Elements of Natural Philosophy, Volume 1 |
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Page 2
... suppose P T U two tangents , PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P and Q , and the rate of change is to be measured by the ...
... suppose P T U two tangents , PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P and Q , and the rate of change is to be measured by the ...
Page 3
... Suppose a line , drawn through any fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have ...
... Suppose a line , drawn through any fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have ...
Page 4
... Suppose we have a single pulley B , about which the flexible and inextensible cord ABP is wrapped , and suppose its free portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of ...
... Suppose we have a single pulley B , about which the flexible and inextensible cord ABP is wrapped , and suppose its free portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of ...
Page 6
... suppose that , at any instant during the motion , the steam is so adjusted as to keep the train running for some time at a uniform velocity . This is the velocity which the train had at the instant in question . Without supposing any ...
... suppose that , at any instant during the motion , the steam is so adjusted as to keep the train running for some time at a uniform velocity . This is the velocity which the train had at the instant in question . Without supposing any ...
Page 27
... suppose , for simplicity , the two component motions to take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent ...
... suppose , for simplicity , the two component motions to take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic applied attraction axes axis called Cambridge centre of gravity centre of inertia circle co-ordinates component configuration consider constant corresponding cosine couple curvature curve Demy 8vo denote density described diagram direction of motion displacement distance Edited elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square St John's College straight line strain suppose tangent tion torsion uniform unit University of Cambridge vertical whole wire
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