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Leibniz-Handschriften zur Mathematik LH 35, 9, 23, fol. 11v

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: 0.80.

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

The machine reads it as

  1. y - E aequ 1+ 3a +
  2. V.d
  3. C- 1
  4. Erguy - 2 b + rab 3ba + a srve + b + ba, br a
  5. e- i
  6. seu:
  7. C - 1
  8. B2
  9. a
  10. b2, b- a
  11. B) b-a7 - bagofa
  12. sa
  13. b
  14. PF ba
  15. a
  16. P) --
  17. via centri est a e-i + i aequ. aetai a et
  18. at
  19. a+ b atb
  20. quae si auteraur ab y-E seu a
  21. L3. 6+ a, = ba, a+b
  22. b
  23. a +b
  24. seu s
  25. seu scubatur _ E, -nacentu t bta, + ba, acb. eri
  26. n
  27. disantiantri gra
  28. 3)
  29. b, a +b
  30. fier y-Ey viacentu be +a c+ 2ba + 3bae, + bi+ ai = 2b a + 3ba
  31. a + b
  32. seu seu si centrum gravitatia aequabiliter, procederet, foret
  33. vi distantia ejus a (B)), sive B)CD aequ.
  34. aequ. 111bta S + bae - 2abi sed falsa haeri
  35. b a+b
  36. aequatio ostendi
  37. enim centrum gravita
  38. tis non progredi eode
  39. do
  40. Procasu repulse similis calculus prodit nempe
  41. (A) (A) erit b- a e-i = i aequ. E.
  42. seu seu e- - 4e+ a;
  43. et by+ aEr aet bi. fier: E,, ac ei= seu
  44. yp ac + bi = aE, ptae +i
  45. 1
  46. h-aE
  47. s
  48. 2
  49. et y (ae -4 e) +a; + 2 e i
  50. et E+ y seu distantia corporum nova eub:
  51. e di q e + ai t
  52. +=a
  53. fiy 3) Hic ge. bi ubi concurrent
  54. e -1
  55. eri ac
  56. ac. qua procederet corpus motum imcurrens in quiescens si
  57. celerito
  58. vis
  59. aeae
  60. a+b nulla esset percussio
  61. efractode aerclicatb
  62. ae-a+b ae aubcui dimidium ge b ab e quib ae
  63. a +b
  64. sii fallor medum harmoni prubr at ) quod diosum per a dabis
  65. b, e quae quantitas quae tota n transibit in corpus B praetereas
  66. 2satb
  67. a celeritate ipsius Aresidum, seu a a, si, e
  68. si nulla esset refe resistentia, foret celehitas post incursum ae
  69. a+
  70. a +b
  71. scil cet ab, e. di2 dentur ipsi b. movebitur) et restabit vis pro
  72. progressu ab habe aequ sae labe +labe, seu a et abe
  73. ∞ a+b
  74. a +
  75. Ca+b
  76. ar 2a +b
  77. sacte+ ae. sive a, ae celiritas communis, cui addatur b ae
  78. celeritaf quae rursus divisa per atb dabit celeritatem communem a
  79. a+
  80. 2 a +
  81. 4 + b
  82. atrabaloe
  83. in addatur Zqe divisa per b siet arb den a E alentus excpientis

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 23, fol. 11v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068148:0022?run=73