Abstract
In this chapter we apply the concepts and results of the previous one to the study of prisms and pyramids. In particular, we discuss in some detail the geometry of tetrahedra, which, in Solid Geometry, play a role analogous to that of triangles in Plane Geometry.
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Notes
- 1.
Even though we have not explicitly defined what one means by the congruence of polygons, the idea here is that, for 2 ≤ i ≤ n − 1, triangles A 1 A i A i+1 and \(A_1^{\prime }A_i^{\prime }A_{i+1}^{\prime }\) are congruent.
References
S.L. Greitzer, International Mathematical Olympiads, 1959–1977 (MAA, Washington, 1978)
R. Honsberger, Mathematical Gems II (MAA, Washington, 1976)
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Caminha Muniz Neto, A. (2018). Some Simple Solids. In: An Excursion through Elementary Mathematics, Volume II. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-77974-4_11
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DOI: https://doi.org/10.1007/978-3-319-77974-4_11
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