Some of the properties of this circle are:
Property 1 : This circle also passes through the midpoints of the sides and of This was shown by Euler.
These three triples of points make nine in all, giving the circle its name.
Property 5 : All triangles inscribed in a given circle and having the same orthocenter, have the same nine-point circle.
|Date of creation||2013-03-22 13:11:20|
|Last modified on||2013-03-22 13:11:20|
|Last modified by||mathwizard (128)|
|Synonym||nine point circle|