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On the problem to construct the minimum circle enclosing n given points in a plane

1884; Cambridge University Press; Volume: 3; Linguagem: Inglês

10.1017/s0013091500037238

1464-3839

Chrystal,

History and Theory of Mathematics

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. If C be a right angle, the radius of the circle, being ½AB, cannot be farther diminished.