Of Motion: An Elementary Treatise |
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Page ix
... initial circumstances Determination of the constants in terms of the axes of the path Velocity = ( semi - conjugate diameter ) Determination of the axes from the initial circumstances 32 ib . ib . 33 • 34 • 35 ib . • 36 37 • 38 39 40 2π ...
... initial circumstances Determination of the constants in terms of the axes of the path Velocity = ( semi - conjugate diameter ) Determination of the axes from the initial circumstances 32 ib . ib . 33 • 34 • 35 ib . • 36 37 • 38 39 40 2π ...
Page x
... initial motion in that direction . ( 3 ) Nor by any initial motion in any other direction . ( 4 ) The acceleration produced varies as the intensity of the force . ( 5 ) It is independent of any other force acting in the same direction ...
... initial motion in that direction . ( 3 ) Nor by any initial motion in any other direction . ( 4 ) The acceleration produced varies as the intensity of the force . ( 5 ) It is independent of any other force acting in the same direction ...
Page 3
... initial distance of the moving point from a fixed point in its path , and s the distance at time t , then s = a + vt , provided that the point be moving away from the fixed point . If however it be moving towards it , s will = a — vt ...
... initial distance of the moving point from a fixed point in its path , and s the distance at time t , then s = a + vt , provided that the point be moving away from the fixed point . If however it be moving towards it , s will = a — vt ...
Page 20
... initial direction of motion . I. First , then , let the direction of the acceleration be coin- cident with the direction of motion : here it is plain that the path will be a straight line . 39. If the point move from rest and pass over ...
... initial direction of motion . I. First , then , let the direction of the acceleration be coin- cident with the direction of motion : here it is plain that the path will be a straight line . 39. If the point move from rest and pass over ...
Page 21
... initial velocity + that due to the acceleration , i . e . v = v ' + at . Also the space passed over + that due to the acceleration , And we shall also have space due to the initial velocity at2 2 i.e. s = v't + . v2 = v'2 + 2atv ' + a2f ...
... initial velocity + that due to the acceleration , i . e . v = v ' + at . Also the space passed over + that due to the acceleration , And we shall also have space due to the initial velocity at2 2 i.e. s = v't + . v2 = v'2 + 2atv ' + a2f ...
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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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