Generalized Apollonian Circles
Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 225-23
Cet article a éte moissonné depuis la source Heldermann Verlag
Given a triangle, we construct a one-parameter family of triads of coaxial circles orthogonal to circumcircle and mutually tangent to each other at a point on the circumcircle. This is a generalization of the classical Apollonian circles which intersect at the two isodynamic points.
Classification :
51M04
Mots-clés : Apollonian circles, barycentric coordinates, circumconics
Mots-clés : Apollonian circles, barycentric coordinates, circumconics
@article{JGG_2004_8_2_JGG_2004_8_2_a9,
author = {P. Yiu },
title = {Generalized {Apollonian} {Circles}},
journal = {Journal for geometry and graphics},
pages = {225--23},
year = {2004},
volume = {8},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a9/}
}
P. Yiu . Generalized Apollonian Circles. Journal for geometry and graphics, Tome 8 (2004) no. 2, pp. 225-23. http://geodesic.mathdoc.fr/item/JGG_2004_8_2_JGG_2004_8_2_a9/