Elements of Natural Philosophy, Volume 1 |
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Page 15
... unit of time ; if variable , by the angle which would have been described in unit of time if the angular velocity at the instant in question were maintained constant for so long . In this respect the process is precisely similar to that ...
... unit of time ; if variable , by the angle which would have been described in unit of time if the angular velocity at the instant in question were maintained constant for so long . In this respect the process is precisely similar to that ...
Page 16
... unit angular velocity is that of a point which describes , or would describe , unit angle about a fixed point in unit of time . The usual unit angle is ( as explained in treatises on plane trigonometry ) that which subtends at the ...
... unit angular velocity is that of a point which describes , or would describe , unit angle about a fixed point in unit of time . The usual unit angle is ( as explained in treatises on plane trigonometry ) that which subtends at the ...
Page 47
... unit distance between planes of no distortion . It is easily proved that this is equal to the excess of the ratio of the shear above its reciprocal . 155. The planes of no distortion in a simple shear are clearly the circular sections ...
... unit distance between planes of no distortion . It is easily proved that this is equal to the excess of the ratio of the shear above its reciprocal . 155. The planes of no distortion in a simple shear are clearly the circular sections ...
Page 49
... unit of time , in the fixed space in question , bears to the actual density , at any instant , the same ratio that the rate of acquisition of matter into that space bears to the whole matter in that space . 165. Several references have ...
... unit of time , in the fixed space in question , bears to the actual density , at any instant , the same ratio that the rate of acquisition of matter into that space bears to the whole matter in that space . 165. Several references have ...
Page 53
... units that unit of mass is that.of unit volume of a body of unit density . If the density be not uniform , the equation M = Vp gives the Average ( § 26 ) density ; or , as it is usually called , the Mean density , of the body . It is ...
... units that unit of mass is that.of unit volume of a body of unit density . If the density be not uniform , the equation M = Vp gives the Average ( § 26 ) density ; or , as it is usually called , the Mean density , of the body . It is ...
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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.