Elements of Natural Philosophy, Volume 1 |
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Page 4
... space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB being ... space , and carries with it one end of the cord AB . Hence B moves through half the space B ' did , that is , one fourth ...
... space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB being ... space , and carries with it one end of the cord AB . Hence B moves through half the space B ' did , that is , one fourth ...
Page 6
... space of v feet each second , and therefore vt feet in t seconds , t being any number whatever . Putting s for the space described int seconds , we have s = vt . Thus with unit velocity a point describes unit of space in unit of time ...
... space of v feet each second , and therefore vt feet in t seconds , t being any number whatever . Putting s for the space described int seconds , we have s = vt . Thus with unit velocity a point describes unit of space in unit of time ...
Page 7
... Space described in one second , Ten times the space described in the first tenth of a second , A hundred " " " " hundredth and so on , give nearer and nearer approximations to the velocity at the beginning of the first second . The ...
... Space described in one second , Ten times the space described in the first tenth of a second , A hundred " " " " hundredth and so on , give nearer and nearer approximations to the velocity at the beginning of the first second . The ...
Page 8
... space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ; from A draw AC parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude ...
... space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ; from A draw AC parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude ...
Page 11
... spaces proportional to the squares of the times elapsed since the commencement of the motion . This is the case of a body falling vertically in vacuo under the action of gravity . In this case the space described in any interval is that ...
... spaces proportional to the squares of the times elapsed since the commencement of the motion . This is the case of a body falling vertically in vacuo under the action of gravity . In this case the space described in any interval is that ...
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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.