Publication details

Řetězové zlomky a quasipythagorejské trojice

Title in English Continued fractions and quasi-pythagorean triples
Authors

BERÁNEK Jaroslav

Year of publication 2014
Type Article in Proceedings
Conference Matematické vzdělávání v primární škole - tradice, inovace
MU Faculty or unit

Faculty of Education

Citation
Field Pedagogy and education
Keywords Real numbers; continued fraction; Pythagorean triples
Description The article was created as the result of the research oriented at innovation of methods, content and forms of primary school teaching in connection with improvement of university education of future primary school teachers. The article describes the possibility of rational and irrational numbers approximation with the help of continued fractions. Based on this approximation, there are derived approximate values of goniometric functions of some angles with the aid of fractions and consequently such formulation is used for the introduction of quasi-Pythagorean triples. Thus it is possible to construct a triangle which is not a rectangular one, but does not nearly differ from a rectangular one.

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