Braikenridge-Maclaurin Theorem


The converse of Pascal's theorem, which states that if the three pairs of opposite sides of (an irregular) hexagon meet at three collinear points, then the six vertices lie on a conic, which may degenerate into a pair of lines (Coxeter and Greitzer 1967, p. 76).

See also

Braikenridge-Maclaurin Construction, Conic Section, Pascal's Theorem

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Coxeter, H. S. M. Projective Geometry, 2nd ed. New York: Springer-Verlag, p. 85, 1987.Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., p. 76, 1967.

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Braikenridge-Maclaurin Theorem

Cite this as:

Weisstein, Eric W. "Braikenridge-Maclaurin Theorem." From MathWorld--A Wolfram Web Resource.

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