Miquel point

Let $AECF$ be a complete quadrilateral, then the four circles circumcised to the four triangles : $AED$, $AFB$, $BEC$, $CDF$, are concurrent in a point $M$. This point is called the Miquel point.

The Miquel point is also the focus of the parabola inscribed to $AECF$.

Title	Miquel point
Canonical name	MiquelPoint
Date of creation	2013-03-22 14:05:30
Last modified on	2013-03-22 14:05:30
Owner	vmoraru (1243)
Last modified by	vmoraru (1243)
Numerical id	5
Author	vmoraru (1243)
Entry type	Definition
Classification	msc 51-00