Elements of Natural Philosophy, Volume 1 |
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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 . 9. If the path be not straight the direction of motion changes from ...
... 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 . 9. If the path be not straight the direction of motion changes from ...
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 . 8 t 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 . 8 t 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 . 39. 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 regarded as constituting an acceleration towards ...
... instant , and inversely as the square of the velocity . 39. 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 regarded as constituting an acceleration towards ...
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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