HYPERBOLOID n.
A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface. Hyperboloid of revolution, an hyperboloid described by an hyperbola revolving about one of its axes. The surface has two separate sheets when the axis of revolution is the transverse axis, bu…
INFINITY n.
That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity. Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass.…
INSTANTANEOUS a.
taneous acceleration, velocity, etc. Instantaneous center of rotation (Kinematics), in a plane or in a plane figure which has motions both of translation and of rotation in the plane, is the point which for the instant is at rest. -- Instantaneous axis of rotation (Kinematics), in a body which has motions both of tran…