Of Motion: An Elementary Treatise |
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Page iv
... considered the case of those , who , knowing the Differential Calculus , still confine themselves to the elementary portions of the Science of Motion : to such readers it is scarcely sufficient merely to indicate the method to be ...
... considered the case of those , who , knowing the Differential Calculus , still confine themselves to the elementary portions of the Science of Motion : to such readers it is scarcely sufficient merely to indicate the method to be ...
Page v
... considered are brought under the formulæ in the first four chapters . I have rather avoided representing the intensity of a force by the product of the mass moved and the acceleration produced , as the beginner would not be very likely ...
... considered are brought under the formulæ in the first four chapters . I have rather avoided representing the intensity of a force by the product of the mass moved and the acceleration produced , as the beginner would not be very likely ...
Page 3
... 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 , and equal in length to the magnitude of the measure of ...
... 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 , and equal in length to the magnitude of the measure of ...
Page 8
... considered velocity as uniform : but it is plain that the velocity of a moving point may be con- tinually changing , and we must fix a measure for such a velocity . If another point be moving uniformly with that velocity with which the ...
... considered velocity as uniform : but it is plain that the velocity of a moving point may be con- tinually changing , and we must fix a measure for such a velocity . If another point be moving uniformly with that velocity with which the ...
Page 9
... and retardation merely as matters of fact , and not considered as resulting from any particular cause whatever . L. C " and if with the unit of acceleration a velocity v ACCELERATION AND RETARDATION . 9 The parallelepiped of velocities.
... and retardation merely as matters of fact , and not considered as resulting from any particular cause whatever . L. C " and if with the unit of acceleration a velocity v ACCELERATION AND RETARDATION . 9 The parallelepiped of velocities.
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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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