Elements of Natural Philosophy, Volume 1 |
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... less trouble and anxiety , and would probably have ensured a better result , had we written the volume anew without keeping the larger book constantly before us . The sole justification of the course we have pur- sued is that wherever ...
... less trouble and anxiety , and would probably have ensured a better result , had we written the volume anew without keeping the larger book constantly before us . The sole justification of the course we have pur- sued is that wherever ...
Page 6
... less as the space passed over in a given time is greater or less : and it may be uniform , i.e. the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in ...
... less as the space passed over in a given time is greater or less : and it may be uniform , i.e. the same at every instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in ...
Page 11
... less than this mean as its value at the same time after the middle of the interval is greater than 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 ...
... less than this mean as its value at the same time after the middle of the interval is greater than 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 ...
Page 20
... less closely in the motion of the piston of a steam - engine connected , by any of the several methods in use , with the crank , provided always the ro- tatory motion of the crank be uniform . A Α ' 73. The velocity of a point executing ...
... less closely in the motion of the piston of a steam - engine connected , by any of the several methods in use , with the crank , provided always the ro- tatory motion of the crank be uniform . A Α ' 73. The velocity of a point executing ...
Page 22
... less of the two radii constituting the sides of the parallelogram , will oscillate on each side of the greater radius to a maximum deviation amounting on either side to the angle whose sine is the less radius divided by the greater ...
... less of the two radii constituting the sides of the parallelogram , will oscillate on each side of the greater radius to a maximum deviation amounting on either side to the angle whose sine is the less radius divided by the greater ...
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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.