line-( circle / ) lens intersection .
2008-08-06 13:51:44 GMT
Please let me known how to use Graph to
solve this problem . Thank you .
1. Let's R1 and R2 be the radii of 2 circles , equal to 1 .
2. the centers of the 2 circles are on 2 perpendicular axis x, y , at x=1, y=0 and x=0 and y=1 .
3. the 2 radii have an common initial point at x=1 , y=1 .
4. rotate the 2 radii clockwise with constant speed .
5. one of the 2 radii will generate an arc of 1/4 of a
circumference , from x=1 , y=1 to x=0 , y=0 .
6. the other radius will generate an other arc of 1/4
of a circumference , from x=1 , y=1 to x=0 , y=2 .
7. From x=0 , y=2 to x=0 , y=0 , on the second circle ,
a curve having the form of a lens ( left side half curve / upper half curve )
could be generated as a curve of rolling contact of
the 1st radius and the left side ( 2 quadrants ) of
the 2nd circle .
8. Compute and graph the left side curve / upper half curve of the lens .
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