Circular points at infinity

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 beginning; hence, illogical; inconclusive; as, circular reasoning. [1913 Webster]

3. Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See {Cyclic poets}, under {Cyclic}. [1913 Webster]

Had Virgil been a circular poet, and closely adhered to history, how could the Romans have had Dido? --Dennis. [1913 Webster]

4. Addressed to a circle, or to a number of persons having a common interest; circulated, or intended for circulation; as, a circular letter. [1913 Webster]

A proclamation of Henry III., . . . doubtless circular throughout England. --Hallam. [1913 Webster]

5. Perfect; complete. [Obs.] [1913 Webster]

A man so absolute and circular In all those wished-for rarities that may take A virgin captive. --Massinger. [1913 Webster]

{Circular are}, any portion of the circumference of a circle.

{Circular cubics} (Math.), curves of the third order which are imagined to pass through the two circular points at infinity.

{Circular functions}. (Math.) See under {Function}.

{Circular instruments}, mathematical instruments employed for measuring angles, in which the graduation extends round the whole circumference of a circle, or 360[deg].

{Circular lines}, straight lines pertaining to the circle, as sines, tangents, secants, etc.

{Circular note}{ or Circular letter}. (a) (Com.) See under {Credit}. (b) (Diplomacy) A letter addressed in identical terms to a number of persons.

{Circular numbers} (Arith.), those whose powers terminate in the same digits as the roots themselves; as 5 and 6, whose squares are 25 and 36. --Bailey. --Barlow.

{Circular points at infinity} (Geom.), two imaginary points at infinite distance through which every circle in the plane is, in the theory of curves, imagined to pass.

{Circular polarization}. (Min.) See under {Polarization}.

{Circular sailing} or {Globular sailing} (Naut.), the method of sailing by the arc of a great circle.

{Circular saw}. See under {Saw}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • 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}.] [1913 Webster] 1. Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity. Sir T.… …   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

  • 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

  • Circular note — 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 numbers — 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

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