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 a^{2}/b^{2}.

## 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)