Elements of Natural Philosophy |
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Page 66
... shells having a common edge , on any plane , are equal . The projection of a closed surface ( or a shell with ... shell edged by a plane figure , on another plane , is equal to its area , multiplied by the cosine of the angle at ...
... shells having a common edge , on any plane , are equal . The projection of a closed surface ( or a shell with ... shell edged by a plane figure , on another plane , is equal to its area , multiplied by the cosine of the angle at ...
Page 70
... 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 axis of revolution in an absolutely fixed ...
... 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 axis of revolution in an absolutely fixed ...
Page 155
... shell will be supposed to be curved . A simple shell is a shell of which the surface is single throughout . One side of the shell must always be distinguished from the other , whatever may be the convolutions of its surface . Thus we ...
... shell will be supposed to be curved . A simple shell is a shell of which the surface is single throughout . One side of the shell must always be distinguished from the other , whatever may be the convolutions of its surface . Thus we ...
Page 156
... shells having a common edge , on any plane , are equal . The projection of a closed surface ( or a shell with evanescent edge ) , on any plane , is nothing . 449. Equal areas in one plane or in parallel planes , have equal projections ...
... shells having a common edge , on any plane , are equal . The projection of a closed surface ( or a shell with evanescent edge ) , on any plane , is nothing . 449. Equal areas in one plane or in parallel planes , have equal projections ...
Page 172
... shell on an internal or external point . This may be done synthetically as follows ; the investigation being , as we shall see below , virtually the same as that of § 479 , or § 488 . 491. Let us first consider the case in which the ...
... shell on an internal or external point . This may be done synthetically as follows ; the investigation being , as we shall see below , virtually the same as that of § 479 , or § 488 . 491. Let us first consider the case in which the ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called 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 particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular 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