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Mathematical Education, 2021, Issue 2(98), Pages 18–27 (Mi mo745)  
Students and teachers of mathematical specialties

On inequalities in a tetrahedron

V. N. Novikov
Full-text PDF (499 kB)
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. To be continued.
Document Type: Article
UDC: 514.113.4
Language: Russian
Citation: V. N. Novikov, “On inequalities in a tetrahedron”, Math. Ed., 2021, no. 2(98), 18–27
Citation in format AMSBIB
\Bibitem{Nov21}
\by V.~N.~Novikov
\paper On inequalities in a tetrahedron
\jour Math. Ed.
\yr 2021
\issue 2(98)
\pages 18--27
\mathnet{http://mi.mathnet.ru/mo745}
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  • https://www.mathnet.ru/eng/mo/y2021/i2/p18
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