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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360916
Title: 
A rotating reuleaux triangle
Author(s): 
Boucher, Chris
Language: 
eng
Description: 
  • A Reuleaux triangle is a curve of constant width formed from an equilateral triangle by joining each pair of vertices with a circular arc centered at the third vertex (each radius is equal to the side length of the triangle). A Reuleaux triangle can be rotated inside a square and very nearly passes over every point of the square at some point in its rotation. This geometry is the basis for a drill bit that makes square holes, which was first patented by Harry Watts in 1914. The envelope of the Reuleaux triangle's rotation (blue) is elliptical at the corners and contains nearly 99% of the area of the square. The path of the centroid (purple) appears circular but in fact consists of an elliptical segment in each quadrant
  • Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática
Issue Date: 
  • 15-Sep-2008
  • 15-Sep-2008
  • 15-Sep-2008
  • 13-Sep-2008
Keywords: 
  • Triangle
  • Educação Superior::Ciências Exatas e da Terra::Matemática::Geometria Algébrica
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5411
URI: 
http://acervodigital.unesp.br/handle/unesp/360916
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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