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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 55v

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: 0.73.

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

The machine reads it as

  1. Maji 1670.
  2. euilibet superfice
  3. atrot
  4. Rimensiones curvarum Ellipseos
  5. et Hiperbolae tandem resera
  6. potltione tactae dari et
  7. plnnum aequale: aliso in quolibet casu.
  8. N. quaerendam adime lajic fini superficies convide
  9. AM aequ. y. CMp
  10. PMr Lr- Ly
  11. e
  12. Ary-
  13. 93
  14. et PCH ry - Xy + L r- ry +Y
  15. CH2
  16. est nut
  17. jam
  18. Jam
  19. + ry - Y
  20. 9
  21. HX
  22. 9 qu
  23. 53t- V
  24. e
  25. curvae ex AB. ed ergo datur ex
  26. Habetur ergo momentum curvae Ellisiseos ex
  27. 1 qyg
  28. L9 y
  29. dy p
  30. E
  31. G
  32. +
  33. 4
  34. c
  35. s
  36. B2
  37. momentum
  38. L
  39. BC datur
  40. ex Hyperbolae
  41. quadratus
  42. alic
  43. s
  44. Hinc datur
  45. us
  46. m
  47. aclo
  48. Y momenti ex
  49. ce
  50. a
  51. ex2
  52. 2
  53. AEIt
  54. + 1-F 22
  55. A
  56. Y
  57. porro ejusde
  58. elia
  59. du
  60. X dc. Ergo de P.
  61. dey A F y dus
  62. Ergo seu p2
  63. de y de
  64. seu y de
  65. s
  66. 2
  67. Pous est momentur
  68. E +A B posita circuli quadratura
  69. sctjam: CG1y. GE X.
  70. d
  71. coso
  72. d
  73. sa
  74. un perbolici cima tangentem verticis vel basn
  75. aut aaxem trans vecso
  76. seu
  77. D
  78. 2
  79. 9
  80. et P est ordinata Ellipseos posito 1p Y.
  81. e
  82. e
  83. X 1-
  84. 1- y dy
  85. momentum a BE suppositis his quadraturis. Datur
  86. ergo recta in quam cadit centrum gravitatis harum
  87. duorum curvae CEH. sed idem centrum necessario cadit
  88. in rectam BE. Habetur ergo centrum in duarum rectarum
  89. intersectione. Dato autem centro pavitatis et
  90. E

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 55v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0112?run=74