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Certain inequalities concerning some kinds of chordal polygons. (English) Zbl 1056.51013
A polygon with vertices \(A_1,\dots,A_n\) is called chordal if there exists a circle \({\mathcal K}\) containing all points \(A_i\), \(i \in \{ 1,\dots,n \}\). Let \(C\) denote the center of \({\mathcal K}\) and \(\beta_j\) the oriented angle between the lines \(C A_j\) and \(A_j A_{j+1}\).
The paper deals with certain goniometric inequalities involving the angles \(\beta_j\).
MSC:
51M04 Elementary problems in Euclidean geometries
Keywords:
chordal polygon
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