how to find thefrom the given graph in mathematica 7??curve parametric equations

the graph in the attach file, and its name Cycloid

Cycloid - Wikipedia, the free encyclopedia

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- May 25th 2010, 08:42 AMaciedcurves eq. mathematica
how to find the

from the given graph in mathematica 7??__curve parametric equations__

the graph in the attach file, and its name Cycloid

Cycloid - Wikipedia, the free encyclopedia - May 25th 2010, 12:59 PMgalactus
The parametric equations for a cycloid are given by

$\displaystyle x=a{\phi}-a\cdot sin{\phi}, \;\ y=a-a\cdot cos{\phi}$

Where 'a' is the radius of the circle.

To plot in Mathematica, maybe let a=1 or some other arbitrary value.

I let a=1 here, and the range can be whatever. I just used 4 Pi to show 2 'rolls'.

**ParametricPlot[{u-Sin[u],1-Cos[u]},{u,0,4Pi}]**

Does this help?

- May 25th 2010, 02:51 PMacied
but how can i get the curve equation from the data which is in the graph??