Abstract.
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.
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Received April 7, 1998, and in revised form September 2, 1998.
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Conway, J., Radin, C. & Sadun, L. On Angles Whose Squared Trigonometric Functions Are Rational . Discrete Comput Geom 22, 321–332 (1999). https://doi.org/10.1007/PL00009463
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DOI: https://doi.org/10.1007/PL00009463