General Rational Cyclic Polygons

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A general rational cyclic polygon is a cyclic polygon with a rational distance between any two vertices.

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Let , , be rational numbers with . Suppose three of the vertices have Cartesian coordinates

,

,

.

Suppose is rational and set

,

,

.

If , , then is a rational cyclic polygon.

This Demonstration shows .

Hover over a vertex label to see its coordinates.

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Contributed by: Minh Trinh Xuan (June 13)
Open content licensed under CC BY-NC-SA


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