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 YS pro- duced , so that YS . SU is constant , the ...
... 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 YS pro- duced , so that YS . SU is constant , the ...
Page 20
... 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 a straight line with a simple harmonic motion . This is nearly the case with such ...
... 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 a straight line with a simple harmonic motion . This is nearly the case with such ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called 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 particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire