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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 145r

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

The machine reads it as

  1. fyyex datur ex fxu videamus jam
  2. quae sit relatio inter qda
  3. Xxdy datur ex fxydx. Videamus jam quae sit relatio nt
  4. inter
  5. et
  6. xydx et Cydx
  7. sit y = a + bX + CXX + dx ext
  8. et
  9. Six sxyixL
  10. le
  11. (ydx = V_ et sxydx = co et Sax sydo = Z seu Z= finosdu
  12. + fX
  13. yaB dx, a + b X + CX2 + d ph + ex
  14. bXx + cx3 + O XE, a de xS
  15. Ca
  16. a X
  17. gax. h + a X + b X + C. X3 + d X + C X ux dZ. X el:Z - h + K = (
  18. xly = dx
  19. Ixydx- Cd = K + Y + a xx + b p + CX + D X
  20. aL. X p. 2pL Co
  21. ax
  22. o
  23. sx) yax = Z = l + hX + a Xx + b x + Cp + X d, Z. X idx = + l: Z + h - t
  24. 1.2
  25. 4.5
  26. 2.3 3.4
  27. dz. X = dZ. X = Zax: X et dz = codx Ergo d Z X = co.)
  28. Ergo diz. X idx = B : X - Z2X = CD + l. Z + h - k
  29. sed nobis id curandum est, ut reperiatur reu co et per (codx
  30. dxsege Y- m + H+ X d x +B sit co ax scolx: x = 2
  31. ientu lastaman
  32. e
  33. X
  34. 1.2
  35. (dx (xgax = 1 - PA saax
  36. X
  37. CH
  38. 2.3
  39. 3
  40. Et fiet
  41. Ax+ bx + C x+ dx + ex etc
  42. tM 1.2 23
  43. Et sit e
  44. s.b
  45. 3.4
  46. 45
  47. Et 2X = -K MX + a x + b X + C X + 6)
  48. 213
  49. 34 4.5
  50. et s- xtXY - m + aX + apX + C x +D x + eX
  51. ax
  52. jam Epdx +xdi = V + Sxydx seu + ec
  53. dX
  54. Ergo 2V + ex C - m +h = V. Ergo exdata Cxydx
  55. Ergo ex
  56. x X sit ex constans. Ergo ex data sxy it sxy datur sy
  57. regularite
  58. jam Exu datur ex data syus. Ergo ex data _ fyus, et sxuu
  59. Ergo ex data syus et sesyus datur sy
  60. sed res applicunda ad exem
  61. plum nam in quadratura. Hyp. et circ. videtur nimium efficere. si bene
  62. succedit, videtur prodesse reductioni curvae Conicae.
  63. si verum est thecrema C, debet calculo verificati
  64. x Xyax + Scya+
  65. da
  66. nem pe
  67. XX
  68. quae res succedit, seu dat identicam. Erous verum est Beorema
  69. sXyax = LHXC LXXy = (XXdy et
  70. S
  71. seu Sydx= sxyaxe +
  72. 1
  73. de
  74. xydx =sydx - L (dx
  75. da
  76. 1
  77. Sax dus. Ergu ex D et Q tit
  78. dX
  79. Sxxdy
  80. ( eren)+ Sxyte

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 145r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0289?run=74