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Leibniz-Handschriften zur Mathematik LH 35, 6, 19, fol. 12r

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: 0.76.

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

The machine reads it as

  1. V = (dn sa- nt:aa quaeritur per extensionem curvae in rectam. fint
  2. ddm, c- pr : aa = d Bd β +V dV. ita ut β et V possint haberi Algebraice. fiat
  3. aLab Summari potest dep. (i sap - 2p ip. sit 2p = fs + qu
  4. Erit S, ab + Cp +S de :aa = β et ( rent rg. dm. Y aβ - 29 m - B = γ. sed ut aequatio 5identicetur
  5. fiet dip. 2p faa- vip= A daqque
  6. fiet 2 ( Cabb et taa bb + 2 abc n + 2abf (n C + 2cf p + ft
  7. + ec
  8. +rrggap - 2rran -rrgqum 2Yrg.. -rr.
  9. = rrot
  10. e rrap
  11. rrgq
  12. X
  13. X - 1. (M
  14. siet e ff = rr- 1
  15. c= rrq:f c=rrg: ab
  16. Ergo c b f99: a
  17. Exere, sit 255 -2899- r299. farn
  18. Ex ii fit 2rrg9 -25f99 - r 99. ff; at12
  19. Ex (n seu a, fit a + 1g- aabb, : Yrq = p. Ergo atrr AB = r N4. r 4. B ex
  20. id est a
  21. 19
  22. ff9
  23. exiset B.
  24. Er. r +19
  25. 9 (15)
  26. estia
  27. 14)
  28. +q
  29. st
  30. (15)4
  31. DI Ergo experes At +Vf = Y
  32. seu (D 1+2 (Ep ) ergo sit
  33. un + +1)
  34. tem taffrru= seu
  35. . Ergo r = 15+1
  36. 4
  37. e 2
  38. seu (rra - + 9r 9 -Drt = rra - a ( rq seu g rraa, r vr- 1
  39. a
  40. c
  41. c
  42. a
  43. qa hygo fc
  44. seuroua
  45. ra a
  46. se5 seu rtg Aergt q= rra-a si faciamus q a fit r =ad
  47. c
  48. +
  49. c
  50. 2)
  51. (16
  52. et f- 1 et = a 9 Ex 13 fit p= ar 2a p = a + 2a a,: 2a Ce seu p = a
  53. e
  54. 1)
  55. (et ex 9 2a et ex 10 idem). Ex +E fit p- 4aa - 2aa 4a
  56. vel ex aeg. 14 299
  57. 4 unde ex 13, p
  58. Ex 1 et 13 sit a ff+ gf=
  59. Ex 12 et 13, 2er ggf 2fgg r 99 a
  60. a
  61. (15
  62. unde exo b= a + g3: rraga. Ext12 fimu test per E fiet +, g - rgisf,: arr = p
  63. ede
  64. erie
  65. pergl)
  66. seu ex 15, 29u ff - re 9q3. arra f = p seu 299rr-9g- r gq: rss
  67. et a
  68. = arr
  69. sem
  70. q ar
  71. qq 9t seu fiet
  72. c
  73. 4
  74. 4(18) 4
  75. 4
  76. 4
  77. e
  78. (14
  79. valores 14 et 17 aeq vando fiet rra atrrg.q
  80. 4 4 119
  81. t = rrarrq = a (-4) seu rg+9 +rra = rrg + a
  82. 0
  83. c
  84. 4
  85. a rr 4a- rr- 1,.
  86. a - rra: r + 1 = rr. Ex 8 debet esse rp1. sed
  87. ex 19 debet esse rrp r +1 quae duo pugnant inter se, itaque hac ratione
  88. 4(191
  89. (2
  90. Ergo fit 9
  91. quaesitum est impossible
  92. loco
  93. Locor fiat
  94. Ergo aliter attentemus
  95. desideratum redeundo ad 1.
  96. a- : aa e + a = , Id β3a(3 + d)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 19, fol. 12r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068064:0023?run=73