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https://doi.org/10.1007/PL00009463

On Angles Whose Squared Trigonometric Functions Are Rational - Discrete & Computational Geometry

We consider the rational linear relations between real numbers whose squared trigonometric functions have rational values, angles we call ``geodetic.'&



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On Angles Whose Squared Trigonometric Functions Are Rational - Discrete & Computational Geometry

https://doi.org/10.1007/PL00009463

We consider the rational linear relations between real numbers whose squared trigonometric functions have rational values, angles we call ``geodetic.'&



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https://doi.org/10.1007/PL00009463

On Angles Whose Squared Trigonometric Functions Are Rational - Discrete & Computational Geometry

We consider the rational linear relations between real numbers whose squared trigonometric functions have rational values, angles we call ``geodetic.'&

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      On Angles Whose Squared Trigonometric Functions Are Rational - Discrete & Computational Geometry
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      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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