Why Cycloid?

The Reason Why I select Cycloid Curve

In fact, I inspired this research from my calculus class ironically. In our school, the course of Calculus is mandatory class for junior and senior students. When I was junior last year, I learned Cycloid Curve while learning the chapter about parametric equations and polar coordinates. As you can see from the three below pictures, there is a detailed description about cycloid curve and there is also the proof of parametric equation of cycloid. While I learning about cycloid, I threw the question myself that how to explain cycloid well to others if they ask me later. I kept my question for a long while and I learned GeoGebra from my instructor. Then, I decided to visualize the cycloid curve with the use of GeoGebra.

Stewart Calculus Cover Page

Stewart Calculus Cover Page

Description of Cycloid # 1

Description of Cycloid # 1

Description of Cycloid # 2

Description of Cycloid # 2