Invert P in the circle U to form a point Q. Reflect Q in the point P to form R, then reflect R in the line L to obtain a point S. Then you want the unique circle passing through {P,Q,S}. As you may have noticed, I've been doing some hyperbolic geometry myself recently on the Poincare disc model. :) http://cp4space.wordpress.com/2012/09/02/imitating-escher/ Sincerely, Adam P. Goucher http://cp4space.wordpress.com/ ----- Original Message ----- From: "Mike Stay" <metaweta@gmail.com> To: "math-fun" <math-fun@mailman.xmission.com> Sent: Monday, September 03, 2012 10:17 PM Subject: [math-fun] Constructing a hyperbolic geodesic
Given the unit circle U, a line L that intersects that circle, and a point P within the circle on the line, how do I construct the one circle C that is both tangent to L at P and intersects U at right angles? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
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