Concurrency in Hexagons -- A Trigonometric Tale
Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 21-29
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
51M04, 97G60, 51A20
Mots-clés : Hexagon, main diagonals, concurrency, collinearity, cross ratio, sine-theorems
Mots-clés : Hexagon, main diagonals, concurrency, collinearity, cross ratio, sine-theorems
@article{JGG_2018_22_1_JGG_2018_22_1_a2,
author = {N. Anghel },
title = {Concurrency in {Hexagons} -- {A} {Trigonometric} {Tale}},
journal = {Journal for geometry and graphics},
pages = {21--29},
year = {2018},
volume = {22},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2018_22_1_JGG_2018_22_1_a2/}
}
N. Anghel . Concurrency in Hexagons -- A Trigonometric Tale. Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 21-29. http://geodesic.mathdoc.fr/item/JGG_2018_22_1_JGG_2018_22_1_a2/