Elements of Natural Philosophy, Volume 1 |
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Page 6
... quantity - what in the differential cal- culus is called an independent variable . Its physical definition is given in the next chapter . 24. Thus a point , which moves uniformly with velocity v , describes a space of v feet each second ...
... quantity - what in the differential cal- culus is called an independent variable . Its physical definition is given in the next chapter . 24. Thus a point , which moves uniformly with velocity v , describes a space of v feet each second ...
Page 8
... quantity as either positive or negative : and ( § 34 ) is farther generalized so as to include change of direction as well as change of speed . Acceleration of velocity may of course be either uniform or variable . It is said to be ...
... quantity as either positive or negative : and ( § 34 ) is farther generalized so as to include change of direction as well as change of speed . Acceleration of velocity may of course be either uniform or variable . It is said to be ...
Page 14
... quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 , from any fixed point , lines be drawn at every instant representing in magnitude and direction the velocity of a point ...
... quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 , from any fixed point , lines be drawn at every instant representing in magnitude and direction the velocity of a point ...
Page 16
... quantity which is then called the mean angular velocity . 59. When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may easily ...
... quantity which is then called the mean angular velocity . 59. When a point moves uniformly in a straight line its angular velocity evidently diminishes as it recedes from the point about which the angles are measured , and it may easily ...
Page 49
... quantity of a fluid within any space at any time must be equal to the quantity originally in that space , increased by the whole quantity that has entered it , and diminished by the whole quantity that has left it . This idea , when ...
... quantity of a fluid within any space at any time must be equal to the quantity originally in that space , increased by the whole quantity that has entered it , and diminished by the whole quantity that has left it . This idea , when ...
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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.