Of Motion: An Elementary Treatise |
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Page viii
... point ib . 48. Investigation of the above by means of the differential calculus . 25 CHAPTER IV . OF THE MOTION OF A POINT AFFECTED BY AN ACCELERATION , THE DIRECTION OF WHICH ALWAYS PASSES THROUGH A FIXED POINT . 50. The two kinds of ...
... point ib . 48. Investigation of the above by means of the differential calculus . 25 CHAPTER IV . OF THE MOTION OF A POINT AFFECTED BY AN ACCELERATION , THE DIRECTION OF WHICH ALWAYS PASSES THROUGH A FIXED POINT . 50. The two kinds of ...
Page 3
... 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 . - This shews that if we write v ...
... 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 . - This shews that if we write v ...
Page 8
... 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 proposed point is moving at the instant under consideration , this velocity is ...
... 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 proposed point is moving at the instant under consideration , this velocity is ...
Page 10
... fix the unit of acceleration to be that owing to which the unit of velocity is acquired by the moving point in the unit of time , and the measure of any acce- leration to be the velocity which is acquired in the unit of time . An ...
... fix the unit of acceleration to be that owing to which the unit of velocity is acquired by the moving point in the unit of time , and the measure of any acce- leration to be the velocity which is acquired in the unit of time . An ...
Page 16
... fixed . d2r That cannot represent the acceleration in the direction of OP may be con- dt2 cluded from the ... point would move in a straight line ; therefore when d2r dt2 = 0 there is yet an acceleration existing towards the pole ...
... fixed . d2r That cannot represent the acceleration in the direction of OP may be con- dt2 cluded from the ... point would move in a straight line ; therefore when d2r dt2 = 0 there is yet an acceleration existing towards the pole ...
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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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