Of Motion: An Elementary Treatise |
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Page 10
... beginning and end of the time t , v = v ' + at if the motion is accelerated , and vvat if the motion is retarded . This shews that a negative acceleration is identical with a re- tardation , as might have been expected , and henceforth ...
... beginning and end of the time t , v = v ' + at if the motion is accelerated , and vvat if the motion is retarded . This shews that a negative acceleration is identical with a re- tardation , as might have been expected , and henceforth ...
Page 21
... beginning of that interval ; then the whole space passed over would be 0.T + αT.T + α.2T.T + ... + α . ( n − 1 ) T. T ...... = ar2 ( 0 + 1 + 2 + 3 + ... + ( n − 1 ) } --- = απ ' n ( n − 1 ) __ ať2 = - • ( 1 − 1 ) . 2 2 But it is ...
... beginning of that interval ; then the whole space passed over would be 0.T + αT.T + α.2T.T + ... + α . ( n − 1 ) T. T ...... = ar2 ( 0 + 1 + 2 + 3 + ... + ( n − 1 ) } --- = απ ' n ( n − 1 ) __ ať2 = - • ( 1 − 1 ) . 2 2 But it is ...
Page 22
... beginning of the motion . Draw TP parallel to yA . M E F C T V Y N B X Then we shall have TA = v't . TP space due to the acceleration = at2 2 1 Draw PM parallel to TA meeting yA produced in M 22 PARABOLIC MOTION . Parabolic motion.
... beginning of the motion . Draw TP parallel to yA . M E F C T V Y N B X Then we shall have TA = v't . TP space due to the acceleration = at2 2 1 Draw PM parallel to TA meeting yA produced in M 22 PARABOLIC MOTION . Parabolic motion.
Page 27
... beginning of the motion . The acceleration will be expressed by As , where λ = the measure of the acceleration at distance unity . The direction of this is from the moving point to the fixed point ; therefore if we * Investigations of ...
... beginning of the motion . The acceleration will be expressed by As , where λ = the measure of the acceleration at distance unity . The direction of this is from the moving point to the fixed point ; therefore if we * Investigations of ...
Page 30
... beginning of the motion , but from the begin- ning of the hypothetical motion of the second point , i . e . that the time t in the preceding Articles has to be corrected by the quantity 7 . 56. If the direction of the acceleration were ...
... beginning of the motion , but from the begin- ning of the hypothetical motion of the second point , i . e . that the time t in the preceding Articles has to be corrected by the quantity 7 . 56. If the direction of the acceleration were ...
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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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