Elements of Natural Philosophy |
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Page 3
... turning about the tangent to the curve . The rate of torsion , or the tortuosity , is therefore to be measured by the ... turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature ...
... turning about the tangent to the curve . The rate of torsion , or the tortuosity , is therefore to be measured by the ... turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature ...
Page 15
... 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 locus of U is easily seen to be a ...
... 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 locus of U is easily seen to be a ...
Page 17
... turned through by its radius - vector in . the same time . 61. A further instance of this use of the idea of angular velocity may now be given , to solve the problem of finding the hodograph . ( 835 ) for any case of motion in which the ...
... turned through by its radius - vector in . the same time . 61. A further instance of this use of the idea of angular velocity may now be given , to solve the problem of finding the hodograph . ( 835 ) for any case of motion in which the ...
Page 19
... turned through two right angles . And with regard to G and G it is evident that the directions remain the same , while the lengths are altered in a given ratio ; but this is the definition of similar curves . 66. An excellent example of ...
... turned through two right angles . And with regard to G and G it is evident that the directions remain the same , while the lengths are altered in a given ratio ; but this is the definition of similar curves . 66. An excellent example of ...
Page 23
... turning round C carries an arm Q'S turning round Q. Toothed wheels , one of them fixed with its axis through C , and ... turned uni- formly at the rate of once round in 12 mean solar hours . Days and half - days are marked by a counter ...
... turning round C carries an arm Q'S turning round Q. Toothed wheels , one of them fixed with its axis through C , and ... turned uni- formly at the rate of once round in 12 mean solar hours . Days and half - days are marked by a counter ...
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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