Bankoff Circle

Eric W. Weisstein
January 11, 2002

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PlaneGeometry/BankoffCircle.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/BankoffCircle.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Figure

<<Arbelos`

r=.6;

aa={0,0};
bb={r,0};
cc={1,0};

pts={aa,A,bb,B,cc,C,CircleCenter@ArbelosCircle[6,3,r],(Subscript[C, 6])'',
	{r/(2-2r+r^2),r(1-r)/(2-2r+r^2)},(Subscript[P, A]),
	{r(1+r)/(1+r^2),r(1-r)/(1+r^2)},(Subscript[P, B]),
	{r^2/(1-2r+2r^2),r(1-r)/(1-2r+2r^2)},(Subscript[P, C])};
				
Show[Graphics[{
Arbelos[r],
PappusDisk[1,r],
PointLabels[pts,.025,.03],
ArbelosCircle[6,3,r]
}
],AspectRatio->Automatic]