Problem Solving in Geometry—A Sequence of Reuleaux Triangles

Autor:	James R. Smart
Rok vydání:	1986
Předmět:	Algebra Sequence Pure mathematics Secondary education Mathematics instruction Mathematics
Zdroj:	The Mathematics Teacher. 79:11-14
ISSN:	2330-0582 0025-5769
DOI:	10.5951/mt.79.1.0011
Popis:	A Reuleaux (pronounced “rue-low”) triangle is an example of a curve of constant width. The distance between parallel tangents is the same no matter which direction is used. A Reuleaux triangle ABC can be constructed (see fig. 1) by starting with an equilateral triangle ABC with sides of length w and drawing arcs of circles connecting two vertices, with the third vertex as center. Figure 1 also shows two pairs of parallel tangents. The length of the side of the equilateral triangle is the constant width for the associated Reuleaux triangle.
Databáze:	OpenAIRE
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