Original scientific paper

Conchoids on the Sphere

Boris Odehnal orcid.org/0000-0002-7265-5132 ; University of Applied Arts Vienna, Vienna, Austria

Abstract

The construction of planar conchoids can be carried over to the Euclidean unit sphere. We study the case of conchoids of (spherical) lines and circles. Some elementary constructions of tangents and osculating circles are stil valid on the sphere. Further, we aim at the illustration and a precise description of the algebraic properties of the principal views of spherical conchoids, i.e., the conchoid’s images under orthogonal projections onto their symmetry planes.

Keywords

spherical curves; conchoids; algebraic curves; tangent; osculating circle; singularities; orthogonal projection

Hrčak ID:

114272

URI

https://hrcak.srce.hr/114272

Publication date:

27.1.2014.

Article data in other languages: croatian

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