conchoid

conchoid

[kong-koid]
noun Geometry.
a plane curve such that if a straight line is drawn from a certain fixed point, called the pole of the curve, to the curve, the part of the line intersected between the curve and its asymptote is always equal to a fixed distance. Equation: r = b ± a sec(θ).

Origin:
1790–1800; < Greek konchoeidḗs. See conch, -oid

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conchoid (ˈkɒŋkɔɪd)
 
n
geometry a plane curve consisting of two branches situated about a line to which they are asymptotic, so that a line from a fixed point (the pole) intersecting both branches is of constant length between asymptote and either branch. Equation: (x -- a)²(x² + y²) = b²x² where a is the distance between the pole and a vertical asymptote and b is the length of the constant segment

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