Of Motion: An Elementary Treatise |
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Page iv
... tion ; " and I think that if any editor of Newton should in future replace the words " force " and " body " by " accele- ration " and " point , " he will do good service to the cause of philosophy . But I have also considered the case ...
... tion ; " and I think that if any editor of Newton should in future replace the words " force " and " body " by " accele- ration " and " point , " he will do good service to the cause of philosophy . But I have also considered the case ...
Page viii
... TION , THE DIRECTION OF WHICH IS ALWAYS THE SAME . 20 38. Rectilinear motion at2 39 . 8 = 2 ib . 40. v2 = 2a8 at2 41. s = v't + ; v2 - v'2 = 2as 2 42. Parabolic motion 43. Position of the focus 44. Position of the vertex • 45. Magnitude ...
... TION , THE DIRECTION OF WHICH IS ALWAYS THE SAME . 20 38. Rectilinear motion at2 39 . 8 = 2 ib . 40. v2 = 2a8 at2 41. s = v't + ; v2 - v'2 = 2as 2 42. Parabolic motion 43. Position of the focus 44. Position of the vertex • 45. Magnitude ...
Page 11
... tion , and if a ' , a " be the greatest and least values of the accelera- tion during the time St , then dv < a'st and > a " St ; Sv < a ' , and > a " , St and as a ' , a " have the same limit a when St is indefinitely diminished , we ...
... tion , and if a ' , a " be the greatest and least values of the accelera- tion during the time St , then dv < a'st and > a " St ; Sv < a ' , and > a " , St and as a ' , a " have the same limit a when St is indefinitely diminished , we ...
Page 20
... ... n . ( n + 1 ) __ ať2 2 = - 2 + n ) + α.NT.T ( 1 + 2/1 ) . 1 Again , suppose the point to move for each interval CHAPTER III OF THE MOTION OF A POINT AFFECTED BY A CONSTANT ACCELERA- TION, THE DIRECTION OF WHICH IS ALWAYS THE SAME.
... ... n . ( n + 1 ) __ ať2 2 = - 2 + n ) + α.NT.T ( 1 + 2/1 ) . 1 Again , suppose the point to move for each interval CHAPTER III OF THE MOTION OF A POINT AFFECTED BY A CONSTANT ACCELERA- TION, THE DIRECTION OF WHICH IS ALWAYS THE SAME.
Page 32
... tion of the equation a = de or dv 2 dv dt ' or va being given in ds terms of t , v , or s by the conditions of the problem . 61. ( II ) Let the initial direction of motion not pass through the fixed point ; then it is clear that the ...
... tion of the equation a = de or dv 2 dv dt ' or va being given in ds terms of t , v , or s by the conditions of the problem . 61. ( II ) Let the initial direction of motion not pass through the fixed point ; then it is clear that the ...
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Common terms and phrases
accele acceleration produced axes axis balls center of force chord circle complete oscillation conic section constant acceleration cos² curve cycloid described determine the motion determined in Arts Differential Calculus direction of motion dt dt dt² earth's effect elastic ellipse equal equation fixed point focus force acting force of constraint force varying geometrical horizontal hyperbola impact impulse inclined plane inelastic initial direction initially at rest instant Ipswich School latus rectum Law of Motion length lowest point magnitude measure moving point NEWTON obtained Octavo orbit parabola parallelogram particle path perpendicular point of projection quantity of matter radius vector Second Edition Sermons shew sin² space passed straight line string supposed tangent tion Treatise Trinity College University of Cambridge v₁ versin vertex vis viva weight whence
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