Geodesic
On inequalities in a tetrahedron
Matematičeskoe obrazovanie, no. 2 (2021), pp. 18-27
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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. To be continued. 
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     author = {V. N. Novikov},
     title = {On inequalities in a tetrahedron},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {18--27},
     year = {2021},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2021_2_a2/}
}
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V. N. Novikov. On inequalities in a tetrahedron. Matematičeskoe obrazovanie, no. 2 (2021), pp. 18-27. http://geodesic.mathdoc.fr/item/MO_2021_2_a2/