Elements of Natural Philosophy, Volume 1 |
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Page 3
... parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature . In esti- mating this , we must of course ...
... parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature . In esti- mating this , we must of course ...
Page 4
... parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of the portions AB and PB will be shortened by one - half of PP ' . Hence , when P moves through any space in the direction of the cord ...
... parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of the portions AB and PB will be shortened by one - half of PP ' . Hence , when P moves through any space in the direction of the cord ...
Page 5
... parallel . Of course , if a pulley be fixed , the motion of a point of one end of the cord to or from it involves an equal motion of the other end from or to it . If the strings be not parallel , the relations of a single pulley or of a ...
... parallel . Of course , if a pulley be fixed , the motion of a point of one end of the cord to or from it involves an equal motion of the other end from or to it . If the strings be not parallel , the relations of a single pulley or of a ...
Page 7
... parallel to any three assumed directions at right angles to each other . Thus , for a train moving up an incline in a N.E. direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ...
... parallel to any three assumed directions at right angles to each other . Thus , for a train moving up an incline in a N.E. direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ...
Page 8
... parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude A and direction . OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of any two velocities as OA ...
... parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude A and direction . OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of any two velocities as OA ...
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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