Mamikon's Method for the Area of the Cycloid
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.
Details
Details
In 1959, Mamikon Mnatsakanian, usually known as Mamikon, devised an original method for solving problems in geometry. His method is described in[1].
In this Demonstration, an example is presented based on work by Ujjwal Rane[2], where the area of the cycloid is obtained without recourse to the methods of calculus.
References
References
[2] U. Rane. Geometry with MicroStation Mamikon's Theorem[Video]. (Nov 4, 2019) www.youtube.com/watch?v=sjqKfuuDZqA.
Permanent Citation
Permanent Citation
Tomas Garza
"Mamikon's Method for the Area of the Cycloid" from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/MamikonsMethodForTheAreaOfTheCycloid/
Published: November 5, 2019