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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 19r

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: 0.71.

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. 18v); this page is its right half.

The machine reads it as

  1. Hyperbola spatium FCBG duplet, fiet.
  2. dimidietur
  3. 1t
  4. 8 15 24 35 48 63 80 gy 120 143)
  5. Sr
  6. 6
  7. 50.
  8. 0
  9. 169
  10. 3
  11. 195 en Y
  12. 195 erc F
  13. 5)
  14. addatur
  15. auferatur: 1
  16. fiet:
  17. +
  18. -.
  19. 120
  20. +5 - = +
  21. - 13 + L = + 1 2 -
  22. 11
  23. 13
  24. 15 C. 28
  25. 45
  26. + = h0() fatio FCBG
  27. L etc B quadranti.
  28. 5 + 8 = 1 etc. sed nihil inde
  29. 28
  30. X == + 2 2 +
  31. quae senes poinde pendet ex punctis
  32. et. c si addatur circuleri et Hyperbolica
  33. sed omnium optima auferendi ratio haec videtur:
  34. -
  35. +
  36. 15
  37. - 1
  38. auferatur 1 - 1 4 1 -
  39. - 2
  40. aufeatu tet..
  41. Ab
  42. 2
  43. +30
  44. Jam 1 = 1 +.
  45. C
  46. =
  47. + 1
  48. 5 +
  49. 1
  50. 10 12
  51. 0
  52. + 5 - 4
  53. 12
  54. +
  55. 132
  56. Ergoi semiciralus = L -1
  57. sive semi circulus
  58. - L
  59. 20
  60. e
  61. 12 + 2
  62. 13
  63. 14
  64. enc
  65. - 1 + 1
  66. 2
  67. Ergo Rccolligendo te sput. FCBG,
  68. Et quad rans spat CBG.
  69. n
  70. Unde sequitur
  71. 12
  72. 2
  73. es
  74. - 3
  75. ~
  76. 30
  77. 15
  78. D 1E)
  79. (+ c
  80. 15
  81. + 1
  82. su
  83. 17
  84. -
  85. iu1 Quadranti
  86. - 1 dimidio suntur
  87. + = -
  88. in
  89. EOH FCBG
  90. erc
  91. 8 gn
  92. 6
  93. erc
  94. 30 56 =g0H , +Z - 1
  95. +1s- +c
  96. (4, 2,
  97. 12
  98. 30 X90
  99. 302 155) er.
  100. 50
  101. et quadrantei
  102. er
  103. duplo Hujus
  104. circulum excedere differentiam quadrantis a rad spatio dicto, dploduplicata serre:
  105. 2
  106. 2
  107. 3o
  108. 90
  109. 2
  110. semicirculum esse aequari. dctrip disferentiae su dimidte spatii Hyperboloci
  111. quud
  112. o
  113. +
  114. 10
  115. 1l
  116. sevu
  117. C8
  118. t70
  119. dranti
  120. quartae parti
  121. spatip FC13G
  122. opio
  123. 6
  124. palu
  125. (6)
  126. 56 72 90 no
  127. et L
  128. 56 132 sit minutum. del -
  129. Esta. Similire eS. differentia dicte D, jeries 2. 3 d Y_L.
  130. Ergo 3D + 2M,, D + 2t. Ego D M LL- M. quae calculo
  131. e
  132. protatio est elegm

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 19r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0037?run=73