Of Motion: An Elementary Treatise |
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Page vii
... direction of a velocity 8. The parallelogram of velocities 9. The parallelepiped of velocities IO . Resolution of a velocity II . Composition of velocities 12 . Resolved part of a given velocity in any given direction 13. Measure of a ...
... direction of a velocity 8. The parallelogram of velocities 9. The parallelepiped of velocities IO . Resolution of a velocity II . Composition of velocities 12 . Resolved part of a given velocity in any given direction 13. Measure of a ...
Page viii
... MOTION OF A POINT AFFECTED BY A CONSTANT ACCELERA- 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 ...
... MOTION OF A POINT AFFECTED BY A CONSTANT ACCELERA- 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 ...
Page x
... motion 105. Experiments to prove it · 1800 57 ib . 58 ( 1 ) A constant force produces a constant acceleration in its own direction . ( 2 ) This is not altered by any initial motion in that direction . ( 3 ) Nor by any initial motion in ...
... motion 105. Experiments to prove it · 1800 57 ib . 58 ( 1 ) A constant force produces a constant acceleration in its own direction . ( 2 ) This is not altered by any initial motion in that direction . ( 3 ) Nor by any initial motion in ...
Page 3
... motion ; or , in other words , if velocities in any one direction be considered positive , those in the opposite direction must be considered negative . We may obviously represent a velocity by a straight line drawn in the direction of the ...
... motion ; or , in other words , if velocities in any one direction be considered positive , those in the opposite direction must be considered negative . We may obviously represent a velocity by a straight line drawn in the direction of the ...
Page 5
... 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 con- structed ...
... 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 con- structed ...
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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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