Elements of Natural Philosophy, Volume 1 |
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Page 29
... 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 this case , however , it is easy to see at once ...
... 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 this case , however , it is easy to see at once ...
Page 34
... remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a spherical surface within the body , with its centre at the fixed point C. All points of this ...
... remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a spherical surface within the body , with its centre at the fixed point C. All points of this ...
Page 36
... remain parallel . 113. Let S denote a plane of the body , the two positions of which are parallel . Move the body from its first position , without rotation , in a direction perpendicular to S , till S comes into the plane of its second ...
... remain parallel . 113. Let S denote a plane of the body , the two positions of which are parallel . Move the body from its first position , without rotation , in a direction perpendicular to S , till S comes into the plane of its second ...
Page 37
... remain un- changed . As it is evident that all portions of AB will be equally inclined to the axis of the cylinder , it is obvious that the thread of the screw , which corresponds to the edge , DE , of the upper board , must be traced ...
... remain un- changed . As it is evident that all portions of AB will be equally inclined to the axis of the cylinder , it is obvious that the thread of the screw , which corresponds to the edge , DE , of the upper board , must be traced ...
Page 41
... remain to some sensible extent permanently stretched . Also , flexure stretches one side and condenses the other temporarily ; and , to a less extent , permanently . Under elasticity we may return to this . In the meantime , in ...
... remain to some sensible extent permanently stretched . Also , flexure stretches one side and condenses the other temporarily ; and , to a less extent , permanently . Under elasticity we may return to this . In the meantime , 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.