A few more properties of the Miquel line

More properties of the generalised Simson-Wallace line
1. If line PA1 is extended to meet circumcircle at U, then line AU is parallel to the Miquel line A1B1C1.
2. The Miquel lines of diametrically opposite points P and P2 on the circumcircle are perpendicular to each other - provided lines from P2 to sides are drawn parallel to those from P to the sides.


More properties of the generalized Simson-Wallace line

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Created by Michael de Villiers, March 2009. Modified 22 April 2020.