Elements of Natural Philosophy, Volume 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 27 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 27 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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.