On Angles Whose Squared Trigonometric Functions Are Rational

نویسندگان

  • John H. Conway
  • Charles Radin
  • Lorenzo Sadun
چکیده

W e 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 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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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 22  شماره 

صفحات  -

تاریخ انتشار 1999