Stručni rad

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

Circles Related to a Complete Quadrangle

Vladimir Volenec ; Prirodoslovno-matematički fakultet, Matematički odsjek Sveučilišta u Zagrebu, Zagreb, Hrvatska
Ema Jurkin orcid.org/0000-0002-8658-5446 ; Rudarsko-geološko-naftni fakultet Sveučilišta u Zagrebu, Zagreb, Croatia
Marija Šimić Horvath orcid.org/0000-0001-9190-5371 ; Arhitektonski fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska *

* Dopisni autor.

Sažetak

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.

Ključne riječi

complete quadrangle; pedal triangles; pedal circles

Hrčak ID:

311719

URI

https://hrcak.srce.hr/311719

Datum izdavanja:

21.12.2023.

Podaci na drugim jezicima: hrvatski

Posjeta: 749 *