Elements of Natural Philosophy, Volume 1 |
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Page 17
... bodies in space . We must there- fore consider how , from the actual motions of a set of bodies , we may find their relative motions with regard to any one of them ; and how , having given the relative motions of all but one with regard ...
... bodies in space . We must there- fore consider how , from the actual motions of a set of bodies , we may find their relative motions with regard to any one of them ; and how , having given the relative motions of all but one with regard ...
Page 20
William Thomson Baron Kelvin, Peter Guthrie Tait. sounding bodies such as a tuning - fork or pianoforte - wire ... body which can only move in a straight line , fulfil strictly the definition of a simple harmonic motion in the part ...
William Thomson Baron Kelvin, Peter Guthrie Tait. sounding bodies such as a tuning - fork or pianoforte - wire ... body which can only move in a straight line , fulfil strictly the definition of a simple harmonic motion in the part ...
Page 31
... body revolve in succession through equal angles , but in opposite directions , about two parallel 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 ...
... body revolve in succession through equal angles , but in opposite directions , about two parallel 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 ...
Page 34
... body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of straight lines ; and the ...
... body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of straight lines ; and the ...
Page 35
... body revolves with angular velocities w , w , respectively . A a With radius unity describe the arc AB , and in it take any point I. Draw Ia , Iẞ perpendicular to OA , OB respectively . Let the rota- tions about the two axes be such ...
... body revolves with angular velocities w , w , respectively . A a With radius unity describe the arc AB , and in it take any point I. Draw Ia , Iẞ perpendicular to OA , OB respectively . Let the rota- tions about the two axes be such ...
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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.