Infinity

n. pl. Infinities (#).

1. Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity.
2. Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections.
3. Endless or indefinite number; great multitude; as an infinity of beauties.
4. (Math.) A quantity greater than any assignable quantity of the same kind.
5. (Geom.) 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.
Circular points at infinity .
See under Circular.