Review article

https://doi.org/10.31896/k.28.5

A Complete Quadrilateral in Rectangular Coordinates II

Vladimir Volenec ; Faculty of Science, University of Zagreb, Zagreb, Croatia
Ema Jurkin ; Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Zagreb, Croatia
Marija Šimić Horvath ; Faculty of Architecture, University of Zagreb, Zagreb, Croatia *

* Corresponding author.

Abstract

This paper is a continuation of research on a geometry of a complete quadrilateral in the Euclidean plane. We present the well-known facts on the complete quadrilateral but all proved in the same way by using rectangular coordinates, symmetrically on all four sides of the quadrilateral with four parameters a, b, c, d. The properties related to the central circle, orthopolar circle, Hervey's circle, Kantor's point and Plücker's points are observed. During this study, some new results come up.

Keywords

complete quadrilateral; central circle; orthopolar circle; Hervey's circle; Kantor's point; Plücker's points

Hrčak ID:

324094

URI

https://hrcak.srce.hr/324094

Publication date:

20.12.2024.

Article data in other languages: croatian

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