Feuerbachova točka

Mihalic, Maja (2015) Feuerbachova točka. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this paper we proved the part of the famous Feuerbach theorem, that is, Feuerbach circle of any triangle is tangent to its incircle at Feuerbach point. Then, we connected Feuerbach point with other special points of the triangle. In fact, we have observed it in the role of anti-Steiner point, orthopole, Poncelet point and we have established a relation between Feuerbach point and Euler reflection point. Finally, a generalization of Feuerbach theorem which is known as the Third Fontène theorem is given. Through the entire paper the knowledge of directed angles was used which made many of proofs easier.

Item Type: Thesis (Diploma thesis)
Supervisor: Bombardelli, Mea
Date: 2015
Number of Pages: 71
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 23 Oct 2015 08:44
Last Modified: 23 Oct 2015 08:44
URI: http://digre.pmf.unizg.hr/id/eprint/4170

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