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Haga's theorems

Maja Ravnikar (2012) Haga's theorems. Diploma thesis.

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    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.

    Item Type: Thesis (Diploma thesis)
    Keywords: origami, Haga's theorems, Pytagoras' theorem, Pythagorean triples
    Number of Pages: 68
    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=9310793)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 936
    Date Deposited: 19 Jul 2012 12:00
    Last Modified: 19 Jul 2012 12:00
    URI: http://pefprints.pef.uni-lj.si/id/eprint/936

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