Geodesic
On the triangle of the least perimeter circumscribed about a convex $n$-gon
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 76-101

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The structure of an algorithm for finding a circumscribed triangle of the least perimeter is proposed. Properties of such a triangle are described. 
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     author = {V. A. Zalgaller and A. L. Iones},
     title = {On the triangle of the least perimeter circumscribed about a convex $n$-gon},
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     pages = {76--101},
     publisher = {mathdoc},
     volume = {261},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a6/}
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V. A. Zalgaller; A. L. Iones. On the triangle of the least perimeter circumscribed about a convex $n$-gon. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 76-101. http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a6/