Elements of Natural Philosophy, Volume 1 |
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Results 1-5 of 52
Page 2
... 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 relation between this angle and the length of the ...
... 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 relation between this angle and the length of the ...
Page 5
... of the centres of the circles which have at each point the same tangent and curvature as the curve PQ . And we may merely mention , as an obvious result of the B 1 . mode of tracing , that the arc qp is equal KINEMATICS . 5.
... of the centres of the circles which have at each point the same tangent and curvature as the curve PQ . And we may merely mention , as an obvious result of the B 1 . mode of tracing , that the arc qp is equal KINEMATICS . 5.
Page 9
... circle , ABD , radius R , with uniform velocity V. Then , to determine the direction of acceleration , we must draw , as below , from a fixed point O , lines OP , OQ , etc. , representing the velocity at A , B , etc. , KINEMATICS . 9.
... circle , ABD , radius R , with uniform velocity V. Then , to determine the direction of acceleration , we must draw , as below , from a fixed point O , lines OP , OQ , etc. , representing the velocity at A , B , etc. , KINEMATICS . 9.
Page 10
... circle whose centre is 0. The direction of acceleration at A is parallel to the tangent at P , that is , is per- pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ...
... circle whose centre is 0. The direction of acceleration at A is parallel to the tangent at P , that is , is per- pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ...
Page 11
... circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide ...
... circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire