Subject: GEOMETRIC PROBLEM
Date: Sun, 8 Nov 1998 14:29:38 +0200
I am looking for someone who can tell me how to construct a triangle by 2 sides and a bisectrix using a compass and a ruler.
The problem is easy to start: A bisectrix consists of 3 hyperbolas that come together in 3 cusps. Pascal's theorem enables one to find the tangents at those three cusps so, essentially, we are given three fixed lines passing through the centroid of the desired triangle. In other words, the problem reduces to,
Perhaps this is enough to get started.
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