Share
Pin it!
Google Plus




Subscriber? Sign in to access.


 

Algebra in the Service of Geometry: Can Euler's Line Be Parallel to a Side of a Triangle?

Damon Diemente 

May 2000, Volume 93, Issue 5, Page 428

Abstract:
This investigation of Euler's line has become a regular and valued unit in my honors-geometry syllabus. It originated with an intelligent question from a curious student. Its geometric foundation comprises sophisticated Euclidean triangle geometry. Its solution requires plentiful but not excessively complicated algebra. It culminates in the discovery of a conic locus that can be verified by construction on a computer screen.

Keywords:
Article
Grades 9-12
Geometry & Measurement
Teacher
Problems
Problem Solving / Problem Posing
Reasoning and Proof