On the areas of cyclic and semicyclic polygons

We investigate the “generalized Heron polynomial” that relates the squared area of an n-gon inscribed in a circle to the squares of its side lengths. For a ( 2 m + 1 ) -gon or ( 2 m + 2 ) -gon, we express it as the defining polynomial of a certain variety derived from the variety of binary ( 2 m − 1...

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Veröffentlicht in:	Advances in applied mathematics 2005-05, Vol.34 (4), p.669-689
Hauptverfasser:	Miller Maley, F., Robbins, David P., Roskies, Julie
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Geometry Mathematics Sciences and techniques of general use
Online-Zugang:	Volltext
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