Elements of Natural Philosophy |
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Page 39
... surface of a vertical right - cylinder , the motion of DF parallel to AC will become a rotation about the axis of the cylinder , and the necessary accompaniment of vertical motion will remain un- changed . As it is evident that all ...
... surface of a vertical right - cylinder , the motion of DF parallel to AC will become a rotation about the axis of the cylinder , and the necessary accompaniment of vertical motion will remain un- changed . As it is evident that all ...
Page 40
... 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 so simple as to require no comment . Any ...
... 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 so simple as to require no comment . Any ...
Page 41
... surfaces , which are useful in various parts of our subject , The tangent plane at any point of a surface may or may not cut it at that point . In the former case , the surface bends away from the tangent plane partly towards one side ...
... surfaces , which are useful in various parts of our subject , The tangent plane at any point of a surface may or may not cut it at that point . In the former case , the surface bends away from the tangent plane partly towards one side ...
Page 42
... surface to another , its osculating plane , or plane of curvature , is everywhere perpendicular to the surface . Such a curve is called a Geodetic line . And it is easy to see that it is the line in which a flexible and inextensible ...
... surface to another , its osculating plane , or plane of curvature , is everywhere perpendicular to the surface . Such a curve is called a Geodetic line . And it is easy to see that it is the line in which a flexible and inextensible ...
Page 43
... surface which can be plane , is a subject which has been well worked by geometrical investigators and writers , and , in its elements at least , presents little difficulty . The first elementary conception to be formed is , that such a ...
... surface which can be plane , is a subject which has been well worked by geometrical investigators and writers , and , in its elements at least , presents little difficulty . The first elementary conception to be formed is , that such a ...
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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