Elements of Natural Philosophy, Volume 1 |
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Page 16
... spherical surface , diminishes according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius ...
... spherical surface , diminishes according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius ...
Page 34
... spherical surface within 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 ...
... spherical surface within 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 ...
Page 36
... spherical surface . Thus we see that if a spherical polygon turns about its angular points in succession , always keeping on the spherical surface , and if the angle through which it turns about each point is twice the supplement of the ...
... spherical surface . Thus we see that if a spherical polygon turns about its angular points in succession , always keeping on the spherical surface , and if the angle through which it turns about each point is twice the supplement of the ...
Page 43
... sur- face of which every plane section is an ellipse ; that is , remains an ellipsoid . 141. The ellipsoid which any surface of the body initially spherical becomes in the altered condition , may , to avoid KINEMATICS . 43.
... sur- face of which every plane section is an ellipse ; that is , remains an ellipsoid . 141. The ellipsoid which any surface of the body initially spherical becomes in the altered condition , may , to avoid KINEMATICS . 43.
Page 65
... spherical body , made up of concentric shells , each of uniform material and density throughout , if made to revolve about an axis , will , in spite of impressed forces , revolve with uniform angular velocity , and will main- tain its ...
... spherical body , made up of concentric shells , each of uniform material and density throughout , if made to revolve about an axis , will , in spite of impressed forces , revolve with uniform angular velocity , and will main- tain its ...
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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.