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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