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  1. NTU Theses and Dissertations Repository
  2. 理學院
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請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/24908
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dc.contributor.advisor王藹農
dc.contributor.authorYi-Chang Chengen
dc.contributor.author鄭宜昌zh_TW
dc.date.accessioned2021-06-08T05:58:12Z-
dc.date.copyright2011-08-12
dc.date.issued2011
dc.date.submitted2011-08-08
dc.identifier.citationD.Hilbert, S. Cohn-Vossen Geometry and Imagination, Chelsea, New York (1999)
G.Salmon A Treatise On The Analytic Geometry of Three Dimensions, Vol 1 2, revised by Reginald A. P. Rogers, Longmans, Gren and Co., New York (1912)
V. I. Arnold, Mathematical Methods of Classical Mechanics , Springer Verlag (1989)
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/24908-
dc.description.abstractQuadrics play an important role in geometry, and it is natural to discover how to construct an ellipsoid. The problem was solved by Staude, who found a thread construction for an ellipsoid. In the beginning of this paper, I discuss the duality between confocal family of quadrics and euclidean pencil. Second, I introduce Jacobi-Chasles theorem which has close relation with our main topic. Finally, I investigate Staude’s thread construction of ellipsoid.en
dc.description.provenanceMade available in DSpace on 2021-06-08T05:58:12Z (GMT). No. of bitstreams: 1
ntu-100-R96221028-1.pdf: 460408 bytes, checksum: 6cb65cebcd0433933ead9d146415b932 (MD5)
Previous issue date: 2011
en
dc.description.tableofcontents誌謝................................................i
Abstract..........................................ii
Section 1 The duality between euclidean pencil and confocal family...............1
Section 2 Jacobi - ChaslesTheorem................................................................7
Section 3 Ideas of thread construction of ellipsoid........................................10
Reference ....................................................................................................15
Appendix ....................................................................................................16
dc.language.isozh-TW
dc.subject橢球作圖zh_TW
dc.subjectellipsoid constructionen
dc.title空間中以直線繪製橢球方法zh_TW
dc.titleA THREAD CONSTRUCTION FOR AN ELLIPSOIDen
dc.typeThesis
dc.date.schoolyear99-2
dc.description.degree碩士
dc.contributor.oralexamcommittee楊樹文,蔡宜洵
dc.subject.keyword橢球作圖,zh_TW
dc.subject.keywordellipsoid construction,en
dc.relation.page20
dc.rights.note未授權
dc.date.accepted2011-08-08
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
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