Of Motion: An Elementary Treatise |
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Page viii
... Magnitude of the latus rectum 21 ib . ib . 23 ib . 24 • 47. Velocity at any point ib . 48. Investigation of the above by means of the differential calculus . 25 CHAPTER IV . OF THE MOTION OF A POINT AFFECTED BY AN ACCELERATION , THE ...
... Magnitude of the latus rectum 21 ib . ib . 23 ib . 24 • 47. Velocity at any point ib . 48. Investigation of the above by means of the differential calculus . 25 CHAPTER IV . OF THE MOTION OF A POINT AFFECTED BY AN ACCELERATION , THE ...
Page 3
... magnitude of the measure of the velocity , so that if a point were to move uniformly along the line , it would arrive at the ex- tremity of it at the end of an unit of time . 8. The Parallelogram of Velocities . " If two adjacent sides ...
... magnitude of the measure of the velocity , so that if a point were to move uniformly along the line , it would arrive at the ex- tremity of it at the end of an unit of time . 8. The Parallelogram of Velocities . " If two adjacent sides ...
Page 5
... magnitude and direction ( Art . 7 ) . 9. This may be extended to space of three dimensions , as follows : C A D B E If OA , OB , OC represent in magnitude and direction three coexistent velocities , OD the diagonal of the parallelepiped ...
... magnitude and direction ( Art . 7 ) . 9. This may be extended to space of three dimensions , as follows : C A D B E If OA , OB , OC represent in magnitude and direction three coexistent velocities , OD the diagonal of the parallelepiped ...
Page 6
... magnitude and direction . This is called compounding the given velocities . For if in space of two dimensions , the velocities along Ox and Oy be given = v1 , v2 , respectively , we have OC2 = OA2 + OB2 , y C B OB tan Cox = OA ' 2 i.e. ...
... magnitude and direction . This is called compounding the given velocities . For if in space of two dimensions , the velocities along Ox and Oy be given = v1 , v2 , respectively , we have OC2 = OA2 + OB2 , y C B OB tan Cox = OA ' 2 i.e. ...
Page 8
... magnitudes of s ' and t ; therefore it is true when s ' and t are indefinitely diminished , in which case v = Limit == Limit = ; because s and s ' are ultimately equal . A. 15. If we employ the differential calculus , we shall obtain ...
... magnitudes of s ' and t ; therefore it is true when s ' and t are indefinitely diminished , in which case v = Limit == Limit = ; because s and s ' are ultimately equal . A. 15. If we employ the differential calculus , we shall obtain ...
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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 cos˛ curve cycloid described determine the motion determined in Arts Differential Calculus direction of motion dt dt dt˛ 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 sin˛ 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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