Elements of Natural Philosophy, Part 1 |
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Page 1
... reference to the bodies moved , or to the forces producing the motion , or to the forces called into action by the motion , constitute the subject of a branch of Pure Mathematics , which is called KINEMATICS , or , in its more practical ...
... reference to the bodies moved , or to the forces producing the motion , or to the forces called into action by the motion , constitute the subject of a branch of Pure Mathematics , which is called KINEMATICS , or , in its more practical ...
Page 5
... reference to the other , is called the Evolute . 21. It will be observed that we speak of an involute , and of the evolute , of a curve . In fact , as will be easily seen , a curve can have but one evolute , but it has an infinite ...
... reference to the other , is called the Evolute . 21. It will be observed that we speak of an involute , and of the evolute , of a curve . In fact , as will be easily seen , a curve can have but one evolute , but it has an infinite ...
Page 14
... reference to any point of a chart for which the tidal currents are to be specified throughout the chief tidal period ( twelve lunar hours ) . Numbers from I. to XII . are placed at marked points along the curve , corresponding to the ...
... reference to any point of a chart for which the tidal currents are to be specified throughout the chief tidal period ( twelve lunar hours ) . Numbers from I. to XII . are placed at marked points along the curve , corresponding to the ...
Page 16
... reference to the same unit angle . 58. When one point describes uniformly a circle about another , the time of describing a complete circumference being T , we have the angle 2π described uniformly in T ; and , therefore , the angular ...
... reference to the same unit angle . 58. When one point describes uniformly a circle about another , the time of describing a complete circumference being T , we have the angle 2π described uniformly in T ; and , therefore , the angular ...
Page 19
... reference to a second point B ; if B executes any other motion with reference to a third point C ; and so on - the first is said to execute , with reference to the last , a movement which is the resultant of these several movements ...
... reference to a second point B ; if B executes any other motion with reference to a third point C ; and so on - the first is said to execute , with reference to the last , a movement which is the resultant of these several movements ...
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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