Elements of Natural Philosophy, Volume 1 |
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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 . 9. If the path be not straight the direction of motion changes from point to point , and the rate of this change , per unit ...
... 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 point to point , and the rate of this change , per unit ...
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 , its extremity will describe an Involute of the curve . The original curve , considered with reference to the other , is called the Evolute . 21. It ...
... curve , and stretched along the curve , and be then unwound in the plane of the curve , its extremity will describe an Involute of the curve . The original curve , considered with reference to the other , is called the Evolute . 21. It ...
Page 9
... curve thus described . The amount of acceleration is the rate of change of velocity , and is therefore measured by the velocity of P in the curve PQ . 36. Let a point describe a circle , ABD , radius R , with uniform velocity V. Then ...
... curve thus described . The amount of acceleration is the rate of change of velocity , and is therefore measured by the velocity of P in the curve PQ . 36. Let a point describe a circle , ABD , radius R , with uniform velocity V. Then ...
Page 10
... curve whose curvature is proportional to the acceleration at each 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 ...
... curve whose curvature is proportional to the acceleration at each 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 ...
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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