References & Resources

Mathematics Project Competition
For Secondary Schools 2002/03

 

2nd Runner-up: Cycloid

TWGHs Mrs. Fung Wong Fung Ting College

 

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Introduction to the project (Provided by the school):

Mathematics Project Competition for Secondary Schools (2002-2003)

TWGHS Mrs. Fung Wong Fung Ting College

Title of Project: Cycloid

Members: HUI Man Wa (3A)

                Ku Man Lee (3A)

                Yuen Pik Wan (3A)

                Fork Chung Yin (3A)

The cycloid is the locus of a point on the rim of a circle rolling along a straight line. In this project, we attempted to find the arc length of cycloid and the area under the cycloid by observing the cycloids produced from various regular polygons. Specially, we used Excel as a tool instead of the method of integration. Furthermore, we also studied the properties of Epicycloid and Hypocycloid.