Elements of Natural Philosophy, Volume 1 |
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Page 62
... projected surface , or any part of it , be a plane area at right angles to the plane of projection , the projection vanishes . The projections of any two shells having a common edge , on any plane , are equal . The projection of a ...
... projected surface , or any part of it , be a plane area at right angles to the plane of projection , the projection vanishes . The projections of any two shells having a common edge , on any plane , are equal . The projection of a ...
Page 65
... projected along a horizontal surface of ice , travels equal distances , except in so far as it is retarded by friction and by the resistance of the air , in successive intervals of time during which the earth turns through equal angles ...
... projected along a horizontal surface of ice , travels equal distances , except in so far as it is retarded by friction and by the resistance of the air , in successive intervals of time during which the earth turns through equal angles ...
Page 66
... projected from one position , A , at the same instant with any velocities in any directions , and each left to move uninfluenced by force , the line joining them will be always parallel to a fixed direction . For the law asserts , as we ...
... projected from one position , A , at the same instant with any velocities in any directions , and each left to move uninfluenced by force , the line joining them will be always parallel to a fixed direction . For the law asserts , as we ...
Page 89
... projected , in the direction of the 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 ...
... projected , in the direction of the 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 ...
Page 90
... projection to this point . The Hamiltonian principles stated above , show that the surfaces of equal action cut the ... projected with the proper velocities in the directions of the normals ; points which they reach with equal actions ...
... projection to this point . The Hamiltonian principles stated above , show that the surfaces of equal action cut the ... projected with the proper velocities in the directions of the normals ; points which they reach with equal actions ...
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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.