Of Motion: An Elementary Treatise |
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... independent of any other force acting in the same direction . ( 6 ) And of any force acting in any other direction . ( 7 ) All this is true for variable forces . 106. Mass 107 . F = Ma : determination of the unit of mass 108. Mass ...
... independent of any other force acting in the same direction . ( 6 ) And of any force acting in any other direction . ( 7 ) All this is true for variable forces . 106. Mass 107 . F = Ma : determination of the unit of mass 108. Mass ...
Page 14
... independent variable ; dv ds = v if s be considered independent variable . " The motion has here been supposed rectilinear : if it be cur- vilinear we shall still have v = ds dt as may be seen by comparing " the motion of a point along ...
... independent variable ; dv ds = v if s be considered independent variable . " The motion has here been supposed rectilinear : if it be cur- vilinear we shall still have v = ds dt as may be seen by comparing " the motion of a point along ...
Page 15
... independent variable , this vanishing fraction , being evaluated in the usual way , becomes , after two differentiations , d's dt , as before obtained . A. 32. If x , y , z be the co - ordinates of the moving point at time t , the ...
... independent variable , this vanishing fraction , being evaluated in the usual way , becomes , after two differentiations , d's dt , as before obtained . A. 32. If x , y , z be the co - ordinates of the moving point at time t , the ...
Page 29
... and a , and that the time of a complete oscillation is 4 . π - 2π = 2√λ 玩 position of the moving point . which is independent of the initial ( NEWTON , Prop . 38. ) 55. If the point were not initially at rest , TIME OF OSCILLATION . 29.
... and a , and that the time of a complete oscillation is 4 . π - 2π = 2√λ 玩 position of the moving point . which is independent of the initial ( NEWTON , Prop . 38. ) 55. If the point were not initially at rest , TIME OF OSCILLATION . 29.
Page 40
... independent of the form of the ellipse , and is therefore the same for all ellipses described under accelerations subject to the same law as above , and of the same magnitude at all equal distances . ( NEWTON , Prop . 10. ) 76. ( ij ) ...
... independent of the form of the ellipse , and is therefore the same for all ellipses described under accelerations subject to the same law as above , and of the same magnitude at all equal distances . ( NEWTON , Prop . 10. ) 76. ( ij ) ...
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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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