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in·fin·i·ty /ɪnˈfɪnəti/

無窮,無限,無窮數

In·fin·i·ty 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.* --*Sir W. Raleigh.*

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.

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.

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.

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From: WordNet (r) 2.0

infinity

n : time without end [syn: eternity]