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Golden section in geometry

Maša Nahtigal (2017) Golden section in geometry. MSc thesis.

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    Abstract

    The present thesis deals with golden section in geometry, which can be constructed in many different ways. After an overview of classical constructions and some modern cases follows a deeper examination of examples of the golden section in geometry, largely based on research articles related to this matter. Those articles refer to the golden section and quasi twelve-point star, triangle centers in the golden triangles, regular polygons, parabola, Fibonacci circle chains and iterated harmonic divisions. Propositions will mostly be proved by definitions and theorems from elementary and partly from projective geometry, with some additional ones introduced in individual cases.

    Item Type: Thesis (MSc thesis)
    Keywords: golden section, golden number, construction of the golden section, golden triangle, Fibonacci sequence
    Number of Pages: 94
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    prof. dr. Matija CenceljMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=11689801)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 4642
    Date Deposited: 12 Sep 2017 12:12
    Last Modified: 12 Sep 2017 12:12
    URI: http://pefprints.pef.uni-lj.si/id/eprint/4642

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