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2010•Unpublished venueRequires access

Equioptic Curves of Conic Sections

Boris Odehnal

Open publisher page 8 citations

Abstract

Given two plane curves c1 and c2 we call the set of points from which c1 and c2 are seen under equal angle the equioptic curve. We give some basic results concerning equioptic curves in general. Then we pay our attention to the seemingly simple case of equioptic curves of conic sections. Mainly we are interested in upper bounds of the algebraic degree of these curves. Some examples illustrate the results.

About this research paper

What this paper is about

Given two plane curves c1 and c2 we call the set of points from which c1 and c2 are seen under equal angle the equioptic curve. We give some basic results concerning equioptic curves in general. Then we pay our attention to the seemingly simple case of equioptic curves of conic sections. Mainly we are interested in upper bounds of the algebraic degree of these curves. Some examples illustrate the results.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Given two plane curves c1 and c2 we call the set of points from which c1 and c2 are seen under equal angle the equioptic curve. We give some basic results concerning equioptic curves in general. Then we pay our attention to the seemingly simple case of equioptic curves of conic sections. Mainly we are interested in upper bounds of the algebraic degree of these curves. Some examples illustrate the results.

Key concepts: Conic section, Mathematics, Algebraic curve, Plane curve, Family of curves, Simple (philosophy), Degree (music), Set (abstract data type)

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