Cosine Hexagon


The closed cyclic self-intersecting hexagon formed by joining the adjacent antiparallels in the construction of the cosine circle. The sides of this hexagon have the property that, in addition to P_1Q_2, P_2Q_3, and P_3Q_1 being antiparallel to A_1A_2, A_2A_3, A_1A_3, the remaining sides P_1Q_1∥A_2A_3, P_2Q_2∥A_1A_3, and P_3Q_3∥A_1A_2. The cosine hexagon is a special case of a Tucker hexagon.

See also

Cosine Circle, Lemoine Hexagon, Tucker Hexagon

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Cite this as:

Weisstein, Eric W. "Cosine Hexagon." From MathWorld--A Wolfram Web Resource.

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