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JOURNALS // Mathematical Education // Archive

Math. Ed., 2021 Issue 3(99), Pages 58–69 (Mi mo758)

Students and teachers of mathematical specialties

On inequalities in a tetrahedron, finished

V. N. Novikov


Abstract: The exact boundaries of variation of the surface area, volume, and other quantities of tetrahedrons are found for a given ratio of the radii of the inscribed and circumscribed spheres. The relationship between the method of conditional extremum and envelopes is considered on rather bright and meaningful examples. Finished.

UDC: 514.113.4



© Steklov Math. Inst. of RAS, 2024