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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 218r

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: 0.81.

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. 222v); this page is its right half.

The machine reads it as

  1. Muud hoc de parallesis
  2. summe memorabile si detur
  3. superficies rolatione uniue genta,
  4. qu etiam rolatione alteriu
  5. genitam num differpul tantum
  6. rectangulo, quia su
  7. momenta habentur applicatina
  8. perpendictorium ad axem
  9. Hina habetur et Eodem
  10. modo utique et ad basiu. itaque
  11. detur momentum curvae e
  12. parallelu ponhabolae non est parabola nam in caleasum eus
  13. ingreditur adhac alra paralueter praeter a, nempe b.
  14. AB aequ. X. BC aequ. y. BD aequ. a.
  15. 2aX aequ. y. cd aequ. b. AEaequ. Z. EDaequ. B
  16. (2) Cpsta B siab
  17. BE, X.Z BBa
  18. pert
  19. avel
  20. la
  21. 2a
  22. 20
  23. e
  24. saxta
  25. = 1
  26. Frax
  27. aiqu. aet a
  28. al
  29. t sya
  30. a
  31. + 1
  32. 2 aequ = - 1
  33. syre
  34. aque
  35. n
  36. 2
  37. -3 2 +Z
  38. aequi 4at a3
  39. 2(25) 74 ego 8- 2vy +y
  40. v
  41. a
  42. a
  43. Traxtae
  44. fier: (B’yr aego a 240) a Lavy t
  45. Ergo soro b
  46. YZ fet: 6u9
  47. v2-2Vy + yr (37) vy-1vy + 2av. 20ytraz7
  48. 2av - 2ay +2azy
  49. jam si ob aequ. 25. jungas 26,E7.
  50. + b.
  51. 2aev. pay trajy
  52. fier: 1- lay
  53. cago vy iprar
  54. 2av- ay + 2azy
  55. b
  56. aequ vy - 2vy +rav - 3ay + 2477
  57. 2av-ay + 202y1
  58. ay
  59. a ex h. = aequ C - 1. seu Y aequ. 2a Z + 2a0 - 24
  60. - 28 +1 aequ e= 2ea +a
  61. Y tae aequ a
  62. 2ax
  63. (14) ab
  64. -1 aeq
  65. Errax
  66. b2
  67. qu ab per aequ. 5fi: agu 2 +1
  68. (12)
  69. (24)
  70. posito baequa fier - aey
  71. faciamus v aequ eY. fie
  72. et ex 23. fiei 6
  73. reat aequ ez
  74. y
  75. 2axta sta
  76. 2ax
  77. 24
  78. Ergo fit: v - Z aqu _ v -1 per 20 et 2)
  79. dimansionem plic rursus b2 (23, 20
  80. jar video erore )
  81. applicatio fit alio
  82. qui
  83. 6)
  84. a
  85. du v - 4X + 47X - rar
  86. Vhan +a
  87. 62 Ytar aequ - 2∞ +1
  88. aequ. n u + 2aZ
  89. aequ
  90. et
  91. a
  92. a
  93. seu X. Z +a aequ. ~. seu N- 21Z + 2ra +3- iha tae (9
  94. a
  95. seu per 9 aq. br
  96. 2a
  97. inglerea dimensio (er 2. fier: sog-
  98. summerae mempabile
  99. ex dimensione se
  100. perre
  101. Sraxtae L.
  102. b+ Marqa
  103. seax
  104. 2aX Trax (16)
  105. uniusune) per aequ. 3. fiet: Y - Z aqu. ab
  106. mentu aliquod et
  107. habebitur et plterius
  108. habemus ergosem
  109. unius praralletam
  110. omnium. imo
  111. in loco.
  112. aque
  113. Ergo X- Z aequ ab. seu Zaequ. x - ab
  114. aqu
  115. 2x
  116. niniue et ex axi et exbasi seu v 20
  117. dabitu et altrum
  118. Hinc si retur curvae
  119. t
  120. DE, v (5)
  121. a
  122. qu. f e 2
  123. 5
  124. paralle la

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 218r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0435?run=74