Does any convex quadrilateral have circumscribed ellipses?

DOI10.1515/MATH-2017-0117zbMath1383.52001OpenAlexW2781476369WikidataQ59335207 ScholiaQ59335207MaRDI QIDQ1698466

Zhuo Qun Wang, Yi Xi Shen, Jiahui Li, Zhong Yuan Dai

Publication date: 15 February 2018

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0117

zbMATH Keywords

conic sectionconvex quadrilateralanalytical geometrycircumscribed ellipseparallel projective transformation

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Elementary problems in Euclidean geometries (51M04) Euclidean geometries (general) and generalizations (51M05) Euclidean analytic geometry (51N20) Projective analytic geometry (51N15) Elementary problems in hyperbolic and elliptic geometries (51M09)

Cites Work

• Unnamed Item
• Circumscribed polygons of small area
• Cutting circles and polygons from area-minimizing rectangles
• Two new sets of ellipse-related concyclic points
• Sets in the plane with many concyclic subsets
• Ellipses of minimal area and of minimal eccentricity circumscribed about a convex quadrilateral
• Two Applications of the Generalized Ptolemy Theorem

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