The inscribed angle theorem states that
. The theorem is true for when point B is located between points A and C relative to the perimeter. But what would happen if B was located exactly at A or C? Angle B would obviously equal 0 and so would the length of one of it's legs, but my question is, is this transition discrete or continuous? In other words, as the length of either line BA or BC approaches 0, does angle B also approach 0? Or is it unaffected?