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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 176r

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: 0.75.

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

The machine reads it as

  1. sit y= -
  2. Et
  3. ydx =
  4. Xy- fyax +(xdu t faxdy
  5. AX, X XY, y
  6. an
  7. q=
  8. aL, Z
  9. primum d est et quodlibet dx est I, primum dus est
  10. seu 2X2Y
  11. primum dx est AIX, primum dq est 1Z1E = 2X2Y
  12. CD seu XZ =D (Zdx + sxdzue + faxdze
  13. seu ABCd=, IZIXBC3Z2F2ZIF1Z~D = szdx
  14. do X
  15. eeae
  16. lie1CIF+ 2E2F+GC = (dxdi
  17. ax = 1 dy=
  18. jam erit
  19. et ((Xdu = (1 =
  20. plu
  21. seu DC
  22. i
  23. Xy -1 seu DG. ABHD - 1VX = ssER Z + DGin A.V
  24. et saxdzue = = sX
  25. sed ABHD est Xtd in D + dZ, seu X+I in (: +
  26. Ergo ra
  27. seu
  28. X
  29. X
  30. y = 5y
  31. ABCD, _ seu rectangulum ultimorum X et
  32. X
  33. A1Z 3-1Z. V. D_DC 22.E1L = sxdzue
  34. (seu ultimum rectangulum demto primo, eut
  35. 2dx + (xdque + sdxde.
  36. primum X est A, - primum Z est
  37. AB
  38. fint y - (L
  39. Ky - 1
  40. S
  41. s sa
  42. X
  43. ( 1 = 1 =
  44. X = DG
  45. X
  46. -
  47. da
  48. X+1.
  49. s= + DG(+s =
  50. Sd X
  51. sed haec doctrina summarum sumdralium necuratius
  52. si
  53. s
  54. ila fieret X
  55. constituenda
  56. Generaliter si simul erescant X et Z, fit
  57. T_ (aX)Ltaz
  58. -
  59. sult X + dx) (ult Z + dZ) (prim. X. prim. Z) = (∞ dx + (XdZ + (dxdZ
  60. +
  61. SXa
  62. ubi semper dx et dz intelliguntur proxime sequentes X et Z
  63. spee
  64. refert quae progressio ipsarum, X et Z. Hinc posito Z esse propressio
  65. nis Geimetricae et X Arithmericae habetur sX. IX. Hinc et similiter xess
  66. quaero adhuc ((
  67. bex - y XX - log. V et fe
  68. xdxdy. 9 Ergo habetur su bux in cinealibus. ques haberetur
  69. .X
  70. ylus si petys
  71. tAR
  72. xsibt epau ax. Fgax, si habeatur spdy pay vlogu=
  73. erog. Geoui torxug
  74. 1F
  75. -
  76. 2one
  77. 2E.
  78. 2X
  79. 3X
  80. AX
  81. 12
  82. C

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 176r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0351?run=74