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Curves of constant width
Němec, Miroslav ; Slavík, Antonín (advisor) ; Staněk, Jakub (referee)
Title: Curves of constant width Author: Miroslav Němec Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D., Department of Mathematics Education Abstract: The aim of this thesis is to familiarize the reader with the notion of the width of a given plane curve, and with curves having the same width in all directions. We focus our attention especially on those curves that are constructible using straightedge and compass. The chapters presenting the definition and measurement of curve width, as well as the construction of curves from circular arcs, are accessible to high-school students. We also briefly mention other related topics, such as the solids of constant width. Keywords: Width of a curve, constant width, construction, properties
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Curves of constant width
Němec, Miroslav ; Slavík, Antonín (advisor) ; Staněk, Jakub (referee)
Title: Curves of constant width Author: Miroslav Němec Department: Department of Mathematics Education Supervisor: RNDr. Antonín Slavík, Ph.D., Department of Mathematics Education Abstract: The aim of this thesis is to familiarize the reader with the notion of the width of a given plane curve, and with curves having the same width in all directions. We focus our attention especially on those curves that are constructible using straightedge and compass. The chapters presenting the definition and measurement of curve width, as well as the construction of curves from circular arcs, are accessible to high-school students. We also briefly mention other related topics, such as the solids of constant width. Keywords: Width of a curve, constant width, construction, properties
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