osculating circle


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  • noun

Synonyms for osculating circle

the circle that touches a curve (on the concave side) and whose radius is the radius of curvature

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References in periodicals archive ?
The osculating circle C will be the circle with radius [rho] = 1/[kappa] whose center (a, b) is on the normal line to C at the origin.
If the curvature at the origin, [kappa], is positive, the osculating circle of C at the origin has radius [rho] = 1/[kappa] and center (a, b) where [a.
The osculating circle of C at the origin, C, has radius [rho] = 1/[kappa] and center (a, b) where [a.
The lines through the origin have [kappa] = 0 and hence an osculating circle does not exist.
Theorem 3 Let O be a point on a curve C in the plane where the osculating circle to C at O exists.