Hagovi izreki

Povzetek

Ključne besede

Podatki

Jezik:	Slovenski jezik
Leto izida:	2012
Izvor:	Ljubljana
Tipologija:	2.11 - Diplomsko delo
Organizacija:	UL PEF - Pedagoška fakulteta
Založnik:	[M. Ravnikar]
UDK:	51(043.2)
COBISS:	9310793
Št. ogledov:	890
Št. prenosov:	194
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
Sekundarni naslov:	Haga's theorems
Sekundarni povzetek:	The thesis presents the art of folding paper called origami and its relationship to the Haga theorems for a square piece of paper.It describes how to get a general equation for the ratio of certain sections of sides, after folding the paper. Also mentioned in the thesis are three ancient problems: the problem of angle trisection, the problem of doubling the cube and the problem of squaring the circle. It describes the approximate solution of the angle trisection problem by folding and the approximate solution of division of sides in the ratio 1:∛2. Both solutions were obtained by using the Haga theorems. The thesis contains a worksheet with which the pupils can explore the characteristics of the geometric shapes, which they have obtained by folding paper.
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:	XI, 68 str.
Vrsta dela (ePrints):	thesis
Naslov (ePrints):	Haga's theorems
Ključne besede (ePrints):	origami
Ključne besede (ePrints, sekundarni jezik):	origami
Povzetek (ePrints):	V diplomskem delu je predstavljena umetnost prepogibanja papirja, origami, in z njim povezani Hagovi izreki za kvadratni list papirja. Opisano je, kako dobiti splošno formulo za razmerje določenih odsekov stranic po pregibanju papirja. Omenjeni so tudi trije antični problemi: problem trisekcije kota, problem podvojitve kocke in problem kvadrature kroga. Opisani sta približna rešitev problema tretjinjenja kota s prepogibanjem in približna rešitev razdelitve stranice v razmerju 1:∛2. Diplomsko delo vsebuje tudi učni list, s katerim učenci sami s prepogibanjem papirja raziskujejo lastnosti nastalih geometrijskih likov.
Povzetek (ePrints, sekundarni jezik):	The thesis presents the art of folding paper called origami and its relationship to the Haga theorems for a square piece of paper.It describes how to get a general equation for the ratio of certain sections of sides, after folding the paper. Also mentioned in the thesis are three ancient problems: the problem of angle trisection, the problem of doubling the cube and the problem of squaring the circle. It describes the approximate solution of the angle trisection problem by folding and the approximate solution of division of sides in the ratio 1:∛2. Both solutions were obtained by using the Haga theorems. The thesis contains a worksheet with which the pupils can explore the characteristics of the geometric shapes, which they have obtained by folding paper.
Ključne besede (ePrints, sekundarni jezik):	origami
ID:	8310556