Hagovi izreki

Abstract

Keywords

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Language:	Slovenian
Year of publishing:	2012
Source:	Ljubljana
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[M. Ravnikar]
UDC:	51(043.2)
COBISS:	9310793
Views:	890
Downloads:	194
Average score:	0 (0 votes)
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Other data

Secondary language:	English
Secondary title:	Haga's theorems
Secondary abstract:	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.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. Ljubljana, Pedagoška fak., Matematika in tehnika
Pages:	XI, 68 str.
Type (ePrints):	thesis
Title (ePrints):	Haga's theorems
Keywords (ePrints):	origami
Keywords (ePrints, secondary language):	origami
Abstract (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.
Abstract (ePrints, secondary language):	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.
Keywords (ePrints, secondary language):	origami
ID:	8310556