[font=Trebuchet MS][size=150]In fact, I inspired this research from my calculus class ironically.[br]In our school, the course of Calculus is mandatory class for junior and senior students.[br]When I was junior last year, I learned Cycloid Curve while learning the chapter about parametric equations and polar coordinates.[br]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.[br]While I learning about cycloid, I threw the question myself that how to explain cycloid well to others if they ask me later.[br]I kept my question for a long while and I learned GeoGebra from my instructor.[br]Then, I decided to visualize the cycloid curve with the use of GeoGebra.[/size][/font]