Elements of Natural Philosophy, Volume 1 |
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Page 4
... distance measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general ...
... distance measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general ...
Page 11
... distances from the other axis , the path is a 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 ...
... distances from the other axis , the path is a 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 ...
Page 12
... distance of a point and the diameter through it . 45. When the acceleration is directed to a fixed point , the path is in a plane passing through that point ; and in this plane the areas traced out by the radius - vector are ...
... distance of a point and the diameter through it . 45. When the acceleration is directed to a fixed point , the path is in a plane passing through that point ; and in this plane the areas traced out by the radius - vector are ...
Page 14
... 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 SP describes equal ...
... 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 SP describes equal ...
Page 15
... distance of that point from a fixed line - a property belonging exclusively to the conic sections referred to their focus and directrix . 53. The path which , in consequence of Aberration , a fixed star seems to describe , is the ...
... distance of that point from a fixed line - a property belonging exclusively to the conic sections referred to their focus and directrix . 53. The path which , in consequence of Aberration , a fixed star seems to describe , is the ...
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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.