Circles related to a complete quadrangle

Professional paper - Professional paper

• Author: Ema Jurkin
• Author: Marija Šimić Horvath
• Author: Vladimir Volenec
• Author's institution: University of Zagreb; Faculty of Architecture
• Author's institution: University of Zagreb; Faculty of Science
• Author's institution: University of Zagreb; Faculty of Mining, Geology and Petroleum Engineering; (Department of Mathematics, Informatics and Descriptive Geometry)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics; Geometry and Topology

Abstract (english)

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 (english): complete quadrangle; pedal triangles; pedal circles
• Language: english
• Publication type: Professional paper - Professional paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: KoG
• Numbering: no. 27, pp. 50-59
• p-ISSN: 1331-1611
• e-ISSN: 1846-4068
• DOI: https://doi.org/10.31896/k.27.6
• URN:NBN: urn:nbn:hr:169:956549
• Publication: 2023
• Document URL: https://hrcak.srce.hr/clanak/450118
• Type of resource: Text
• Access conditions: Open access
• Created on: 2025-03-25 11:00:57