Professional paper

https://doi.org/10.31896/k.27.6

Circles Related to a Complete Quadrangle

Vladimir Volenec ; Faculty of Science, University of Zagreb, Zagreb, Croatia
Ema Jurkin orcid.org/0000-0002-8658-5446 ; Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Zagreb, Croatia
Marija Šimić Horvath orcid.org/0000-0001-9190-5371 ; Faculty of Architecture, University of Zagreb, Zagreb, Croatia *

* Corresponding author.

Abstract

This paper presents an overview of some properties of a complete quadrangle ABCD in the Euclidean plane. We study the circles with diameters AB, AC, AD, BC, BD, and CD, as well as the pedal triangles and the pedal circles of the points A, B, C, D with respect to the triangles BCD, ACD, ABD and ABC, respectively. The presented results are known in literature, but here we prove them using a single method.

Keywords

complete quadrangle; pedal triangles; pedal circles

Hrčak ID:

311719

URI

https://hrcak.srce.hr/311719

Publication date:

21.12.2023.

Article data in other languages: croatian

Visits: 749 *