\In*fin"i*ty\, n.; pl. {Infinities}. [L. infinitas;
pref. in- not + finis boundary, limit, end: cf. F.
infinit['e]. See {Finite}.]
1. Unlimited extent of time, space, or quantity; eternity;
   boundlessness; immensity. --Sir T. More.
         There can not be more infinities than one; for one
         of them would limit the other.        --Sir W.
                                               Raleigh.
2. Unlimited capacity, energy, excellence, or knowledge; as,
   the infinity of God and his perfections. --Hooker.
3. Endless or indefinite number; great multitude; as an
   infinity of beauties. --Broome.
4. (Math.) A quantity greater than any assignable quantity of
   the same kind.
Note: Mathematically considered, infinity is always a limit
      of a variable quantity, resulting from a particular
      supposition made upon the varying element which enters
      it. --Davies & Peck (Math. Dict.).
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}.