Elements of Natural Philosophy, Volume 1 |
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Page 68
... solid or hollow spheres of the same external diameter , and of different metals . Again , if we find a case in which different bodies , each acted on by a force , acquire in the same time the same changes of velocity , the forces must ...
... solid or hollow spheres of the same external diameter , and of different metals . Again , if we find a case in which different bodies , each acted on by a force , acquire in the same time the same changes of velocity , the forces must ...
Page 72
... solid of the first system ( see chapter on Properties of Matter ) are kinetically symmetrical . A rigid body is kinetically symmetrical about an axis when this axis is one of the principal axes through the centre of inertia , and the ...
... solid of the first system ( see chapter on Properties of Matter ) are kinetically symmetrical . A rigid body is kinetically symmetrical about an axis when this axis is one of the principal axes through the centre of inertia , and the ...
Page 75
... solids sliding upon one another ; ( 2 ) resistances due to the viscosity of fluids , or imperfect elasticity of solids ; ( 3 ) resistances due to the induction of electric currents ; ( 4 ) resistances due to varying magnetization under ...
... solids sliding upon one another ; ( 2 ) resistances due to the viscosity of fluids , or imperfect elasticity of solids ; ( 3 ) resistances due to the induction of electric currents ; ( 4 ) resistances due to varying magnetization under ...
Page 76
... solid . But the existence of the sun would prevent any such state of things from being permanent . There would be solar tides - twice high water and twice low water — in the period of the earth's revolution relatively to the sun ( that ...
... solid . But the existence of the sun would prevent any such state of things from being permanent . There would be solar tides - twice high water and twice low water — in the period of the earth's revolution relatively to the sun ( that ...
Page 77
... solids sliding on solids , except in a few instances in which we shall consider the general character and ultimate results of effects produced by viscosity of fluids , imperfect elasticity of solids , imperfect electric conduction , or ...
... solids sliding on solids , except in a few instances in which we shall consider the general character and ultimate results of effects produced by viscosity of fluids , imperfect elasticity of solids , imperfect electric conduction , or ...
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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.