Elements of Natural Philosophy, Volume 1 |
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Page 1
... Observation and experiment have afforded us the 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 ...
... Observation and experiment have afforded us the 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 ...
Page 6
... observe here , that since , by our formula , we have generally $ v = " and since nothing has been said as to the magnitudes of s and t , we may take these as small as we choose . Thus we get the same result whether we derive v from the ...
... observe here , that since , by our formula , we have generally $ v = " and since nothing has been said as to the magnitudes of s and t , we may take these as small as we choose . Thus we get the same result whether we derive v from the ...
Page 17
... observe ; and , in all probability , sun and stars are moving on ( it may be with incon- ceivable rapidity ) relatively to other bodies in space . We must there- fore consider how , from the actual motions of a set of bodies , we may ...
... observe ; and , in all probability , sun and stars are moving on ( it may be with incon- ceivable rapidity ) relatively to other bodies in space . We must there- fore consider how , from the actual motions of a set of bodies , we may ...
Page 52
... observation or experiment . How such experience is to be conducted will form the subject of a subsequent chapter . 172. We cannot do better , at all events in commencing , than follow Newton somewhat closely . Indeed the introduction to ...
... observation or experiment . How such experience is to be conducted will form the subject of a subsequent chapter . 172. We cannot do better , at all events in commencing , than follow Newton somewhat closely . Indeed the introduction to ...
Page 56
... observation is made . Thus , let W be the mass of a body in pounds ; g the velocity it would acquire in falling for a second under the influence of its weight , or the earth's attraction diminished by centrifugal force ; and Pits weight ...
... observation is made . Thus , let W be the mass of a body in pounds ; g the velocity it would acquire in falling for a second under the influence of its weight , or the earth's attraction diminished by centrifugal force ; and Pits weight ...
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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 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 P₂ 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 theorem 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.