Elements of Natural Philosophy, Volume 1 |
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Page 4
... surface ; in practice ( to escape as much as possible of the inevitable friction ) it is a wheel , on part of whose circumference the cord is wrapped . P ' iP B ( 1 ) Suppose we have a single pulley B , about which the flexible and ...
... surface ; in practice ( to escape as much as possible of the inevitable friction ) it is a wheel , on part of whose circumference the cord is wrapped . P ' iP B ( 1 ) Suppose we have a single pulley B , about which the flexible and ...
Page 16
... surface , diminishes according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector ...
... surface , diminishes according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector ...
Page 34
... surface within the body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of ...
... surface within the body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of ...
Page 36
... surface . Thus we see that if a spherical polygon turns about its angular points in succession , always keeping on the spherical surface , and if the angle through which it turns about each point is twice the supplement of the angle of ...
... surface . Thus we see that if a spherical polygon turns about its angular points in succession , always keeping on the spherical surface , and if the angle through which it turns about each point is twice the supplement of the angle of ...
Page 37
... surface of a vertical right cylinder , the motion of DF parallel to AC will become a rotation about the axis of the cylinder , and the necessary accompaniment of vertical motion will remain un- changed . As it is evident that all ...
... surface of a vertical right cylinder , the motion of DF parallel to AC will become a rotation about the axis of the cylinder , and the necessary accompaniment of vertical motion will remain un- changed . As it is evident that all ...
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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.