +
  73. satZ
  74. aor ex
  75. san= 4. Ego A +
  76. atr
  77. art
  78. = a
  79. unde 4 pa = ca
  80. ac sublata secundo termino
  81. probeema fit planum.
  82. seu sazt sia La
  83. eda Say = a - J
  84. seu 47+ e+2
  85. Ergo Z.
  86. +
  87. en
  88. at
  89. 1-
  90. 712
  91. 2
  92. prcanie au
  93. ti
  94. = a.
  95. let.
  96. +-22
  97. t
  98. 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 91r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0183?run=74