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 . 1 1 W. THOMSON , P. G. TAIT ...
... 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 . 1 1 W. THOMSON , P. G. TAIT ...
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 ...
... 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 ...
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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.