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Heron's formula

Ana Malavašič (2013) Heron's formula. Diploma thesis.

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    Abstract

    In the thesis we discuss Heron's formula in detail and present the proof of the formula. We start with introduction to geometry and continue with a short biography of Heron in the second section. The main theme of the thesis is Heron's formula. We present derivation of Heron's formula and then we prove the formula in seven different ways. In the following two chapters we discuss Heron's triangles and cyclic quadrilaterals. We continue with a short biography of Indian mathematician Brahmagupta and conclude the chapter with presenting Brahmagupta's formula for finding the area of a cyclic quadrilateral and showing that Heron's formula is a special case of Brahmagupta's formula. In conclusion, we present possible extensions of the thesis and fit Heron's formula into the secondary education.

    Item Type: Thesis (Diploma thesis)
    Keywords: area, Heron, triangle, Heron's formula, Heron's triangles, cyclic quadrilateral, Brahmagupta's formula
    Number of Pages: 62
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    izr. prof. dr. Marko RazpetMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=9585737)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 1372
    Date Deposited: 02 Apr 2013 07:01
    Last Modified: 02 Apr 2013 07:01
    URI: http://pefprints.pef.uni-lj.si/id/eprint/1372

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