Year of Award: 1966

Publication Information: Mathematics Magazine, vol. 38, 1965, pp. 253-259

Summary: The author considers generalizations of the Angle-sum Theorem, the Law of Sines, and the Law of Cosines from triangles to tetrahedrons and more general convex polyhedra.

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About the Author: Carl B. Allendoerfer (1911-1974) was at the University of Washington at the time of the award. He was editor of the American Mathematical Monthly (1952-1956) and President of the MAA in 1959-60. After his death the Association established the Carl B. Allendoerfer Award for authors of expository papers appearing in Mathematics Magazine.