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The Collaborative International Dictionary
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 point called the pole. Cf. Helix.

  2. Anything which has a spiral form, as a spiral shell.

    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.

Logarithmic spiral

Logarithmic \Log`a*rith"mic\, Logarithmical \Log`a*rith"mic*al\, a. [Cf. F. logarithmique.]

  1. Of or pertaining to logarithms; consisting of logarithms.

  2. Using logarithms; as, logarithmic graph paper; a logarithmic scale.

  3. Having a logarithm in one or more of the unknowns; -- of an equation.

    Logarithmic curve (Math.), a curve which, referred to a system of rectangular co["o]rdinate axes, is such that the ordinate of any point will be the logarithm of its abscissa.

    Logarithmic spiral, a spiral curve such that radii drawn from its pole or eye at equal angles with each other are in continual proportion. See Spiral.

Usage examples of "logarithmic spiral".

Its perfect logarithmic spiral coils from left to right around an axis of fundamental truth.

It was the instinctive creation of a master engineer, a nearly-perfect logarithmic spiral, stirring gently in a slight up-draught.

The snare-threads, winding out and out in that logarithmic spiral whose properties men were so astonished to discover, were fully a yard apart.

There was plenty of Sherkaner design, the logarithmic spiral of the main rooms for instance, but there was also Victory’.