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The circumferences of three unequal circ...

The circumferences of three unequal circles whose centres are A, B and C pass througha common point, O, from which lines are drawn through A, B and C meeting the circumferences at A', B' and C". Show that the sides of `DeltaA'B'C'` pass through the other points of intersection of the circles and are respectively parallel to the sides of the `DeltaABC`

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