- John Golden
So I was playing with parametric tangent rays and Steve Phelps responded with a crazy image of a Simson Circle. That's not a thing, yet, as far as I know. The Simson Line is a sweet little geometry result that if you find the feet of the altitudes from a point on a circumcircle to the extended sides of a triangle, they are colinear. Steve said what if it was a conic instead of a circumcircle, and you found the circle of the three points. Since 5 points determine a conic I made this sketch to look at the Simson conics formed by a pentagon. (To get the five feet needed...) So fun. Thanks, Steve!