 98255 John H. Conway, Charles Radin, Lorenzo Sadun
 ON ANGLES WHOSE SQUARED TRIGONOMETRIC FUNCTIONS ARE RATIONAL
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Apr 3, 98

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Abstract. We consider the rational linear relations between real numbers whose
squared trigonometric values are rational, 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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