Concyclic

/kɑːnˈsɪklɪk/ adjective

Definition

In geometry, describing points or figures that lie on the same circle.

Etymology

From con- (Latin 'together') + cyclic (from Greek kyklos 'circle'). This is a mathematical term formed by combining a prefix meaning 'with' or 'together' with the geometric concept of a circle.

Kelly Says

Concyclic points are surprisingly important in geometry problems and appear constantly in math competitions—four points are concyclic if and only if opposite angles in the resulting quadrilateral sum to 180 degrees, which is a beautiful hidden property.

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