Elements of Natural Philosophy, Volume 1 |
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Page 21
... sides of the parallelogram . P and P ' be two points executing simple harmonic motions of one period , and in one line B'BCAA ' . Let Q and Let be the uniformly moving points in the relative circles . On CQ and CO P C B B ' describe a ...
... sides of the parallelogram . P and P ' be two points executing simple harmonic motions of one period , and in one line B'BCAA ' . Let Q and Let be the uniformly moving points in the relative circles . On CQ and CO P C B B ' describe a ...
Page 22
... sides of the parallelogram , will oscillate on each side of the greater radius to a maximum deviation amounting on either side to the angle whose sine is the less radius divided by the greater , and reached when the less radius deviates ...
... sides of the parallelogram , will oscillate on each side of the greater radius to a maximum deviation amounting on either side to the angle whose sine is the less radius divided by the greater , and reached when the less radius deviates ...
Page 31
... as if the polygon 0,020 , etc. , rolled upon the fixed polygon 0,0203 , etc. 1 By supposing the successive displacements small enough , the sides of these polygons gradually diminish , and the polygons finally KINEMATICS . 31.
... as if the polygon 0,020 , etc. , rolled upon the fixed polygon 0,0203 , etc. 1 By supposing the successive displacements small enough , the sides of these polygons gradually diminish , and the polygons finally KINEMATICS . 31.
Page 35
... sides is the resultant axis . Again , if Bb be drawn perpendicular to OA , and if be the angular velocity about OI , the whole displacement of B may evidently be represented either by Hence w.Bb or .IB . : w :: Bb : Iß :: O1 : Op . And ...
... sides is the resultant axis . Again , if Bb be drawn perpendicular to OA , and if be the angular velocity about OI , the whole displacement of B may evidently be represented either by Hence w.Bb or .IB . : w :: Bb : Iß :: O1 : Op . And ...
Page 39
... side of the points bends away from the same side of its tangent plane , and the curvatures of all normal sections are similarly directed . Thus we may divide curved surfaces into Anti- clastic and Synclastic . A saddle gives a good ...
... side of the points bends away from the same side of its tangent plane , and the curvatures of all normal sections are similarly directed . Thus we may divide curved surfaces into Anti- clastic and Synclastic . A saddle gives a good ...
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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