Elements of Natural Philosophy, Volume 1 |
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Page 63
... normal pressure between a fixed and moving body , the tension of the cord to which a pendulum bob is attached , or the attraction of the sun on a planet if the planet describe a circle with the sun in the centre , are all instances in ...
... normal pressure between a fixed and moving body , the tension of the cord to which a pendulum bob is attached , or the attraction of the sun on a planet if the planet describe a circle with the sun in the centre , are all instances in ...
Page 72
... normals to the three surfaces of the second order which pass through that point , and are confocal with an ellipsoid , having its centre at the centre of inertia , and its three principal diameters coincident with the three principal ...
... normals to the three surfaces of the second order which pass through that point , and are confocal with an ellipsoid , having its centre at the centre of inertia , and its three principal diameters coincident with the three principal ...
Page 89
... normal , and with the proper velocity to make the sum of the potential and actual energies have a given value . In other words , the physical problem solved by the most general solution of that partial differential equation , for a ...
... normal , and with the proper velocity to make the sum of the potential and actual energies have a given value . In other words , the physical problem solved by the most general solution of that partial differential equation , for a ...
Page 90
... normals ; points which they reach with equal actions lie on a surface cutting the paths at right angles . The infinitely small thickness of the space between any two such surfaces corresponding to amounts of action differing by any ...
... normals ; points which they reach with equal actions lie on a surface cutting the paths at right angles . The infinitely small thickness of the space between any two such surfaces corresponding to amounts of action differing by any ...
Page 93
... normal displacements are equal , any displace- ment compounded of them will also fulfil the condition of a normal displacement . And if the system be displaced according to any one such normal displacement , and projected with velocity ...
... normal displacements are equal , any displace- ment compounded of them will also fulfil the condition of a normal displacement . And if the system be displaced according to any one such normal displacement , and projected with velocity ...
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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.