spherical indicatrix

spherical indicatrix

[¦sfir·ə·kəl in′dik·ə‚triks]
(mathematics)
For a space curve, those points on the unit sphere traced out by a radius moving from point to point always parallel with the tangent to the curve. Also known as spherical image; spherical indicatrix of the tangent; spherical representation; tangent indicatrix.
References in periodicals archive ?
Moreover, we give some new characterizations of the Mannheim partner curves by considering the spherical indicatrix of some Frenet vectors of the curves.
Let the spherical indicatrix of the principal normal vector of the curve C be denoted by [C.
2] be the tangent vector of the spherical indicatrix of the principal normal vector of the curve C and let [[bar.
Gamma] = 1/3 + s and g = (1 - [Gamma])/[Gamma] are two structural constants of the medium where 1/3 is the value of [Gamma] corresponding to the spherical indicatrix and s is an index of nonsphericity.

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