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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 4v

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: 0.68.

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The machine reads it as

  1. fit dax = 1b _ dC - C b44. 2+b9)sc
  2. t
  3. X. a = (0: 1B y: a = D: sb4
  4. et dy = 5b8 d - Vb d P: 2 1b8), : l. B. Et dy. dx = (68 d∞ - ) 6d 4,: (DG 10 -1
  5. Eg d( H d(. Yb): d(D. YbZ) = d (C: Y): d(B: 8)
  6. vi Ergo 1: b4 ( +( Ab Y) d(C 8) Abo +D- Ddrb5 4 do. Od
  7. 518F
  8. 2
  9. m
  10. +
  11. 8+D- DdY
  12. Hinc si X: a = : Q et y: a = D.
  13. erit dus dx quantitas rationalis, et ya ex mulsiplicata per rationati
  14. seu yz
  15. e
  16. (YedO Od 1Z 8dD d- 1)d Y
  17. seu 9: = ((240 - = 018
  18. 21q
  19. 510 - cde
  20. 81D = D8 +
  21. 4d0-= edq
  22. A jam dus: dx = - XX+ gy,: aa fret et sit
  23. da
  24. et et = 34X + 32y + d a, unde
  25. qui
  26. Ry 10
  27. Ss 5d9- L DdY y
  28. tE
  29. anto
  30. ly: dx = E d5 - = Dd,:, dC - = C d4 =
  31. 14
  32. = qu (ux + 12y+ 70V) = qu(1X + 22y+ 201),: a)Xt3
  33. +30 X 20 dx + 30x 20 dy F30y20 dx F30920dy + 3ta 2odx + 31420dy fiat uXX P~ IXX E0
  34. et 129y + 2297=0 et 21. 12 + 2. 27. 22 20 quod inde per se derivatur
  35. +11 = f21 1 12= () 22. fict - 21. 22 = + (4) 11 12 = Ergo + (+) - seu + = (+)
  36. iat
  37. rursus 10.10 +20. 20 = 6. fit 20 = 10 Y- 1 et 2+210. IIaX+2.10. 12 ay I
  38. ustibit a solum in LD+, et in D e
  39. ut fit o(l. 1)a, uxaiy R3cux tidus
  40. 2
  41. E
  42. = ( = = 10. 4, 2. 10. 11, Xdy, 31dX 13 2dy
  43. av + by = ax + l.7 fit Z = ap +bus - aXx L vay +k, et
  44. 4oz tobtrs ax 4 49 2.b. 12 27
  45. 30y + 327
  46. 2. 10. H ax f2, 20, 21 aX
  47. 2(10. HUX (- 2. 4 (7. 1) C 10. 1aX
  48. 3 + +1) 10.449
  49. fint ant bytius = pax ar + bg a bv + 2bg, et t (at bX = 2. 16. 1a, X = y faciendo 4 =, 4
  50. - v, :, y - v,: 2b: erb (at bX = _1. sat b) 4 2by - El V =. V (a b) + 2by
  51. (2+ bx = ate ( = b) V 4 abys
  52. a+ b
  53. 1+ aabb - = a)
  54. = = Ygaabb -a)
  55. est
  56. a - 24 + 4 aab b
  57. sit aa + bb = cC = C
  58. fint
  59. rua bb - a = 4labb -
  60. gnabbes - . (4. 2aabb
  61. va +raacc
  62. asa abi 4c = X D.
  63. -ab
  64. 2bb CC
  65. in aterum mobie ducatus in volocitatem
  66. su dfferentiam iole
  67. e
  68. Nova molilis velotita claricas post ictum habetur
  69. rcta in summam corpora
  70. praestinam ipsius et ux excessus summa seper corporum super
  71. dictum excissum indelocitatem pristinam
  72. alterius. Hinc si excessus. aut rebera
  73. sit negatious, etiam motus ibit retrassa

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0008?run=74