Reuleaux Triangle
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A Curve of Constant Width constructed by drawing arcs from each Vertex of anEquilateral Triangle between the other two Vertices. It is the basis for the Harry Wattsquare drill bit. It has the smallest Area for a given width of any Curve of Constant Width.
The Area of each meniscus-shaped portion is
 | (1) |
 | (2) |
 | (3) |
References
Bogomolny, A. ``Shapes of Constant Width.'' http://www.cut-the-knot.com/do_you_know/cwidth.html. Eppstein, D. ``Reuleaux Triangles.''http://www.ics.uci.edu/~eppstein/junkyard/reuleaux.html. Reuleaux, F. The Kinematics of Machinery. New York: Dover, 1963. Wagon, S. Mathematica in Action. New York: W. H. Freeman, pp. 52-54 and 381-383, 1991. Yaglom, I. M. and Boltyansky, B. G. Convex Shapes. Moscow: Nauka, 1951.
- Cylindrical Projection
- Cylindrical Segment
- Cylindrical Wedge
- Cylindroid
- Daisy
- d'Alembertian Operator
- d'Alembert Ratio Test
- d'Alembert's Equation
- d'Alembert's Solution
- d'Alembert's Theorem
- Damped Exponential Cosine Integral
- d-Analog
- Dandelin Spheres
- Danielson-Lanczos Lemma
- Darboux Integral
- Darboux-Stieltjes Integral
- Darboux Vector
- Darling's Products
- Dart
- Darwin-de Sitter Spheroid
- Darwin's Expansions
- Database
- Data Structure
- Daubechies Wavelet Filter
- Davenport-Schinzel Sequence