Elements of Natural Philosophy, Volume 1 |
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Page 2
... straight , or even made up of portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle , however , there can be no abrupt change of velocity , nor of direction unless where ...
... straight , or even made up of portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle , however , there can be no abrupt change of velocity , nor of direction unless where ...
Page 3
... straight or curved lines it is called a plane polygon . If the line do not lie in one plane , we have in one case what is called a curve of double curvature , in the other a gauche polygon . The term ' curve of double curvature ' is a ...
... straight or curved lines it is called a plane polygon . If the line do not lie in one plane , we have in one case what is called a curve of double curvature , in the other a gauche polygon . The term ' curve of double curvature ' is a ...
Page 7
... straight or a curved line ; but , since , in the latter case , the direction of motion continually changes , the mere amount of the velocity is not sufficient completely to describe the motion , and we must have in every such case ...
... straight or a curved line ; but , since , in the latter case , the direction of motion continually changes , the mere amount of the velocity is not sufficient completely to describe the motion , and we must have in every such case ...
Page 11
... straight line passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uni- formly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the ...
... straight line passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uni- formly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the ...
Page 14
... straight line , whose distance from the origin is the horizontal velocity , and which is described uniformly . 51. To prove Hamilton's proposition ( § 49 ) , let APB be a portion of a conic section and S one focus . Let P move so that ...
... straight line , whose distance from the origin is the horizontal velocity , and which is described uniformly . 51. To prove Hamilton's proposition ( § 49 ) , let APB be a portion of a conic section and S one focus . Let P move so that ...
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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.