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spiral of Archimedes

noun

, Geometry.
  1. a curve that is the locus of a point that moves outward with uniform speed along a vector, beginning at the origin, while the vector rotates about the origin with uniform angular velocity. Equation (in polar coordinates): r = aθ.


spiral of Archimedes

noun

  1. maths a spiral having the equation r = a θ, where a is a constant. It is the locus of a point moving to or from the origin at a constant speed along a line rotating around that origin at a constant speed
“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word History and Origins

Origin of spiral of Archimedes1

First recorded in 1650–60; named after Archimedes
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Example Sentences

Propositions 1-11 are preliminary, 13-20 contain tangential properties of the curve now known as the spiral of Archimedes, and 21-28 show how to express the area included between any portion of the curve and the radii vectores to its extremities.

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