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Certain equalities and inequalities concerning polygons in $\mathbb R^2$ (CROSBI ID 138080)

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Radić, Mirko Certain equalities and inequalities concerning polygons in $\mathbb R^2$ // Beiträge zur Algebra und Geometrie, 50 (2009), 1; 235-248

Podaci o odgovornosti

Radić, Mirko

engleski

Certain equalities and inequalities concerning polygons in $\mathbb R^2$

This article can be considered as an appendix to the article [3]. Here we mostly deal with $k$-outscribed polygons where we have the following definition $D_k$ (definition for $k$-outscribed) given in [3]. Let $A_1 \cdots A_n$ be any given polygon in $\mathbb R^2$ and let $k$ be any given integer $k<n$. Then polygon $P_1 \cdots P_n$, if such exists, will be called $k$-outscrobed to $A_1 \cdots A_n$ if \[ P_i + \cdots P_{; ; i+k-1}; ; = kA_i, k=\overline{; ; 1, n}; ; \tag{; ; D_k}; ; \] where, of course, indices are calculated modulo $n$. The aim and purpose of this article is to investigate and find certain equalities and inequalities concerning $k$-outscribed polygons.

determinant of rectangular matrix; polygon; equality; inequality; area of polygon

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Podaci o izdanju

50 (1)

2009.

235-248

objavljeno

0138-4821

2191-0383

Povezanost rada

Matematika

Poveznice
Indeksiranost