Elements of Natural Philosophy |
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Page 17
... 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 36
... 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 37
... 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 38
... spherical figure on a fixed spherical surface is obtained by the rolling of a curve fixed in the figure on a curve fixed on the sphere . Hence as at each instant the line joining C and O contains a set of points of the body which are ...
... spherical figure on a fixed spherical surface is obtained by the rolling of a curve fixed in the figure on a curve fixed on the sphere . Hence as at each instant the line joining C and O contains a set of points of the body which are ...
Page 70
... spherical body , made up of concentric shells , each of uniform material and density throughout , if made to revolve about an axis , will , in spite o 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 o 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 co-ordinates component configuration consider constant cord corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 tion torsion uniform unit vertical weight whole wire