IJPAM: Volume 107, No. 4 (2016)
Department of Mathematics
College at Old Westbury
223 Store Hill Road, Old Westbury, NY 11568, USA
Abstract. Mamikon A. Mnatsakanian showed the area swept out by a tangent is equal to the area of its corresponding Ikon (collecting all the tangent lines as if the originated from one common point). Here we extend Mamikon's theorem to areas swept by normal lines and other regions.
Received: November 11, 2016
AMS Subject Classification: 53
Key Words and Phrases: Mamikon's Theorem, tangent sweeps, ikon
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DOI: 10.12732/ijpam.v107i4.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 959 - 964