Infinity /(?)/

In·fin·i·ty

Infinity

n.

pl. Infinities

  1. Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity.
    There can not be more infinities than one; for one of them would limit the other.
  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. A quantity greater than any assignable quantity of the same kind. (Math.)
  5. 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. (Geom.)

Phrases & Compounds
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.