- Hiroshi Okumura and Masayuki Watanabe,
*"A generalization of Power's Archimedean circles"*,

Forum Geometricorum 6, 2006 - Frank Power,
*"Some more Archimedean circles in the arbelos"*,

Forum Geometricorum 5, 2005

k : the ratio of the two black circles, 0<k<1

rA : radii of Archimedean circles (red circles).

Our results:

1. the radii of the pink circles (Generalized case) are 2(1-k)rA,

2. the radii of the green circles are (1-k)rA.

Power's Archimedean circles can be obtained when k=1/2.

Please scroll down and click the checkbox "Start,..." to start the applet.
rA : radii of Archimedean circles (red circles).

Our results:

1. the radii of the pink circles (Generalized case) are 2(1-k)rA,

2. the radii of the green circles are (1-k)rA.

Power's Archimedean circles can be obtained when k=1/2.