corollary of Morley’s theorem

We describe here, informally, a limiting case of Morley’s theorem.

One of the vertices of the triangle ABC, namely C, has been pushed off to infinity. Instead of two segments BC and CA, plus two trisectors between them, we now have four parallelMathworldPlanetmathPlanetmath and equally spaced lines. The triangle PQR is still equilateral, and the three triangles adjacentPlanetmathPlanetmathPlanetmath to it are still isosceles, but one of those has become equilateral. We have

Title corollary of Morley’s theorem
Canonical name CorollaryOfMorleysTheorem
Date of creation 2013-03-22 13:46:22
Last modified on 2013-03-22 13:46:22
Owner drini (3)
Last modified by drini (3)
Numerical id 8
Author drini (3)
Entry type Corollary
Classification msc 51M04