Viviani by Vectors
Here is a proof of Viviani's Theorem by Hans Samelson (Mathematics Magazine, Vol. 76, No. 3 (Jun., 2003), p. 225) that admits a generalization to equiangular polygons.
The sum of the distances from a point P in an equilateral to the three sides of the triangle is independent of the position of P (and so equal to the altitude of the triangle.)
|Contact| |Front page| |Contents| |Geometry|
Copyright © 1996-2018 Alexander Bogomolny