Equiangular spiral

Equiangular spiral
Spiral Spi"ral, n. [Cf. F. spirale. See {Spiral}, a.] 1. (Geom.) A plane curve, not re["e]ntrant, described by a point, called the generatrix, moving along a straight line according to a mathematical law, while the line is revolving about a fixed point called the pole. Cf. {Helix}. [1913 Webster]

2. Anything which has a spiral form, as a spiral shell. [1913 Webster]

{Equiangular spiral},a plane curve which cuts all its generatrices at the same angle. Same as {Logarithmic spiral}, under {Logarithmic}.

{Spiral of Archimedes}, a spiral the law of which is that the generatrix moves uniformly along the revolving line, which also moves uniformly. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Equiangular spiral — Equiangular E qui*an gu*lar, a. [Equi + angular. Cf. {Equangular}.] Having equal angles; as, an equiangular figure; a square is equiangular. [1913 Webster] {Equiangular spiral}. (Math.) See under {Spiral}, n. {Mutually equiangular}, applied to… …   The Collaborative International Dictionary of English

  • equiangular spiral — noun : a plane curve that cuts all its radii vectores at the same angle called also logarithmic spiral …   Useful english dictionary

  • Equiangular — E qui*an gu*lar, a. [Equi + angular. Cf. {Equangular}.] Having equal angles; as, an equiangular figure; a square is equiangular. [1913 Webster] {Equiangular spiral}. (Math.) See under {Spiral}, n. {Mutually equiangular}, applied to two figures,… …   The Collaborative International Dictionary of English

  • Spiral — Spi ral, n. [Cf. F. spirale. See {Spiral}, a.] 1. (Geom.) A plane curve, not re[ e]ntrant, described by a point, called the generatrix, moving along a straight line according to a mathematical law, while the line is revolving about a fixed point… …   The Collaborative International Dictionary of English

  • Spiral of Archimedes — Spiral Spi ral, n. [Cf. F. spirale. See {Spiral}, a.] 1. (Geom.) A plane curve, not re[ e]ntrant, described by a point, called the generatrix, moving along a straight line according to a mathematical law, while the line is revolving about a fixed …   The Collaborative International Dictionary of English

  • Equiangular — In geometry equiangular relates to having equal angles. In particular: *Equiangular polygon a polygon with equal angles. *The Logarithmic spiral or equiangular spiral a type of spiral. *Equiangular lines a set of lines where every pair of lines… …   Wikipedia

  • spiral — spirality /spuy ral i tee/, n. spirally, adv. /spuy reuhl/, n., adj., v., spiraled, spiraling or (esp. Brit.) spiralled, spiralling. n. 1. Geom. a plane curve generated by a point moving around a fixed point while constantly receding from or… …   Universalium

  • Mutually equiangular — Equiangular E qui*an gu*lar, a. [Equi + angular. Cf. {Equangular}.] Having equal angles; as, an equiangular figure; a square is equiangular. [1913 Webster] {Equiangular spiral}. (Math.) See under {Spiral}, n. {Mutually equiangular}, applied to… …   The Collaborative International Dictionary of English

  • Logarithmic spiral — Spiral Spi ral, n. [Cf. F. spirale. See {Spiral}, a.] 1. (Geom.) A plane curve, not re[ e]ntrant, described by a point, called the generatrix, moving along a straight line according to a mathematical law, while the line is revolving about a fixed …   The Collaborative International Dictionary of English

  • Logarithmic spiral — A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature. The logarithmic spiral was first described by Descartes and later extensively investigated by Jakob Bernoulli, who called… …   Wikipedia

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