Elements of Natural Philosophy |
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... methods employed are , almost without exception , limited to those of the most elementary geometry , algebra , and trigonometry . Where higher methods are required for an investigation , the reader is , in general , simply referred to ...
... methods employed are , almost without exception , limited to those of the most elementary geometry , algebra , and trigonometry . Where higher methods are required for an investigation , the reader is , in general , simply referred to ...
Page 7
... method most commonly employed , whether we deal with velocities , or ( as we shall do farther on ) with accelerations and forces , consists in studying , not the velocity , accele ration , or force , directly , but its resolved parts ...
... method most commonly employed , whether we deal with velocities , or ( as we shall do farther on ) with accelerations and forces , consists in studying , not the velocity , accele ration , or force , directly , but its resolved parts ...
Page 19
... methods of effecting such a com- bination in the simple case of the movements of two points are useful in scientific ... method is preferable : - E B CF and ED are rods of equal length moving freely round a pivot at P , which passes ...
... methods of effecting such a com- bination in the simple case of the movements of two points are useful in scientific ... method is preferable : - E B CF and ED are rods of equal length moving freely round a pivot at P , which passes ...
Page 21
... methods in use , with the crank , provided always the ro- tatory motion of the crank be uniform . 73. The velocity of a point executing a Q simple harmonic motion is a simple harmonic function of the time , a quarter of a period earlier ...
... methods in use , with the crank , provided always the ro- tatory motion of the crank be uniform . 73. The velocity of a point executing a Q simple harmonic motion is a simple harmonic function of the time , a quarter of a period earlier ...
Page 27
... methods of obtaining such combinations will be after- wards described , as well as cases of their occurrence in Optics and Acoustics . We may suppose , for simplicity , the two component motions to take place in perpendicular directions ...
... methods of obtaining such combinations will be after- wards described , as well as cases of their occurrence in Optics and Acoustics . We may suppose , for simplicity , the two component motions to take place in perpendicular directions ...
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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 cord corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 tion torsion uniform unit vertical weight whole wire