Elements of Natural Philosophy |
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Page 2
... 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 from point to point , and the rate of this change , per ...
... 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 from point to point , and the rate of this change , per ...
Page 3
... curve of double curvature , in the other a gauche polygon . The term ' curve of double curvature ' is a very bad one , and , though in very general use , is , we hope , not inera- dicable . The fact is , that there are not two ...
... curve of double curvature , in the other a gauche polygon . The term ' curve of double curvature ' is a very bad one , and , though in very general use , is , we hope , not inera- dicable . The fact is , that there are not two ...
Page 5
... curve , and stretched along the curve , and be then unwound in the plane of the curve , every point of it will describe an . Involute of the curve . The original curve is called the Evolute of any one of the others . 21. It will be ...
... curve , and stretched along the curve , and be then unwound in the plane of the curve , every point of it will describe an . Involute of the curve . The original curve is called the Evolute of any one of the others . 21. It will be ...
Page 9
... curve , for ( 87 ) OP cannot change abruptly in direction . Now if Q be a point near to P , OP and OQ represent two ... curve thus described . 0 The magnitude of the acceleration is the rate of change of velocity , and is therefore ...
... curve , for ( 87 ) OP cannot change abruptly in direction . Now if Q be a point near to P , OP and OQ represent two ... curve thus described . 0 The magnitude of the acceleration is the rate of change of velocity , and is therefore ...
Page 10
... curve whose curvature is proportional to the acceleration at each 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 ...
... curve whose curvature is proportional to the acceleration at each 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 ...
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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 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 vibrations weight whole wire