Elements of Natural Philosophy, Volume 1 |
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Page 2
... radius , § 54 ) and therefore 0 8 = 1 2 . re = s , is the measure of the curvature . Hence the cur- vature of a circle is inversely as its radius , and is measured , in terms of the proper unit of curvature , simply by the reciprocal of ...
... radius , § 54 ) and therefore 0 8 = 1 2 . re = s , is the measure of the curvature . Hence the cur- vature of a circle is inversely as its radius , and is measured , in terms of the proper unit of curvature , simply by the reciprocal of ...
Page 9
... 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.
... 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
... radius AC . Now P describes the circle PQS , while A describes ABD . Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore equal to V R V or V2 R ' and this ( § 35 ) is the amount of the acceleration in ...
... radius AC . Now P describes the circle PQS , while A describes ABD . Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore equal to V R V or V2 R ' and this ( § 35 ) is the amount of the acceleration in ...
Page 11
... radius R , with velocity V , the whole acceleration is directed towards the centre , and has the constant value V2 R See $ 36 . 43. With uniform acceleration in the direction of motion , a point describes spaces proportional to the ...
... radius R , with velocity V , the whole acceleration is directed towards the centre , and has the constant value V2 R See $ 36 . 43. With uniform acceleration in the direction of motion , a point describes spaces proportional to the ...
Page 12
... radius - vector are proportional to the times employed . This includes the case of a satellite or planet revolving about its primary , according to Kepler's first law . Evidently there is no acceleration perpendicular to the plane con ...
... radius - vector are proportional to the times employed . This includes the case of a satellite or planet revolving about its primary , according to Kepler's first law . Evidently there is no acceleration perpendicular to the plane con ...
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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