Theorems Regarding Points on the Euler Line
Faculty Sponsor
Mindy Capaldi
College
Arts and Sciences
Discipline(s)
Mathematics and Statistics
ORCID Identifier(s)
orcid.org/0000-0002-2835-1449
Presentation Type
Poster Presentation
Symposium Date
Spring 4-23-2016
Abstract
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.
Recommended Citation
Lezark, Kathryn E., "Theorems Regarding Points on the Euler Line" (2016). Symposium on Undergraduate Research and Creative Expression (SOURCE). 552.
https://scholar.valpo.edu/cus/552
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.