Two circles, which are tangent externally, are inside and internally tangent to a third circle of radius 1. A diameter of the third circle is a common tangent of the two circles with one point of tangency

Two circles, which are tangent externally, are inside and internally tangent to a third circle of radius 1. A diameter of the third circle is a common tangent of the two circles with one point of tangency at its midpoint. What are the radii of the first two circles?

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Two circles, which are tangent externally, are inside and internally tangent to a third circle of radius 1. A diameter of the third circle is a common tangent of the two circles…

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