36, if OA, OB, OC be three mutually perpendicular lines in the solid, we may denote by O the angle which OC makes with a fixed direction OZ, by ~ the azimuth of the plane ZOC measured from some fixed plane through OZ, and by f~ the inclination of the plane COA to the plane ZOC In fig.
If a be the semi-angle of the rolling cone, ~ the constant inclination of OC to OZ, and ~ the angular velocity with which the plane ZOC revolves about OZ, then, considering the velocity of a point in OC at unit distance from 0, we have wsina=d~~sinfi, (3)
In an act of justice, the wizard ant Zoc magically shrinks Lucas to the size of an ant.
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