# limaçon

(redirected from Limacon of Pascal)
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## limaçon

(ˈlɪməˌsɒn)
n
(Mathematics) a heart-shaped curve generated by a point lying on a line at a fixed distance from the intersection of the line with a fixed circle, the line rotating about a point on the circumference of the circle
[French, literally: snail (so named by Pascal)]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## lim•a•çon

(ˈlɪm əˌsɒn)

n.
a plane curve generated by the locus of a point on a line at a fixed distance from the point of intersection of the line with a fixed circle, as the line revolves about a point on the circumference of the circle. Equation: r = a cosθ + b.
[1575–85; < French: literally, snail, Old French, derivative of limaz < Latin līmācem, acc. of līmāx snail, slug]
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References in periodicals archive ?
A typical example is the limacon of Pascal: given a circle with a fixed point O on it, and another circle point P, find the locus of points Q such that O, P, Q are aligned, and the distance between P and Q is constant.
For the sake of illustration, we study a simple generalization of the limacon of Pascal to the spatial case: Given a sphere with a fixed point [Pt.sub.2] on it, and another sphere point [Pt.sub.4], find the locus of points [Pt.sub.8] such that [Pt.sub.2], [Pt.sub.4], [Pt.sub.8] are aligned, and the distance between [Pt.sub.4] and [Pt.sub.8] is constant.

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