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Stuck in the middle

A right triangle with semicircles along its perpendicular sides having lengths a and b. Two smaller inscribed circles. What is the proportion blue : red in terms of a and b?

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Solution

Blue : red is a2/b2.

Solution by Peter Gallin.

Poem

Stuck in the middle
Clowns to the left of me
Jokers to the right
Here I’m stuck in the middle with you
Yes, I’m stuck in the middle with you
And I’m wondering what it is I should do….

A song from (Stealers Wheel)

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