Elements of Natural Philosophy, Volume 1 |
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Page 1
... means of translating , as it were , from Kinematics into Dynamics , and vice versa . This is merely mentioned now in order to show the necessity for , and the value of , the preliminary matter we are about to introduce . 6. Thus it ...
... means of translating , as it were , from Kinematics into Dynamics , and vice versa . This is merely mentioned now in order to show the necessity for , and the value of , the preliminary matter we are about to introduce . 6. Thus it ...
Page 11
... mean and hence its value at the middle of the interval must be the mean of its first and last values . In symbols ; if at time t = 0 the velocity was V , then at time t it is v = V + at . Also the space ( x ) described is equal to the ...
... mean and hence its value at the middle of the interval must be the mean of its first and last values . In symbols ; if at time t = 0 the velocity was V , then at time t it is v = V + at . Also the space ( x ) described is equal to the ...
Page 16
... mean angular velocity . 59. When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may easily be shown that it varies inversely ...
... mean angular velocity . 59. When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may easily be shown that it varies inversely ...
Page 20
... mean position or the middle of its range . Epoch in angular measure is the angle described on the circle of reference in the period of time defined as the epoch . The Period of a simple harmonic motion is the time which elapses from any ...
... mean position or the middle of its range . Epoch in angular measure is the angle described on the circle of reference in the period of time defined as the epoch . The Period of a simple harmonic motion is the time which elapses from any ...
Page 23
... mean water ) of the lunar tide alone , is about 95 of a lunar hour , that is , '98 of a solar hour ( being the same part of 12 lunar hours that 28 ° 26 ' , or the angle whose 1 sine is is of 360 ° ) . This maximum deviation will be in ...
... mean water ) of the lunar tide alone , is about 95 of a lunar hour , that is , '98 of a solar hour ( being the same part of 12 lunar hours that 28 ° 26 ' , or the angle whose 1 sine is is of 360 ° ) . This maximum deviation will be in ...
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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.