medial triangle

The medial triangleMathworldPlanetmath of a triangle ABC is the triangle formed by joining the midpointsMathworldPlanetmathPlanetmathPlanetmath of the sides of the triangle ABC.

Here, ABC is the medial triangle. The incircleMathworldPlanetmath of the medial triangle is called the Spieker circle and the incenterMathworldPlanetmath is called the Spieker center. The circumcircleMathworldPlanetmath of the medial triangle is called the medial circle.

An important property of the medial triangle is that the medial triangle ABC of the medial triangle DEF of ABC is similarMathworldPlanetmath to ABC.

Title medial triangle
Canonical name MedialTriangle
Date of creation 2013-03-22 13:11:17
Last modified on 2013-03-22 13:11:17
Owner yark (2760)
Last modified by yark (2760)
Numerical id 8
Author yark (2760)
Entry type Definition
Classification msc 51-00
Synonym auxiliary triangle
Defines Spieker center
Defines Spieker circle
Defines medial circle