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 co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point 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 normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular 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 theorem theory tion torsion uniform unit vertical whole wire