Heronova formula

Abstract

Keywords

Data

Language:	Slovenian
Year of publishing:	2013
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[A. Malavašič]
UDC:	51(043.2)
COBISS:	9585737
Views:	681
Downloads:	132
Average score:	0 (0 votes)
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Other data

Secondary language:	English
Secondary title:	Heron's formula
Secondary 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.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Matematika in tehnika
Pages:	VI, 62 f.
Type (ePrints):	thesis
Title (ePrints):	Heron's formula
Keywords (ePrints):	ploščina
Keywords (ePrints, secondary language):	area
Abstract (ePrints):	V diplomskem delu smo podrobneje obravnavali ter dokazali Heronovo formulo. Uvodne besede smo namenili geometriji ter v drugem poglavju nadaljevali s kratkim življenjepisom o Heronu. Glavna nit diplomskega dela je Heronova formula, katero smo izpeljali ter dokazali na sedem načinov. Sledita dve poglavji, ki smo ju namenili Heronovim trikotnikom ter tetivnim štirikotnikom. Nadaljevali smo s kratkim življenjepisom indijskega matematika Brahmagupte in poglavje zaključili z Brahmaguptovo formulo za izračun ploščine tetivnega štirikotnika ter ugotovitvijo, da je Heronova formula poseben primer Brahmaguptove formule. V zaključku smo podali možnosti razširitve diplomskega dela ter Heronovo formulo umestili v srednješolsko izobraževanje.
Abstract (ePrints, secondary language):	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.
Keywords (ePrints, secondary language):	area
ID:	8311289