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[問題]please help me proof the question

發表 komuroboy 於 星期五 六月 03, 2005 12:44 am

The cycloid-the curve traced by the path of a fixed point on a circle
which rolls smoothly on a straight line.
<1>the length of arch of the cycloid is four times the diameter
of the revolving circle.
<2>studying the area enclosed under the arch of the cycloid.
the area with a sheet of lead compared it to that of the revolving circle,
and determined the area was three times the area of the circle.


thx