caa a22 4500 605523010 CHVBK 20210128100747.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2600-5 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2600-5 Khimshiashvili G. Ilia State University, Tbilisi, Georgia aut Moduli Spaces of Bicentric Quadrilaterals [Elektronische Daten] [G. Khimshiashvili] We deal with planar moduli spaces of polygonal linkages arising from a poristic family of bicentric polygons. For bicentric quadrilaterals, we describe the topological types of moduli spaces in poristic families and find the absolute maximum and minimum of oriented area in the union of moduli spaces. Similar results are obtained for poristic quadrilaterals associated with a pair of confocal ellipses. In conclusion we outline some research perspectives suggested by our results. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/1(2015-11-01), 31-39 1072-3374 211:1<31 2015 211 10958 https://doi.org/10.1007/s10958-015-2600-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2600-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Khimshiashvili G. Ilia State University, Tbilisi, Georgia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/1(2015-11-01), 31-39 1072-3374 211:1<31 2015 211 10958