Elements of Natural Philosophy, Volume 1 |
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Page 2
... circular arc PQ . Now , if be the angle , s the arc , and r the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents , and as the measure of an angle is the ratio of the arc to the ...
... circular arc PQ . Now , if be the angle , s the arc , and r the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents , and as the measure of an angle is the ratio of the arc to the ...
Page 10
... circular path ABD . 37. The whole acceleration in any direction is the sum of the components ( in that direction ) of the accelerations parallel to any three rectangular axes - each component acceleration being found by the same rule as ...
... circular path ABD . 37. The whole acceleration in any direction is the sum of the components ( in that direction ) of the accelerations parallel to any three rectangular axes - each component acceleration being found by the same rule as ...
Page 11
... circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone . 42. When a point moves uniformly in a circle of radius R , with velocity V , the whole acceleration is directed towards the ...
... circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone . 42. When a point moves uniformly in a circle of radius R , with velocity V , the whole acceleration is directed towards the ...
Page 15
... circular locus of Z is the hodograph turned through a right 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 ...
... circular locus of Z is the hodograph turned through a right 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 ...
Page 19
... circular orbit about its primary , and be viewed from a very distant position in the plane of its orbit , it will appear to move backwards and forwards in Q Α 0 Α ' a straight line with a simple harmonic motion . This is nearly the case ...
... circular orbit about its primary , and be viewed from a very distant position in the plane of its orbit , it will appear to move backwards and forwards in Q Α 0 Α ' a straight line with a simple harmonic motion . This is nearly the case ...
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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