>I have a PWW that is a slight twist on my original post.
>Rather than solving for cosA and cosB, I took the equation:
>
>c = acosB + bcosA and multiplied both sides by c. Then I
>envisioned this as the square of side c being equal to the
>sum of two rectangles drawn off of sides a and b whose
>widths are c*cosB and c*cosA respectively.
>

The Monthly now has this PWW in its 'filler archive' awaiting proper page space to be published. I'll let you know if/when it does.