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circle with common tangent, common chord

Author:
perspect
This is a plot of two circles, with color red and blue (try to drag the blue bars and red bars to change the size of the circle) They may have a common tangent or a common chord (intersect at one of two points) and the green bar controls the size of circle with the fixed intersection points. You should first try to change the size of the two circles first. See the change of it when you drag the bar. Then you may find the circle intersect at two points and drag the green bar to see the green circle.