See attachment for figure.

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- Nov 22nd 2008, 06:10 PMrmpatel5cycloid generated by a circle
See attachment for figure.

- Nov 23rd 2008, 12:25 AMMoo
Hello,

Consider the line from A to the y-axis. Its length is

It is also equal to

But

So we have

Consider the triangle ABP. It's a right angle triangle.

Length of BP is a.

Angle ABP is pi-t.

So since sin(ABP)=AP/BP, we get :

by simple trigonometry,

Hence

Finally :