원문 출처 : http://mathworld.wolfram.com/Circle.html 중 일부 입니다.
The equation of a circle passing through the three points for , 2, 3 (the circumcircle of the triangle determined by the points) is
(25)
The center and radius of this circle can be identified by assigning coefficients of a quadratic curve
(26)
where and (since there is no cross term). Completing the square gives
(27)
The center can then be identified as
(28)
(29)
and the radius as
(30)
where
(31)
(32)
(33)
(34)
Four or more points which lie on a circle are said to be concyclic . Three points are trivially concyclic since three noncollinear points determine a circle.
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Machine Vision & Image Processing