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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