Elements of Natural Philosophy, Volume 1 |
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Page 10
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
Page 11
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
Page 25
... axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in lines in all directions and of all phases : each component ...
... axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in lines in all directions and of all phases : each component ...
Page 26
... axes , and in which equal areas are described by the radius - vector from the centre in equal times . Hence the proposition of § 80 . 84. We must next take the case of the composition of simple harmonic motions of different kinds and in ...
... axes , and in which equal areas are described by the radius - vector from the centre in equal times . Hence the proposition of § 80 . 84. We must next take the case of the composition of simple harmonic motions of different kinds and in ...
Page 31
... axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in its initial or final position , which were successively made axes of rotation ; and inclined to ...
... axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in its initial or final position , which were successively made axes of rotation ; and inclined to ...
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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.