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Leibniz-Handschriften zur Mathematik LH 35, 9, 5, fol. 20r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 21v); this page is its right half.

The machine reads it as

  1. sptta
  2. Tempora t. Velocitates v,
  3. spatia
  4. ds ut v dt. E
  5. But Ergo At ut ds: v et v ut ds: d+
  6. etsut suat et + ut sds: v
  7. Si gravi continue accelerato uniformiter socundum tempora
  8. ubique resistatur proportione velocitatum secundum spatia
  9. videamus quomodo iniendus sit calculus. Siit tempora t.
  10. a pravitate
  11. vet Ex natura accelerationis, accessiones veloci-
  12. tatis a vitate, sunt ut adV1: 5 u ex natura
  13. decessiones
  14. diminutionis a spatio sunt ut ds v, ergo
  15. dv = dsa: 5 = ds dv:a
  16. si jam temporis assumantur aequalia v 4: dt
  17. meremunta
  18. erunt vut dsL jam si ds constans piet: do =ds: at
  19. et fiet - 1: at = Sa: 5 - v: a seu dt = l: d- ta : 5 + v: a
  20. si tempus sequamum posio quam spatium erunt accessiones
  21. velocitatum at t. Sed suspectum videtur spatio alligare
  22. accelerationes, periude ac si spatium a resistentia non
  23. diminuerebur. Res ergo ad tempora revocanda est
  24. quae sunt independentia. Itaque ex natura accelera,
  25. tionis a gravitate, accessiones velocitatis sunt ut dt. F seu at. t: a
  26. ex natura diminutionis a spatio decessiones velocitatum,
  27. sunt ut ds V s seu d5v: a, et feljam v = at t: a - ds v:a
  28. per generalia ds = V dt: a ergo ds v: a = at Wv: aa
  29. Lds
  30. et fiet. dv = st F: a = dt vD: aa fer dv = ds sas a v. +
  31. sit v - 1 t + 2t +3t + 4 f + 5f dc
  32. + VV = 1t4()t +(2) 1. 31 +() c. 4 t +(2) 15 f0
  33. +
  34. V= a+ ) ait La rtZC)a3t aSt + (3 a6Y
  35. + 1.1F+)12 1.3. 14 15
  36. 2.2 . 2.3
  37. 1.2.4
  38. 3.3
  39. = dv -- 1 - (2) 2t - B) 3t = (2) at - (5) 5F (6)61 - (7) 3t
  40. - + = - +
  41. s
  42. otandu hac etsi hic ca
  43. s
  44. non pertineat
  45. 5=(1. AA
  46. sa av. laa vv dot vat Hoestoem proviali poterat, ea as -vat. Numeri quorum invicem ductu sips denominato ret sunt.
  47. Sin pro tponas (a5 a: v, et pro Et Bd5 a: v
  48. + 22 l +(2)2. 3 l + ()2. 4
  49. V = a + 1t +2 t + 3++ 4 ++5 f t0
  50. e
  51. 2
  52. 240+1 wel 5+8+1
  53. 4
  54. t.
  55. 2R, + 1) 215+1
  56. C
  57. 3
  58. D:a
  59. 15
  60. interscribendum
  61. erravi sunt potiu
  62. et simplintem
  63. ut patet
  64. Ergo ad4 1 = a = (1)
  65. 2= (2) (1b: (2) = (1: 2)
  66. 3= 1F : 3 = : 3)
  67. 4=
  68. 2.2: 34 1,: 4 = (7: 4
  69. 2. 7:4+ 2. 2.3+1: 2. 2
  70. = a2 +16 +37. 12
  71. :12
  72. si a= 0. fit etiam 1=0
  73. et fiet 2 = 1 (15E
  74. urie
  75. et
  76. 1:
  77. dd
  78. et
  79. 2.5.
  80. dicti
  81. o
  82. 13
  83. 1=0
  84. C

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 5, fol. 20r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068129:0039?run=73