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Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -

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: 0.90.

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The machine reads it as

  1. and B will bC
  2. Flence, il the Body B be at rest, the POInES D
  3. nc, asls e Cale Ot che Elule
  4. LLB.C B: ana doublins ine, COmlequenE TeFMIS O
  5. the Proportion B - ] A. 2 A :: AB, 2CB. Lhac
  6. is in words, As the Asgresare or Sum of the Bodies
  7. srst Lines in che. Figure. And becaule B. A: 3
  8. A C. C B: cheretore by compotiion B-) A. A:
  9. 25 to the double os the movine or strikine Boc)S
  10. u Beelocitys of the strikins Body be before the
  11. Shock. be 1o the Velocity of the Duiescent Body after it.
  12. C OR. 2.
  13. WVheresore, is rhe Bodies A, B are esjual, ete
  14. Sum or Aggresate oF them must DC2. A. Wtience
  15. the Velocier ot the BodY B atter the ShocK, MalI
  16. be equal ro A B, the Velocier oF che Body a bC
  17. Pore ir, and consequenely rhe P’oints P and A beine
  18. coincident, A P che Velocies ot che morins Body
  19. alter the Impulie or Stock, will be = 0; Thac is.
  20. none ac aII. Wrhich also mas be casilr MeW
  21. thus; Because the Bodies A and B are equal, A C
  22. will bc = CB = C D = C F; Wheretore the
  23. poine Will coincide wich A, and consequenes che
  24. Body A atrer che Shock, Will be ac rett, and ctic
  25. Pod B will more rich che Velocier F B Or
  26. Is iberesore a persecttos Flasticte Dody stribe directus
  27. acainst another equal to it, end which is at rest; af-
  28. ter the Shock, the movins Body vill lose all its morion
  29. and the duiescent move on with the Velocity of the
  30. former.
  31. COR. 3
  32. tecte Bodies A and B are equat, aud bortimove
  33. che Pame war, as in Line che Ach oF thie Figure:
  34. thier vill move also boch che lame way afcex che
  35. Stock, and wich chemurual exchange ot their Ve-
  36. locities.
  37. FOr (nCC CF = CD: and A C = C B: C F
  38. A C, chac is F A, must bc = CD -- C B Or
  39. 10 B D. and consequenely the Velocier oFche Body
  40. atrer the Stock will be equal rothar OFB, betore
  41. ic. Besides, lince P A = BD, F. B will bC = AD
  42. and cheretore che Velocirr otche Body B atrer IC
  43. Shock, must be equalro thar oF A betore ic.
  44. COR. 4.
  45. Iche equal Bodies B and A move wich contrary
  46. directions, as in Line the porh of theFisure, chey
  47. vill also aster the Concourse and Shock, move
  48. Concrary wars, and wich cheir Velocities counter
  49. Chariscd.
  50. FOr sincc AC = CB, and CF = CD, AC
  51. =CE, ThaFis, A F must be equal tOC B - CD
  52. Or TOBD; and cheretore che Velocier oFcheBody
  53. A atrer che Strock Will be equal eo that et B, bc-
  54. Fore ir. Besides, since F. A = = BD, AD ril bC
  55. E B. BIE A D expresses che Velociey oF che
  56. Bodr A Betore the Shock, and F. B the Velociry oE
  57. B aster ic, Wheretore che rrurh oE chis Corrollary i5
  58. plain.
  59. Astex chis he Mems a very easie merhod eo bring
  60. chele Theorems ro Practice by a Calcularion in
  61. Numbers.
  62. For suppose (1) che Bodies A and B boch move
  63. ihè lame Way, and. chac che Velocirs os ue precedemt.
  64. Bod7
  65. D E MONS FR AFFO N.
  66. Since che commion Center Oi GraritY OF anY B0-
  67. dies, prores on wich elic lame uniform. Progrestion.
  68. and wich the Pame Velociry boch betore and alter
  69. che Sheet and Impulle, 25 he prores in Theorem 18.
  70. and chac in a Fime equalro chac in whieh che B0
  71. dy A mores che lensch A D, Or the C enter OF GT2
  72. vicy Cmores the lengrh CD; and alrer che Con-
  73. courle, che same Point C Will more che lensch DH
  74. WDC. This beins (0, let R a betatcen equas
  75. Eo CA; then since by Cor. Ot the precedins Theo-
  76. rem, tatins equal Pimes bols Detore and aiter cne
  77. Impulle, che distances oF the Bodiestrom the com-
  78. mon Center of Grariey, Will alivays be equal;
  79. then de Whac cime rhe common Center ol Graviey
  80. wilt De in IE, che Bodr A will be Found to be in a,
  81. ane Cheretore alter the Impulse, ies morion will BC
  82. From D corrards a and irs Velocier will be exprel
  83. sed b)D a, which is che lensch run over in chac
  84. Finte: Buc becanse CF = C D Or rD B C, anc
  85. CA -= F a the disterence berween che righ
  86. Lines CL and C A Will bc equal tothe difference
  87. berween the righe Lines R D and R a; thac is,
  88. F A = D a: Bur the rishe Linc D a expresses the
  89. Velocier ot the Body A alier che Stock or Impulse.
  90. and conseguenls irs Velocur will al(o bC. ex
  91. pressed BV the rigHE Linc F A; Besices, MH. CC MC
  92. relacire relocier of chele Bodies remains the laHe
  93. boch belore and atcer the Strock, and chat cherighe
  94. Line F. A denores che Velocier oF the BOdY A, ThC
  95. Velociry oF the Body B must necessarils atrer the
  96. Impulse be denored by che Line F B, and che di-
  97. ration ot ihe meriom will be crem F. romards B.

Cite

Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0281?run=74