Circle equation problem
- To: mathgroup at smc.vnet.net
- Subject: [mg61525] Circle equation problem
- From: Daniele Lupo <danwolf80_no_spam_ at libero.it>
- Date: Fri, 21 Oct 2005 00:38:10 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi to all. I've this equation: Abs[p]^2 == Abs[(G - X + I*Y)/(-1 + G*(X + I*Y))]^2 It represent a circle in the complex plane; X and Y are coordinates in the complex plane (point is X + I Y), while G, p are complex parameters. I want to write it in this standard form for a circle in the cartesian plane: (X - Xcenter)^2 + (Y - YCenter)^2 - ray^2 == 0 In this way, the center in the complex plane is XCenter + I YCenter, With some effort I think to be able to solve it by hand, but I want to know if there's a (easy?) way to find center and ray of the circle with Mathematica. How can I find Xcenter, YCenter and ray from the original equation? Thanks for your answers. Daniele Lupo PS: Thank you for all your replies in my previous posts!!! :-)