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Journal for Geometry and Graphics 22 (2018), No. 1, 021--029
Copyright Heldermann Verlag 2018

Concurrency in Hexagons -- A Trigonometric Tale

Nicolae Anghel
Dept. of Mathematics, University of North Texas, Denton, TX 76203, U.S.A.

It is shown that the concurrency of the main diagonals in a hexagon is equivalent to a nine-angle sine trigonometric identity. Applications and generalizations to hexagonal paths are also discussed.

Keywords: Hexagon, main diagonals, concurrency, collinearity, cross ratio, sine-theorems.

MSC: 51M04; 97G60, 51A20

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