Elements of Natural Philosophy, Volume 1 |
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Page 27
... corresponding mode of description will be described in § 104. It may be exhibited experimentally as the path of a pendulum , hung so as to be free to move in any vertical plane through its point of suspension , and containing in its ...
... corresponding mode of description will be described in § 104. It may be exhibited experimentally as the path of a pendulum , hung so as to be free to move in any vertical plane through its point of suspension , and containing in its ...
Page 31
... corresponds , as we have O 02 Ost 요 O 03 04 seen , to an elementary rotation about some point in the plane . Let 0 ,, 0 , 0 , etc. , be the successive points of the figure about which the rotations take place , 01 , 02 , 03 , etc ...
... corresponds , as we have O 02 Ost 요 O 03 04 seen , to an elementary rotation about some point in the plane . Let 0 ,, 0 , 0 , etc. , be the successive points of the figure about which the rotations take place , 01 , 02 , 03 , etc ...
Page 37
... corresponds to the edge , DE , of the upper board , must be traced on the cylinder so as always to make a con- stant angle with its generating lines ( § 128 ) . A hollow mould taken from the screw itself forms what is called the nut ...
... corresponds to the edge , DE , of the upper board , must be traced on the cylinder so as always to make a con- stant angle with its generating lines ( § 128 ) . A hollow mould taken from the screw itself forms what is called the nut ...
Page 39
... corresponding sur- face is concave . R G Hence the angular velocity of the rolling curve is in this case equal to the product of the linear velocity of the point of contact into the sum or difference of the curvatures , according as the ...
... corresponding sur- face is concave . R G Hence the angular velocity of the rolling curve is in this case equal to the product of the linear velocity of the point of contact into the sum or difference of the curvatures , according as the ...
Page 43
... corresponding parameters parallel ) when altered according to the altered condition of the body , remain similar and similarly situated among one another . 139. The lengths of parallel lines of the body remain in the same proportion to ...
... corresponding parameters parallel ) when altered according to the altered condition of the body , remain similar and similarly situated among one another . 139. The lengths of parallel lines of the body remain in the same proportion to ...
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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.