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Leibniz-Handschriften zur Mathematik LH 35, 9, 23, fol. 5r

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: 0.86.

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. 4v); this page is its right half.

The machine reads it as

  1. Cum corpus minus incurrit in majus certum est minus repelli
  2. Videamue saltem an hoc conciliari possit cum via cextri gravi
  3. eatis eadem manente. Nam quando corpus inajus-
  4. incurrit in minus eadem manet via centri gravitatis.
  5. A (A) in via celeritas incursus vocetur se. aequal. A
  6. A(A) aequ. AR. aequ; A(B) aequ. A(C) aegu. e.
  7. AC q b, et AC + BCY 8. ergo AC ⊓ e - BC
  8. BC et rursus AC aequ. b BC. ergo s - BC p BC
  9. 1+ 4
  10. a + b
  11. a + b
  12. ergo et C(C) aequ. e. est enim (BC aespe (C) C.
  13. (A) ((B) distantia sit d patet fore . B)CC) aqut
  14. et ((AD ((C) aequ.
  15. a + b
  16. 1+B
  17. Rorro BD(C) + CD (C) aequ. B) (C)
  18. et (B)) _(C) hoc loco (B) (B) seu p: ergo y aaequ. a d + K
  19. a +
  20. seu a d + a +p e est autem a Y d aequ y +E
  21. a + b
  22. et aE + by aequ ae Ex his jam eruendum
  23. quod quaeritur aequationes sunt d aequ. y + E
  24. seu y aequ. a A(B)
  25. a + b
  26. a +b
  27. denique aE + by aequ. ae
  28. e
  29. tollenda primum d fic: 3 aegu. X E + 2, e seu
  30. a+
  31. a+b
  32. fiet (ay) + byo aequ (ay) + aE + ae su fiet:
  33. by - AE aequ. ae. at rursus by + aE aequ. ae
  34. a +b
  35. ergo (by - aE aqu (b9) + aE, seu 2a210. quod
  36. est absurdum. E
  37. Et vero ut rem carculo exutam in lineis demonstrare
  38. majus operae pretium erit. Si via centri gravitatis
  39. in easdem procedit partes, seu si (() (CD aequ. () C, utique
  40. erit (B) (B) major quam (C) AC) Et si () repellitur erit ( )
  41. sed fingatur esse aequalis erit, utique vis iptius B corpora B nove
  42. acquisita yb, serit a be + m. et seu major
  43. quam b in (4. (C) vel C (1)
  44. a +
  45. vis autum corporis al qua
  46. resellitur sit aliqua aE vantulaunque utrque paet
  47. utique quia vis non augetur, debet, yb +aE aequari ac
  48. id est ae arba + m, + aE debet aequari ac
  49. a, aea jam CD(A) aegu. 4) V m
  50. seu m + a EM per X l atb 1 a+ b
  51. n
  52. andi si auferatur AD (C) seu = e. fiet E.
  53. nY2a p
  54. b a +b
  55. Ergo
  56. qua
  57. b
  58. a +b
  59. abe Auqu. E, at idem E aequ.
  60. + e
  61. seu
  62. I
  63. abp a +
  64. ae tab+ b
  65. Ergo
  66. at b atb
  67. a e - m
  68. a+b
  69. i ab+ nab + m
  70. m’a + m ab + m
  71. ab, a+ b
  72. In quibus nullum video absandum, nam fiet:
  73. As
  74. 1eo
  75. e li C
  76. alB e Brraro S

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 23, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068148:0009?run=73