Abstract / Excerpt:

Abstract: Reuleaux Traingle and Its Extension is the result of the challenge derived from the article "Reuleaux Polygons" by Ivars Peterson (1996), "Curve of Constant Width" by J.D.E. Konhauser (1997, " Reuleaux Triangle & Constant Curves" by Eric W. wesstein (1999), and 'Constant Width Shapes" by Alexander Bogolmony (2001). This study focused only on the construction of Ruleaux Traingle based on the extended length of an equilateral and irregular triangle. It has been shown that when the sides of an equilateral triangle and irregular triangle are extended in equal lengths, a Reuleaux Triangle is constructed. It has been shown further by direct proof that their perimeter is equal to the circumference of the circular region. And therefore, Reuleaux Triangle and its extension is a curve of constant width. Based on the conclusions derived in this study, it is proposed that a similar study be replicated to further investigate n-gons of a Reuleaux Polygon to answer the following questions: 1) is it possible to construct Reuleaux polygons with extended length based on 5,7,9,11, ...... n-odd sides? Does it also work with an even number of sides? 2) Theorem that has been used in this study are recommended to be proven further. 3) What about the area of the circle and Reuleaux triangle? Are they equal?

Info

Source Institution	Ateneo de Davao University
Unit	Social Science
Authors	Gambe-Coquilla, Jean L.
Page Count	1
Place of Publication	Davao City
Original Publication Date	March 1, 2004
Tags	Dissertations, Triangle.

Preview