Elements of Natural Philosophy, Volume 1 |
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Page 2
... measured by the relation between this angle and the length of the circular arc PQ . Now , if be the angle , s the arc , and r`the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents ...
... measured by the relation between this angle and the length of the circular arc PQ . Now , if be the angle , s the arc , and r`the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents ...
Page 3
... measured as above ; but in a curve which is not plane the third side of the polygon will not be in the same plane with the first two , and therefore the new plane in which the curvature is to be measured is different from the old one ...
... measured as above ; but in a curve which is not plane the third side of the polygon will not be in the same plane with the first two , and therefore the new plane in which the curvature is to be measured is different from the old one ...
Page 4
... measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely ...
... measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely ...
Page 6
... measured by the space passed over in unit of time , and is , in general , expressed in feet or in metres per second ; if very great , as in the case of light , it may be measured in miles per second . It is to be observed that Time is ...
... measured by the space passed over in unit of time , and is , in general , expressed in feet or in metres per second ; if very great , as in the case of light , it may be measured in miles per second . It is to be observed that Time is ...
Page 8
... velocity may of course be either uniform or variable . It is said to be uniform when the point receives equal increments of velocity in equal times , and is then measured by the actual increase of velocity per 8 PRELIMINARY .
... velocity may of course be either uniform or variable . It is said to be uniform when the point receives equal increments of velocity in equal times , and is then measured by the actual increase of velocity per 8 PRELIMINARY .
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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.