Heronova formula

Povzetek

Ključne besede

Podatki

Jezik:	Slovenski jezik
Leto izida:	2013
Izvor:	Ljubljana
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL PEF - Pedagoška fakulteta
Založnik:	[A. Malavašič]
UDK:	51(043.2)
COBISS:	9585737
Št. ogledov:	681
Št. prenosov:	132
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Heron's formula
Sekundarni povzetek:	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.
Sekundarne ključne besede:	mathematics;matematika;
Vrsta datoteke:	application/pdf
Vrsta dela (COBISS):	Diplomsko delo
Komentar na gradivo:	Univ. Ljubljana, Pedagoška fak., Matematika in tehnika
Strani:	VI, 62 f.
Vrsta dela (ePrints):	thesis
Naslov (ePrints):	Heron's formula
Ključne besede (ePrints):	ploščina
Ključne besede (ePrints, sekundarni jezik):	area
Povzetek (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.
Povzetek (ePrints, sekundarni jezik):	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.
Ključne besede (ePrints, sekundarni jezik):	area
ID:	8311289