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Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 13r

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: 0.81.

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

The machine reads it as

  1. Gy + Xx = a la . sit y= 10X + v. et
  2. fiet 10. 10 ∞X + 2. 1OXV FB = la -vD = XZ
  3. 100. 00 sit X = 1V + W. unde erit
  4. la -W = 2 ∞Z + WVZ, seu vB + ivZ= la - W1Z - vY
  5. sit v= la -10Z3:4 et v + 11Z -Y et
  6. la - WZ r 1Z - y, seu la - 1Z + 17 1 = 1p1
  7. la - vr = la - llaa + 2lalio z- 101022,: ep Y
  8. Xhta 11V F 1, Z = ula qZue - 111ZZ,: 4
  9. tn Yipla - Haa + 2la toz - 101oZ7 - vlazp. 11lo 32 Y
  10. sit W -12 1 + a et Z = 134 + l
  11. et
  12. fiet Ta) = 12. 13 2p (p - 1 2l1 - 13 alp (= a1)
  13. + 11. B3( 1 lyd = 7. erga
  14. -12. 13)- 12l - 13 a + 11. 13Y F 11l = V, et
  15. tandem (= t FH + 12) (1 - 12) 13
  16. WY = (11 - 12)l =13a,, 1 + ey r3
  17. Hec jam fieri poterat quand vn +uBZ=a
  18. fiat enim N = 14b + a et Z= 15V + l et fiet
  19. v0 = 11VZ = (a) = 14 - 15VV - 14 lv - 15 avC la
  20. seu v + 117 = 14. 15B - 14l = 15a, et po Z ponend.
  21. paloum habebimus: v + 11.15B+ UL= 14. 150 - 14 l = 15a. BC
  22. V (14. - 11 = 9)15 = (14 tidl+5a et tursus ob aequatione
  23. 10.10 X L 2. 1oV = Z X = 1+n F a Z= 15V +C
  24. 0. V
  25. v. lch 1D + 10. 6 a + 3. 10B = 15V, +
  26. qy + XXL la y =10X + V et fiet
  27. + 10. lOXX + 2. 10, 89V X t000 vV. 00. 00 la
  28. fint pla = vV = XZ. sitex 2 1B + 00 et fict
  29. +10.00 17
  30. et Z = 12 V + 00l. et fiet plannem
  31. 10
  32. 0. 12 av (+ 00. ou la
  33. 00 n lV
  34. seu fit 00.00v = 1. nV +00. na. Pon ex ae4. 3 et 4
  35. 0. 11 l
  36. fit + 10. 10X + 2110.00 V 2 00.00Z. Et habemus
  37. pro X, D, Z, aeg9, 9, 8, G, 5.
  38. 00.00
  39. Bib) UIB + 10i t0 3 v0a + 2. 10. 10. 00B, = 00. 00 12V + 05)
  40. si esset 10.10 a + 00. 00 a = 00l. seu 10. 10 = v0. 00l = o2 v0 a
  41. vs sucederet, sed ha nn lint nisi a minor mudlit C, et
  42. tunc non potest, redit eni quaesitum
  43. Rediumus ad 4 fine landob = 11Z + 00 aZ
  44. et li ab X = WV + 00 W et fiet
  45. fiet d la - Woz = vip
  46. la - vb a HYZ + 00 WZ
  47. Y sit v = 12W + 6700 et fir l + = Z1d = 121044009
  48. yy tXX = la y = 1oX F vo V fit 101OXX + 2. volox V + 00. 0utM- la
  49. au
  50. la = Vn = 2 20lX fit 13. 10 X = 200. 10v = 20l
  51. X= I1V
  52. lano sit X = ( 1V + db Z fit la = 1LIFB B 2. B∞ H YZ
  53. la -ve = ot 20 1d t eoque 10. 1 lv + 201Z
  54. V = 127 + et 6107 11V + 1010
  55. 10. W + 687.7 = 149., sit 10 =1. 7
  56. 19. 4 1. 1. 7.7 + 2 1.7. 3 + 3.3 = 149 fin
  57. fit 149 - 3. 3 7. U
  58. et (1. 1. 9 +1) 7 + 2. 1. 3 = 11
  59. 7 = . 3+
  60. fit 14q = 12. 3. 3 ∞ 1+ 23. 1 + B- 1. 1. ~ 2.3
  61. sit 149 - 3. 3 = 2. 3. 11 - 1. 11
  62. 149 - H + 2.3.1 +3.3 = 149 - 11. 1 = 3. 12
  63. et 2. 81 + 3 - 12 et p 3= 1. 13

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 13r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068000:0025?run=73