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Isosceles triangle and two circles

Author:
FUKUCHAN
ABB' is isosceles triangle and points O1 and O2 are on line AM (M=midpoint of BB'). Circle O1 is tangented to BB', O2 is tangented to AB and AB'. Their common tangent lines pass through B or B'. Diameter ratio (O2/O1) = length ratio (PR/QP).