Mamikon's Method for the Area of the Cycloid
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The area under the curve traced by a point at the end of the diameter of a circle with radius 1—a cycloid—is determined using only geometric concepts.
Contributed by: Tomas Garza (November 2019)
Open content licensed under CC BY-NC-SA
In 1959, Mamikon Mnatsakanian, usually known as Mamikon, devised an original method for solving problems in geometry. His method is described in .
In this Demonstration, an example is presented based on work by Ujjwal Rane , where the area of the cycloid is obtained without recourse to the methods of calculus.
 Wikipedia. "Visual Calculus." (Nov 4, 2019) en.wikipedia.org/wiki/Visual_calculus.
 U. Rane. Geometry with MicroStation Mamikon's Theorem [Video]. (Nov 4, 2019) www.youtube.com/watch?v=sjqKfuuDZqA.