Elements of Natural Philosophy, Volume 1 |
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Page 4
... condition to be expressed in any case of it is simply that the 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 ...
... condition to be expressed in any case of it is simply that the 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 ...
Page 20
... condition when the wheel moves uniformly ; the approxi- mation being the closer , the smaller is the angular motion of the treadle and of the connecting string . It is also approximated to more or less closely in the motion of the ...
... condition when the wheel moves uniformly ; the approxi- mation being the closer , the smaller is the angular motion of the treadle and of the connecting string . It is also approximated to more or less closely in the motion of the ...
Page 25
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
Page 28
... conditions . ] 90. We now pass to the consideration of the displacement of a rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own ...
... conditions . ] 90. We now pass to the consideration of the displacement of a rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own ...
Page 29
... condition that the points of any one plane in it remain always in a fixed plane in space . A ' В 95. There is yet a case in which the construction in § 91 is nugatory — that is when AA ' is parallel to BB , but AB intersects A'B ' . In ...
... condition that the points of any one plane in it remain always in a fixed plane in space . A ' В 95. There is yet a case in which the construction in § 91 is nugatory — that is when AA ' is parallel to BB , but AB intersects A'B ' . In ...
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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.