Elements of Natural Philosophy, Volume 1 |
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Page 3
... passes from one position to the next by revolving about the tangent to the curve . 13. Thus , as we proceed along such a curve , the curvature in general varies ; and , at the same time , the plane in which the cur- vature lies is ...
... passes from one position to the next by revolving about the tangent to the curve . 13. Thus , as we proceed along such a curve , the curvature in general varies ; and , at the same time , the plane in which the cur- vature lies is ...
Page 4
... passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , —an extension of the result in Euclid , where all reëntrant polygons are ...
... passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right angles , —an extension of the result in Euclid , where all reëntrant polygons are ...
Page 11
... passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uni- formly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone . 42. When a ...
... passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uni- formly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone . 42. When a ...
Page 12
... passing through that point ; and in this plane the areas traced out by the radius - vector are proportional to the times employed . This includes the case of a satellite or planet revolving about its primary , according to Kepler's ...
... passing through that point ; and in this plane the areas traced out by the radius - vector are proportional to the times employed . This includes the case of a satellite or planet revolving about its primary , according to Kepler's ...
Page 13
... passes through the point , its moment vanishes . This is the case of a motion in which the acceleration is directed to a fixed point , and we thus prove the second theorem of § 45 , that in the case supposed the areas described by the ...
... passes through the point , its moment vanishes . This is the case of a motion in which the acceleration is directed to a fixed point , and we thus prove the second theorem of § 45 , that in the case supposed the areas described by the ...
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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