Equioptic Curves of Conic Sections
Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 29-43
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
51N35
Mots-clés : Equioptic curves, isoptic curve, orthoptic curve
Mots-clés : Equioptic curves, isoptic curve, orthoptic curve
@article{JGG_2010_14_1_JGG_2010_14_1_a2,
author = {B. Odehnal },
title = {Equioptic {Curves} of {Conic} {Sections}},
journal = {Journal for geometry and graphics},
pages = {29--43},
year = {2010},
volume = {14},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a2/}
}
B. Odehnal . Equioptic Curves of Conic Sections. Journal for geometry and graphics, Tome 14 (2010) no. 1, pp. 29-43. http://geodesic.mathdoc.fr/item/JGG_2010_14_1_JGG_2010_14_1_a2/