'Logarithmic spiral' definitions:

Definition of 'Logarithmic spiral'

From: GCIDE
  • Logarithmic \Log`a*rith"mic\, Logarithmical \Log`a*rith"mic*al\, a. [Cf. F. logarithmique.]
  • 1. Of or pertaining to logarithms; consisting of logarithms. [1913 Webster]
  • 2. Using logarithms; as, logarithmic graph paper; a logarithmic scale. [PJC]
  • 3. Having a logarithm in one or more of the unknowns; -- of an equation. [PJC]
  • Logarithmic curve (Math.), a curve which, referred to a system of rectangular coordinate 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. [1913 Webster]

Definition of 'Logarithmic spiral'

From: GCIDE
  • Spiral \Spi"ral\, n. [Cf. F. spirale. See Spiral, a.]
  • 1. (Geom.) A plane curve, not reentrant, 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]