On Angles Whose Squared Trigonometric Functions are Rational
Conway, John H. ; Radin, Charles ; Sadun, Lorenzo
arXiv, 9812019 / Harvested from arXiv
Text on arXiv
We consider the rational linear relations between real numbers whose squared trigonometric functions have rational values, angles we call ``geodetic''. We construct a convenient basis for the vector space over Q generated by these angles. Geodetic angles and rational linear combinations of geodetic angles appear naturally in Euclidean geometry; for illustration we apply our results to equidecomposability of polyhedra.
Publié le : 1998-12-18
Classification:  Mathematical Physics,  Mathematics - Metric Geometry,  Mathematics - Number Theory,  52B60 (Primary) 52C20, 05B45, 82B0 (Secondary) 
@article{9812019,
     author = {Conway, John H. and Radin, Charles and Sadun, Lorenzo},
     title = {On Angles Whose Squared Trigonometric Functions are Rational},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812019}
}

Conway, John H.; Radin, Charles; Sadun, Lorenzo. On Angles Whose Squared Trigonometric Functions are Rational. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812019/