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

Autori
Radić, Mirko

Izvornik
Beiträge zur Algebra und Geometrie (0138-4821) 50 (2009), 1; 235-248

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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