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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 67v

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: 0.79.

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. 68r); this page is its left half.

The machine reads it as

  1. sit aequatio a + bx + cy + dxy + fX∞ + g yy + h Xy+ lX s + m4 + n y etc aequ.
  2. quaeratur modus revocundi ipsam ad rationalem pone X aego 3 +4y+ 5Z+ 7yZ +9yy+ 112Z eti
  3. 13 +10y+152+ 177271979+2127 et
  4. et hunc valorem substitie assurgetur ad nonum gradum ubi istae pancae arbihrariae non sutticient,
  5. +C y + dayy + aaqu aequ aco. sit comqu. Cy+ fyy+
  6. PC
  7. Vaa + 2 ex + = XX ax quae est ad sonicam. datio ergo momentum curvo
  8. Conicae ex axe idemque datet quia datur Z2Ex
  9. PC : PG:: PB: PA. seu PZ H
  10. saat cyy
  11. eu GC: et:: Cp. BP
  12. e
  13. VaatEgy
  14. GC
  15. Ergo GC aequ. = 4qa a + a yy.
  16. +
  17. x + 1 aqu
  18. a +x
  19. saateyu
  20. a 5491977
  21. 59q + 2yy +9
  22. (a) + a 5494+977 ( a) 1 P.B
  23. agax ao her saat r 44tsqu tau
  24. + 44 saat yy
  25. =a 549+277
  26. Ergo momentum curvae ex tangente verticis datur ex curvae dimen
  27. Ergo dabitur (Faxsem se Z seu vaaa raxta + = Cit cax farx
  28. sione
  29. 2a x + a xF.
  30. si modo detur: Vaa 2ax + a x + = 1) rax 7 a px ax aequ co do
  31. 2a + a x
  32. huius ergo quaeratur quadratura est enim simplicior. datur autem ejus momentum
  33. ex axe. siu Ccoco dx datur et momentum ejus non quidem omnino ex
  34. vertice, attamen ex recta tangenti verticis parallela, ergo duci potet recta
  35. transiens per ejus centrum gravitatis
  36. jam: aa x + a a aequ. coco
  37. a
  38. vel reducendo omnia ad y. Sagy ae
  39. aayy+ y
  40. a + 149.
  41. (AX51)
  42. yy
  43. y
  44. posito vari sua rax + a xX F t....
  45. aaX + CXX 2a fax aequ colo
  46. y dy. seu coto
  47. N49 + 27y
  48. 2a7ax
  49. vyraa +Ery ay
  50. a
  51. a = ry + a 144497y
  52. aa f 2CX + E XX aequ4Z 2a47 7Z a XX Ergo Xxaqu. aa + ECX - 2Z 2aY
  53. XXq aqu
  54. aequ
  55. aa
  56. aa
  57. 122 4
  58. raxfaxx a
  59. aa
  60. 2aX + a XX
  61. aequ
  62. Z ac
  63. (q
  64. et 22 - E aqu aa
  65. aa
  66. et
  67. aa
  68. f22a -
  69. 17- ac aq 37L 27C+
  70. aa 4.
  71. cax (q ax
  72. aeqo
  73. 27- ac
  74. ergo si detur xxq dabilui e, Xdque
  75. q aequ.
  76. aa
  77. 2ax +ax+
  78. +XX + raa X + aegutaa . a
  79. Da
  80. 27- ac
  81. rax + a xx aequ X v. ergo X aequ 2a
  82. ergo Zago co+ a et fier a aequ. 2∞ seu 2a9v
  83. i
  84. E
  85. Ret g
  86. +
  87. aa on it2
  88. aequ 2ac0
  89. aic
  90. cofligo a - c2
  91. ergo 2aco 2a2
  92. acollatco
  93. aa

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 67v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0136?run=74