INFINITIES
Noun
infinities
plural of infinity
Source: Wiktionary
INFINITY
In*fin"i*ty, n.; pl. Infinities. Etym: [L. infinitas; pref. in- not +
finis boundary, limit, end: cf. F. infinité. 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.)
Definition: 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.)
Definition: 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.
Source: Webster’s Unabridged Dictionary 1913 Edition