Theorems Regarding Points on the Euler Line

Faculty Sponsor

Mindy Capaldi


Arts and Sciences


Mathematics and Statistics

ORCID Identifier(s)


Presentation Type

Poster Presentation

Symposium Date

Spring 4-23-2016


The Euler line of a triangle passes through several important points, including three specific triangle centers: the centroid, orthocenter, and circumcenter. Each of these centers is the intersection of lines related to the triangle, mainly its medians, altitudes, and perpendicular bisectors, respectively. The theorems presented here involve creating a triangle and picking a specific point. Then after connecting the triangle’s vertices to that point, thereby creating additional triangles, I establish connections to either the centroids, orthocenters, or circumcenters of the new triangles.

Biographical Information about Author(s)

Katie Lezark is a sophomore mathematics major with a Japanese minor. Math has always been her favorite subject. She developed the centroid theorem for a project while in her geometry class last semester. She discovered these theorems by exploring Geogrebra, a geometry software.

This document is currently not available here.