Elements of Natural Philosophy, Volume 1 |
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... corresponding pages of the larger work . A great portion of the present volume has been in type since the autumn of 1863 , and has been printed for the use of our classes each autumn since that date . W. THOMSON , P. G. TAIT . November ...
... corresponding pages of the larger work . A great portion of the present volume has been in type since the autumn of 1863 , and has been printed for the use of our classes each autumn since that date . W. THOMSON , P. G. TAIT . November ...
Page 3
... corresponding property is conveniently called Tortuosity . 12. The nature of this will be best understood by considering the curve as a polygon whose sides are indefinitely small . Any two consecutive sides , of course , lie in a plane ...
... corresponding property is conveniently called Tortuosity . 12. The nature of this will be best understood by considering the curve as a polygon whose sides are indefinitely small . Any two consecutive sides , of course , lie in a plane ...
Page 14
... corresponding time ; and also that the tangent to the hodograph is parallel to the direction , and the velocity in the hodograph is equal to the amount of the acceleration of the moving point . When the hodograph and its origin , and ...
... corresponding time ; and also that the tangent to the hodograph is parallel to the direction , and the velocity in the hodograph is equal to the amount of the acceleration of the moving point . When the hodograph and its origin , and ...
Page 17
... corresponding angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has turned . Hence ( 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed , proves that if the hodograph be ...
... corresponding angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has turned . Hence ( 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed , proves that if the hodograph be ...
Page 23
... corresponding distances of the moving point from its mean position . In the case of a single simple harmonic motion , the corresponding curve would be that described by the point P in § 66 , if , while Q maintained its uniform circular ...
... corresponding distances of the moving point from its mean position . In the case of a single simple harmonic motion , the corresponding curve would be that described by the point P in § 66 , if , while Q maintained its uniform circular ...
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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