Relative Positions Between the Hyperplane and the n-Sphere

Relative Positions Between the Hyperplane and the n-Sphere

This paper discusses are some topics Analytic Geometry, studied in basic education in the context of Euclidean space $ n $-dimensional. Presents itself for example, the concepts of hyperplane and $(n-1)$-sphere, which correspond to the high school to the circle and line, respectively. And in the sai...

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Main Author: Joselito de Oliveira
Format: Article
Language:Portuguese
Published: Universidade Federal de Roraima, Centro de Ciência e Tecnologia 2019-07-01
Series:RCT: Revista de Ciência e Tecnologia
Online Access:https://revista.ufrr.br/rct/article/view/5430
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spelling doaj-b52a8938dfbc498898ec97286ed054172020-11-24T22:11:34ZporUniversidade Federal de Roraima, Centro de Ciência e TecnologiaRCT: Revista de Ciência e Tecnologia2447-70282019-07-01582062Relative Positions Between the Hyperplane and the n-SphereJoselito de Oliveira0Universidade Federal de Roraima, BrasilThis paper discusses are some topics Analytic Geometry, studied in basic education in the context of Euclidean space $ n $-dimensional. Presents itself for example, the concepts of hyperplane and $(n-1)$-sphere, which correspond to the high school to the circle and line, respectively. And in the said geometry are studied the relative positions between line and circumference. Similarly, we study the relative positions between the hyperplane and the $(n-1)$-sphere in this space. In this context, it presents a theorem that characterizes the relative positions.https://revista.ufrr.br/rct/article/view/5430
collection DOAJ
language Portuguese
format Article
sources DOAJ
author Joselito de Oliveira
spellingShingle Joselito de Oliveira
Relative Positions Between the Hyperplane and the n-Sphere
RCT: Revista de Ciência e Tecnologia
author_facet Joselito de Oliveira
author_sort Joselito de Oliveira
title Relative Positions Between the Hyperplane and the n-Sphere
title_short Relative Positions Between the Hyperplane and the n-Sphere
title_full Relative Positions Between the Hyperplane and the n-Sphere
title_fullStr Relative Positions Between the Hyperplane and the n-Sphere
title_full_unstemmed Relative Positions Between the Hyperplane and the n-Sphere
title_sort relative positions between the hyperplane and the n-sphere
publisher Universidade Federal de Roraima, Centro de Ciência e Tecnologia
series RCT: Revista de Ciência e Tecnologia
issn 2447-7028
publishDate 2019-07-01
description This paper discusses are some topics Analytic Geometry, studied in basic education in the context of Euclidean space $ n $-dimensional. Presents itself for example, the concepts of hyperplane and $(n-1)$-sphere, which correspond to the high school to the circle and line, respectively. And in the said geometry are studied the relative positions between line and circumference. Similarly, we study the relative positions between the hyperplane and the $(n-1)$-sphere in this space. In this context, it presents a theorem that characterizes the relative positions.
url https://revista.ufrr.br/rct/article/view/5430
work_keys_str_mv AT joselitodeoliveira relativepositionsbetweenthehyperplaneandthensphere
_version_ 1725805091159539712

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