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Real Algebraic Geometry of the Sextic Curves

Sayyary Namin, MahsaUniversität Leipzig

The major part of this thesis revolves around the real algebraic geometry of curves, especially curves of degree six. We use the topological and rigid isotopy classifications of plane sextics to explore the reality of several features associated to each class, such as the bitangents, inflection …

qucosa-diss

Invariants of Linear Differential Equations, With Applications to Ruled Surfaces in Five-Dimensional Space

Stouffer, Ellis BagleyUniversity of Illinois at Urbana-Champaign1911

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Shape design using intrinsic geometry

Tavakkoli, ShahriarVirginia Tech1991

The present work outlines a methodology of shape synthesis using intrinsic geometry concepts for engineering design of two-dimensional and three-dimensional curves as well as three-dimensional surfaces. Using concepts of intrinsic geometry of curves, the shape of a curve can be defined in terms of …

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