Elements of Natural Philosophy, Volume 1 |
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Page 4
... distance measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general ...
... distance measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general ...
Page 11
... distances from the other axis , the path is a straight line 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 ...
... distances from the other axis , the path is a straight line 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 ...
Page 12
... distance of a point and the diameter through it . 45. When the acceleration is directed to a fixed point , the path is in a plane passing through that point ; and in this plane the areas traced out by the radius - vector are ...
... distance of a point and the diameter through it . 45. When the acceleration is directed to a fixed point , the path is in a plane passing through that point ; and in this plane the areas traced out by the radius - vector are ...
Page 14
... distance from the origin is the horizontal velocity , and which is described uniformly . 51. To prove Hamilton's proposition ( § 49 ) , let APB be a portion of a conic section and S one focus . Let P move so that SP S P U -B describes ...
... distance from the origin is the horizontal velocity , and which is described uniformly . 51. To prove Hamilton's proposition ( § 49 ) , let APB be a portion of a conic section and S one focus . Let P move so that SP S P U -B describes ...
Page 15
... distance of that point from a fixed line - a property belonging exclusively to the conic sections referred to their focus and directrix . 53. The path which , in consequence of Aberration , a fixed star seems to describe , is the ...
... distance of that point from a fixed line - a property belonging exclusively to the conic sections referred to their focus and directrix . 53. The path which , in consequence of Aberration , a fixed star seems to describe , is 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