Elements of Natural Philosophy, Volume 1 |
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Page 2
... direction unless where the velocity is zero , since ( as we shall afterwards see ) such would imply the action of an infinite force . It is useful to con- sider at the outset various theorems connected with the geometrical notion of the ...
... direction unless where the velocity is zero , since ( as we shall afterwards see ) such would imply the action of an infinite force . It is useful to con- sider at the outset various theorems connected with the geometrical notion of the ...
Page 3
... direction , of an arc of a plane curve , is the angle through which the tangent has turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature divided by its length . Suppose a line ...
... direction , of an arc of a plane curve , is the angle through which the tangent has turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature divided by its length . Suppose a line ...
Page 4
... direction in which the moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , —an extension of the ...
... direction in which the moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , —an extension of the ...
Page 7
... direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ideas thus the train is moving simultaneously northward , eastward , and upward - and the motion as to amount and direction ...
... direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ideas thus the train is moving simultaneously northward , eastward , and upward - and the motion as to amount and direction ...
Page 8
... directions , each component being found by multiplying the whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum of the resolved parts ( in that ...
... directions , each component being found by multiplying the whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum of the resolved parts ( in that ...
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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