Three circular petals surround a red pistil which is orthogonal to each of the petals. Given the petals, construct the pistil. (You may assume that you are given a direct way to construct a tangent line from an exterior point to any circle.)

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## Solution

Tangent line from intersection radical axes give answer.

Stéphane Bernard: Radical center is point from where the tangents to the 3 circles have the same length. Tangents, as radius of the pistol circle, make it orthogonal to the 3 circles.