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On the problem to construct the minimum circle enclosing <i>n</i> given points in a plane

On the problem to construct the minimum circle enclosing <i>n</i> given points in a plane

If we consider the circle circumscribing any triangle ABC (see figures 11, 12), and diminish its radius still causing it to pass through A and B: then if ACB be an acute angle, C passes without the circle, but if ACB be an obtuse angle, C remains within the circle. …