Geodesic
On the quadrangles inscribed in an ellipse
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 2, Tome 246 (1997), pp. 130-140

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Some necessary and sufficient conditions ensuring that a quadrangle similar to a given quadrangle can be inscribed in a given ellipse are found. The class of quadrangles for which this problem is solvable is described. 
@article{ZNSL_1997_246_a6,
     author = {S. E. Kozlov},
     title = {On the quadrangles inscribed in an ellipse},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {130--140},
     publisher = {mathdoc},
     volume = {246},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_246_a6/}
}
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S. E. Kozlov. On the quadrangles inscribed in an ellipse. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 2, Tome 246 (1997), pp. 130-140. http://geodesic.mathdoc.fr/item/ZNSL_1997_246_a6/