Elements of Natural Philosophy |
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Page 2
... instant the tangent drawn to its path , if the path be a curve ; or the path itself if a straight line . This is evident from the definition of the tangent to a curve . P T 9. If the path be not straight the direction of motion changes ...
... instant the tangent drawn to its path , if the path be a curve ; or the path itself if a straight line . This is evident from the definition of the tangent to a curve . P T 9. If the path be not straight the direction of motion changes ...
Page 6
... instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described in one second , if for such a period it kept its velocity unchanged . 27. That there is at every instant ...
... instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described in one second , if for such a period it kept its velocity unchanged . 27. That there is at every instant ...
Page 7
... instant , by considering ( § 25 ) the motion for so short a time , that during that time the actual variation of speed may be small enough to be neglected . ข = 28. In fact , if v be the velocity at either beginning or end , or at any ...
... instant , by considering ( § 25 ) the motion for so short a time , that during that time the actual variation of speed may be small enough to be neglected . ข = 28. In fact , if v be the velocity at either beginning or end , or at any ...
Page 9
... instant . ( Compare § 49. ) The points , P , Q , etc. , must form a continuous curve , for ( 87 ) OP cannot change abruptly in direction . Now if Q be a point near to P , OP and OQ represent two successive values of the velocity . Hence ...
... instant . ( Compare § 49. ) The points , P , Q , etc. , must form a continuous curve , for ( 87 ) OP cannot change abruptly in direction . Now if Q be a point near to P , OP and OQ represent two successive values of the velocity . Hence ...
Page 10
... instant , and inversely as the square of the velocity . 89. In other words , if a point move in a curve , whether with a uniform or a . varying velocity , its change of direction is to be re garded as constituting an acceleration ...
... instant , and inversely as the square of the velocity . 89. In other words , if a point move in a curve , whether with a uniform or a . varying velocity , its change of direction is to be re garded as constituting an acceleration ...
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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