Elements of Natural Philosophy, Volume 1 |
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Results 6-10 of 82
Page 10
... angle between the direction of the acceleration and the line along which it is to be resolved . 38. When a point moves in a curve the whole acceleration may be resolved into two parts , one in the direction of the motion and equal to ...
... angle between the direction of the acceleration and the line along which it is to be resolved . 38. When a point moves in a curve the whole acceleration may be resolved into two parts , one in the direction of the motion and equal to ...
Page 15
... angle about S in the plane of the orbit . If APB be a parabola , AY is a straight line . But if another point U be taken in VS produced , so that YS SU is constant , the locus of U is easily seen to be a circle . Hence the proposition ...
... angle about S in the plane of the orbit . If APB be a parabola , AY is a straight line . But if another point U be taken in VS produced , so that YS SU is constant , the locus of U is easily seen to be a circle . Hence the proposition ...
Page 16
... angle about a fixed point in unit of time . The usual unit angle is ( as explained in treatises on plane trigonometry ) that which subtends at the centre of a circle an arc whose length is equal 180 ° to the radius ; being an angle of ...
... angle about a fixed point in unit of time . The usual unit angle is ( as explained in treatises on plane trigonometry ) that which subtends at the centre of a circle an arc whose length is equal 180 ° to the radius ; being an angle of ...
Page 17
... angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has turned . Hence ( 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed , proves that if the hodograph be a circle ...
... angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has turned . Hence ( 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed , proves that if the hodograph be a circle ...
Page 20
... angle described on the circle of reference in the period of time defined as the epoch . The Period of a simple harmonic motion is the time which elapses from any instant until the moving point again moves in the same direction through ...
... angle described on the circle of reference in the period of time defined as the epoch . The Period of a simple harmonic motion is the time which elapses from any instant until the moving point again moves in the same direction through ...
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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