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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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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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.
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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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