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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 152r

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: 0.78.

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

The machine reads it as

  1. BC, y
  2. Ake a
  3. bem
  4. frax- xx = Z et sit nia
  5. sit Z = XV: a et Et v fit K vetAV 7dZ = CB(B)
  6. Ex 1. et 2 fint 2ax - xx = XFBV: aa, seu At X = 24:, aatov, et
  7. dx = - qa vdv: (laat o∞. Ergo crescente X decrescit v vel contra
  8. o KF ad AB seu BH ad AB, fit curva LH, quam
  9. ordinatima policande
  10. in A tangat GH axi
  11. et dx: do. Ergo GB+ + = +a vb: bl auton
  12. Quaeritur Zudo (Z dx, fiet sydx =
  13. quia autem
  14. si seat rectar ult ABG applicetur e rectae a seu AK, nascens recta
  15. VN erit ad VH seu AB, ut BG ad AK seu a
  16. e Ergo
  17. liaea describatur BTN) P N et asymptota ipsi AV, e
  18. a et QAR P(N) q aequabitur Quadranti PXLP, et 2ona
  19. rpp PRVNB aequatur Zouae PKBCD, infinttum autem
  20. eliquam aequabitur scunsegmento ABCA quod quia rinea
  21. abst VN
  22. asguplolos et lamen area mensurabilis
  23. inc patet illud Sy xr dx =16 fd 16a (udv B
  24. vaa
  25. Zdx - 1 (adv. WP
  26. aa(q dx = 25. dv. vv. et a2
  27. XX
  28. aatve
  29. alpoda
  30. et generaliter
  31. e sy dx
  32. en3 38-8
  33. a 25 = 2. a.
  34. C
  35. quaeratur series
  36. dx
  37. 2
  38. 1.d
  39. a
  40. (e s. dv. v0 ss saatvo
  41. -av. VV. PP. Zaat D
  42. pZAX
  43. s Zx
  44. s
  45. X
  46. Cydx
  47. aet
  48. eu
  49. ita ut e sint numeri progressionis Geo metricae duplae 1.2, 1, 2, 4 ek
  50. si e sit 1 tunc desideratur
  51. do. vD
  52. setua tvo
  53. (av. v
  54. quae pendet a quadratura sirculi
  55. Si e sit 4, desi quaeritur sVV. (a a +01) de abjolula
  56. Por est momentum ipsius
  57. aato
  58. aaave
  59. codc id ejusdem
  60. vo do
  61. daatvo
  62. qudo
  63. (2)aatvo
  64. est inventinis cum sovdu
  65. ex Dlu
  66. circuli
  67. d
  68. Aox ax resisaaton
  69. saaivo
  70. BC + aacO = aaV seu vV - aa B + = a-aa, seu
  71. abso.
  72. ente
  73. - aa = a Laa-4c0co. Ergo seov deo, datur ex circuli atura
  74. co qu quoco
  75. 2o Covdo vel suctem pro consideratione
  76. 20
  77. neruenti ex qrea circuli et Hyperbolae quadratura simul
  78. E) aa + vo
  79. ac proinde et
  80. si fsite et 12) 1+ VC 1+ 8 bV + C. em 11, e. ent. e 26
  81. et
  82. 1.2 .
  83. 1.2
  84. Hne in casu quo, e = t, et quo e= -2, pendent
  85. a se invicem duae serces infinitae, seu altera ad
  86. alteram reduci pb. quod actu ipso
  87. praestandum
  88. mo video
  89. Px dariotiam absolute, est enim rax.
  90. =2aaV:
  91. AB. BG = VN
  92. G4. 2 128
  93. e
  94. 25
  95. Nom
  96. -
  97. 2
  98. 2-
  99. expetura
  100. co
  101. 2
  102. aaten

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 152r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0303?run=74