E648 -- Solutio facilis problematis, quo quaeritur circulus, qui datos tres circulos tangat

(An easy solution of a problem, in which a circle is searched for, given three circles tangent to it)


Euler gives us three points, A, B, and C, the distances between them, and that they are centers of circles of radius a, b and c respectively. He finds a point O, the center of a circle, and the radius, x, of that circle, such that the circle is tangent to each of the three given circles.

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