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)


Summary:

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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