Talk:Isogonal conjugate

Isogonal conj. of line wrt a vertex?
This article has been around since 2005, yet no one has mentioned the isogonal conjugate of a line with respect to (a vertex, a pair of sides meeting at a vertex, the angle bisector at a vertex ... terminology does not seem to be standard). This is the other line of a pair of isogonal lines. Older papers talk about this as well as the isogonal conjugate of a point. In fact, they define the isogonal conjugate of a point P as the intersection of the isogonal conjugates of the cevians which meet at P. Of course, this terminology conflicts with the view of isogonal conjugacy as a function on the interior points of a triangle, where you would call the isogonal conjugate of a point set the set of isogonal conjugates of the points of the set. In this view, the isogonal conjugate of a line is not a line, it is a circumconic. Unfortunately, both uses of the term are still used and in some cases they are both used in the same paper. I think it is important to bring this up in the article, but I have hesitated in doing so because the article would look radically different if this is incorporated. Any comments? Bill Cherowitzo (talk) 20:37, 29 October 2012 (UTC)