Document Type
Report
Source Publication Title
Technical Report 313
Abstract
The law of cosines from trigonometry is used to obtain elliptic integrals of the second kind to calculate the "self-circumference" of a Reuleaux triangle and the self-circumference of a rotor in an equilateral triangle. The Euclidean lengths of the polar duals of these sets with respect to their centers are expressed in terms of elliptic integrals of the second kind. Geometric inequalities for the polar duals of rotors in the plane are discussed.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-1996
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
O'Neill, Edward J. and Ghandehari, Mostafa, "Self-Circumference of Rotors" (1996). Mathematics Technical Papers. 108.
https://mavmatrix.uta.edu/math_technicalpapers/108