Mamikon's Method for the Area of the Cycloid
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.
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.