Elements of Natural Philosophy, Volume 1 |
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Page 36
... rest , the most general motion of a rigid body of which one point is fixed consists in the rolling of a cone fixed in the body upon a cone fixed in space - the vertices of both being at the fixed point . 111. To complete our kinematical ...
... rest , the most general motion of a rigid body of which one point is fixed consists in the rolling of a cone fixed in the body upon a cone fixed in space - the vertices of both being at the fixed point . 111. To complete our kinematical ...
Page 50
... rest on six convex portions of the surface of a fixed rigid body , the rifle may be replaced any number of times in precisely the same position , for the purpose of testing its accuracy . 169. If one point be constrained to remain in a ...
... rest on six convex portions of the surface of a fixed rigid body , the rifle may be replaced any number of times in precisely the same position , for the purpose of testing its accuracy . 169. If one point be constrained to remain in a ...
Page 51
... rest ; 2nd , it may rotate about either axis of the first Hooke's joint , or any axis in their plane ( two more degrees of freedom : being freedom to rotate about two axes through one point ) ; 3rd , it may , by the two Hooke's joints ...
... rest ; 2nd , it may rotate about either axis of the first Hooke's joint , or any axis in their plane ( two more degrees of freedom : being freedom to rotate about two axes through one point ) ; 3rd , it may , by the two Hooke's joints ...
Page 54
... rest , or moves uni- formly in a straight line . This , the Inertia of matter , is proportional to the quantity of matter in the body . And it follows that some cause is requisite to disturb a body's uniformity of motion , or to change ...
... rest , or moves uni- formly in a straight line . This , the Inertia of matter , is proportional to the quantity of matter in the body . And it follows that some cause is requisite to disturb a body's uniformity of motion , or to change ...
Page 55
... rests on the ground , or on a table , force of the second character , acting downwards , is balanced by force of the first character acting upwards . ( b ) The second element in the specification of a force is its direction . The ...
... rests on the ground , or on a table , force of the second character , acting downwards , is balanced by force of the first character acting upwards . ( b ) The second element in the specification of a force is its direction . The ...
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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 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 P₂ 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 theorem 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.