Soddy line
The Soddy line of a triangle is the line that goes through the centers of the two Soddy circles of that triangle.
The Soddy line intersects the
Gergonne point and the incenter
of the triangle are located on the Soddy line as well.
The line is named after Nobel laureate Frederick Soddy, who published a proof of a special case of Descartes' theorem about tangent circles as a poem in Nature in 1936.
References
- Zuming Feng: Why Are the Gergonne and Soddy Lines Perpendicular? A Synthetic Approach. In: Mathematics Magazin, Band 81, Nr. 3, Juni 2008, S. 211-214 (JSTOR)
- Roger Alperin: The Gergonne and Soddy lines. In: Elemente der Mathematik,. Band 70, Nr. 1, 2015, S. 1-6 (online)
External links
Wikimedia Commons has media related to Soddy line.