(?), n.;
pl. Infinities (#).
[L. infinitas; pref. in- not + finis boundary, limit, end: cf. F. infinit. See Finite.]
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1. Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity. Sir T. More.
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There can not be more infinities than one; for one of them would limit the other.
Sir W. Raleigh.
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2. Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections. Hooker.
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3. Endless or indefinite number; great multitude; as an infinity of beauties. Broome.
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4. (Math.) A quantity greater than any assignable quantity of the same kind.
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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.).
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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.
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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.
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Mon 20th September 2021