# Circular points at infinity

- Circular points at infinity
- Infinity In*fin"i*ty, n.; pl. {Infinities}. [L. infinitas;
pref. in- not + finis boundary, limit, end: cf. F.
infinit['e]. 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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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.).
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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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*The Collaborative International Dictionary of English.
2000.*

### Look at other dictionaries:

**Circular points at infinity** — Circular Cir cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See {Circle}.] [1913 Webster] 1. In the form of, or bounded by, a circle; round. [1913 Webster] 2. repeating itself; ending in itself; reverting to the point of… … The Collaborative International Dictionary of English

**Circular points at infinity** — In projective geometry, the circular points at infinity in the complex projective plane (also called cyclic points or isotropic points) are (1: i: 0) and (1: −i: 0). Here the coordinates are homogeneous coordinates (x: y: z); so that the line at… … Wikipedia

**Circle at infinity** — Infinity In*fin i*ty, n.; pl. {Infinities}. [L. infinitas; pref. in not + finis boundary, limit, end: cf. F. infinit[ e]. See {Finite}.] [1913 Webster] 1. Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity. Sir T.… … The Collaborative International Dictionary of English

**Line at infinity** — Ideal line redirects here. For the ideal line in racing, see Racing line. In geometry and topology, the line at infinity is a line which is added to the real (affine) plane in order to give closure to, and remove the exceptional cases from, the… … Wikipedia

**Circular** — Cir cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See {Circle}.] [1913 Webster] 1. In the form of, or bounded by, a circle; round. [1913 Webster] 2. repeating itself; ending in itself; reverting to the point of beginning;… … The Collaborative International Dictionary of English

**Circular are** — Circular Cir cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See {Circle}.] [1913 Webster] 1. In the form of, or bounded by, a circle; round. [1913 Webster] 2. repeating itself; ending in itself; reverting to the point of… … The Collaborative International Dictionary of English

**Circular cubics** — Circular Cir cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See {Circle}.] [1913 Webster] 1. In the form of, or bounded by, a circle; round. [1913 Webster] 2. repeating itself; ending in itself; reverting to the point of… … The Collaborative International Dictionary of English

**Circular functions** — Circular Cir cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See {Circle}.] [1913 Webster] 1. In the form of, or bounded by, a circle; round. [1913 Webster] 2. repeating itself; ending in itself; reverting to the point of… … The Collaborative International Dictionary of English

**Circular instruments** — Circular Cir cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See {Circle}.] [1913 Webster] 1. In the form of, or bounded by, a circle; round. [1913 Webster] 2. repeating itself; ending in itself; reverting to the point of… … The Collaborative International Dictionary of English

**Circular lines** — Circular Cir cu*lar, a. [L. circularis, fr. circulus circle: cf. F. circulaire. See {Circle}.] [1913 Webster] 1. In the form of, or bounded by, a circle; round. [1913 Webster] 2. repeating itself; ending in itself; reverting to the point of… … The Collaborative International Dictionary of English