13815

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

On Algebraic Dependencies in Polygons and Polyhedra

ISBN/ISSN: 

1995-0802

Наименование источника: 

  • Lobachevskii Journal of Mathematics

Обозначение и номер тома: 

Vol. 32, no. 2

Город: 

  • Москва

Издательство: 

  • Pleiades Publishing, Ltd

Год издания: 

2011

Страницы: 

146-148
Аннотация
It was proved by Idjad Sabitov (see [1]), that area of an arbitrary polygon inscribed in a circle algebraically depends on lengths of polygon’s sides. In this paper we prove the similar results for Euclidian and Lobachevskii geometries and polygons inscribed in algebraic curve as well as for arbitrary plane polygons.We also give another proof of Sabitov Theorem from [2].

Библиографическая ссылка: 

Бибиков П.В. On Algebraic Dependencies in Polygons and Polyhedra // Lobachevskii Journal of Mathematics. 2011. Vol. 32, no. 2. С. 146-148.