THE ELLIPSE AND HYPERBOLA ON A SPHERE

THE ELLIPSE AND HYPERBOLA ON A SPHERE

碩士 === 國立高雄師範大學 === 數學系 === 105 === We consider ellipse and hyperbola on a sphere like the definition on plane, and try to sign out these equation and drawing these by the methods of intersection points. Here we could conclude out a counterintuitive phenomenon that the great circle on sphere be one...

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Main Authors: Chen Meng-Chun, 陳孟群
Other Authors: Lin Ying-Jen
Format: Others
Language:en_US
Published: 2017
Online Access:http://ndltd.ncl.edu.tw/handle/j4jk9e
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spelling ndltd-TW-105NKNU04790312019-05-15T23:32:18Z http://ndltd.ncl.edu.tw/handle/j4jk9e THE ELLIPSE AND HYPERBOLA ON A SPHERE 球面上的橢圓線及雙曲線 Chen Meng-Chun 陳孟群 碩士 國立高雄師範大學 數學系 105 We consider ellipse and hyperbola on a sphere like the definition on plane, and try to sign out these equation and drawing these by the methods of intersection points. Here we could conclude out a counterintuitive phenomenon that the great circle on sphere be one kind of ellipse we defined and a hyperbola be no different from a ellipse on a sphere. And we will see it from differentiable geometry view to check whether it is a manifold of dimension one. Lin Ying-Jen 林盈甄 2017 學位論文 ; thesis 27 en_US
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language en_US
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description 碩士 === 國立高雄師範大學 === 數學系 === 105 === We consider ellipse and hyperbola on a sphere like the definition on plane, and try to sign out these equation and drawing these by the methods of intersection points. Here we could conclude out a counterintuitive phenomenon that the great circle on sphere be one kind of ellipse we defined and a hyperbola be no different from a ellipse on a sphere. And we will see it from differentiable geometry view to check whether it is a manifold of dimension one.
author2 Lin Ying-Jen
author_facet Lin Ying-Jen
Chen Meng-Chun
陳孟群
author Chen Meng-Chun
陳孟群
spellingShingle Chen Meng-Chun
陳孟群
THE ELLIPSE AND HYPERBOLA ON A SPHERE
author_sort Chen Meng-Chun
title THE ELLIPSE AND HYPERBOLA ON A SPHERE
title_short THE ELLIPSE AND HYPERBOLA ON A SPHERE
title_full THE ELLIPSE AND HYPERBOLA ON A SPHERE
title_fullStr THE ELLIPSE AND HYPERBOLA ON A SPHERE
title_full_unstemmed THE ELLIPSE AND HYPERBOLA ON A SPHERE
title_sort ellipse and hyperbola on a sphere
publishDate 2017
url http://ndltd.ncl.edu.tw/handle/j4jk9e
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