Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re: Transformation
Posted:
Apr 20, 2013 8:26 PM


"salonowiec" <debrza@poczta.onet.pl> wrote in message news:136c689bc1ee4a218a872f1f07ad65d3@googlegroups.com... >Years ago I was busy with solving "Soddy Circles"  circles tangent to three given ones. I used some kind of operation that transformed: circle to circle or circle to a straight line or straight line to circle etc. Can anybody remind what this transformation was? Thank you...
Perhaps Mobius transformations of the complex plane?
These are maps from C to C of the form:
z > (az + b) / (cz + d)
for complex constants a,b,c,d, where ad != bc. They all map lines and circles to lines and circles.
Regards, Mike.



