Simsonov pravac i poopćenja

Vrančić, Katarina (2014) Simsonov pravac i poopćenja. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

At the beginning of this thesis Simson’s line with its properties is defined. It’s a line that encompasses the orthogonal projection of a point P of a circle of a triangle ABC on the line’s that belong to the sides of the triangle. Furthermore, a set of colinear points belonging to Steiner’s line is defined. In the following chapter the properties of the Steiner’s line are listed and proved. Additionally we introduce the link between Steiner’s line and Simson’s line. Third chapter is dedicated to the relationship between the two Simson’s lines, while in the fourth we meet generalized Simson’s line and its relationship to Simson’s line. At the very end we observe Simson’s line of each of the vertices of a cyclic quadrilateral.

Item Type: Thesis (Diploma thesis)
Supervisor: Bombardelli, Mea
Date: 2014
Number of Pages: 45
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 01 Sep 2015 11:29
Last Modified: 01 Sep 2015 11:29
URI: http://digre.pmf.unizg.hr/id/eprint/4205

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