Circular Inclusion
James T. Sandefur, John W Mason · College Mathematics Journal · 2013
SummaryGiven a family of p ≥ 3 points in the plane, some three of them have the property that the smallest circle encompassing them encompasses all p points. Similarly, we show that for p ≥ 3 circles, there are three of them such that the smallest circle encompassing them encompasses all the circles, and that there are three circles for which the smallest circle encompassing and tangent to them encompasses all the circles.