Elements of Natural Philosophy, Volume 1 |
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Page 29
... suppose the figure to be a mere flat disc or plane - for the preceding statements apply to any one of a set of parallel planes in a rigid body , moving in any way subject to the condition that the points of any one plane in it remain ...
... suppose the figure to be a mere flat disc or plane - for the preceding statements apply to any one of a set of parallel planes in a rigid body , moving in any way subject to the condition that the points of any one plane in it remain ...
Page 30
... suppose ABDC to be a jointed frame , AB having a reciprocating motion about A , and by a link BD turning CD in the same plane about C. Deter- mine the relation between the angular velocities of AB and CD in any position . Evidently the ...
... suppose ABDC to be a jointed frame , AB having a reciprocating motion about A , and by a link BD turning CD in the same plane about C. Deter- mine the relation between the angular velocities of AB and CD in any position . Evidently the ...
Page 37
... suppose the edge , AC , to be hori- zontal . By $ 30 , if the upper board move horizontally to the right , the constraint will give it , in addition , a vertically upward motion , and the rates of these motions are in the constant ratio ...
... suppose the edge , AC , to be hori- zontal . By $ 30 , if the upper board move horizontally to the right , the constraint will give it , in addition , a vertically upward motion , and the rates of these motions are in the constant ratio ...
Page 38
... Suppose a rigid body bounded by any curved surface to be touched at any point by another such body . Any motion of one on the other must be of one or more of the forms sliding , rolling , or spinning . The consideration of the first is ...
... Suppose a rigid body bounded by any curved surface to be touched at any point by another such body . Any motion of one on the other must be of one or more of the forms sliding , rolling , or spinning . The consideration of the first is ...
Page 39
... suppose P to be at any time the point of contact , and Q and p the points which are to be in contact after a very small interval 7 ; 0 , O the centres of curvature ; POp = 0 , PO'Q = 0 . Then PQ = Pp = space described by point of con ...
... suppose P to be at any time the point of contact , and Q and p the points which are to be in contact after a very small interval 7 ; 0 , O the centres of curvature ; POp = 0 , PO'Q = 0 . Then PQ = Pp = space described by point of con ...
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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.