Work

Circles with Centers at Vertices of Triangles in Barycentric Coordinates

Year: 2026

Type: article

Abstract: In this paper, two types of circles related to a triangle in the Euclidean plane are studied: circles with a center at one vertex that pass through the midpoints of opposite sides, and circles with a center at one vertex that pass through the remaining vertices. The properties of these circles are studied and proved by using barycentric coordinates.

Source: Mathematics

DOI: 10.3390/math14071170

Authors: Vladimir Volenec, Ema Jurkin, Marija Šimić Horvath

Institution: University of Zagreb

Language: English

Topic: Mathematics and Applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: European Commission