Carlyle Circle
Carlyle Circle
The Carlyle circle of the quadratic equation -sx+p is the circle with diameter AB, where A = and B = . The points where this circle intersects the axis are the roots of this equation, and the center of the circle is the intersection of the segments AB and CD, where C = and D = .
2
x
(0,1)
(s,p)
x
(s,0)
(0,p+1)