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Properties and applications of low degree surfaces
Mirová, Aneta ; Šír, Zbyněk (advisor) ; Boček, Leo (referee)
My thesis "Properties and applications of low degree surfaces" deals mainly with properties of two quadrics. We introduce so called canonical forms of two quadrics and classification of intersection curve of two quadrics. There are used index and signature sequence to obtain classification of intersection curve of two quadrics. These sequence can determine the number of component of the intersection curve, their algebraic degrees and singularities. Our work also contains many examples with pictures. One part of the thesis also presents possible application of intersection curve of two quadrics in practice. This thesis also contains an enclosed CD, with the thesis in an electronic form and the source files of all pictures in the thesis.
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Properties and applications of low degree surfaces
Mirová, Aneta ; Šír, Zbyněk (advisor) ; Boček, Leo (referee)
My thesis "Properties and applications of low degree surfaces" deals mainly with properties of two quadrics. We introduce so called canonical forms of two quadrics and classification of intersection curve of two quadrics. There are used index and signature sequence to obtain classification of intersection curve of two quadrics. These sequence can determine the number of component of the intersection curve, their algebraic degrees and singularities. Our work also contains many examples with pictures. One part of the thesis also presents possible application of intersection curve of two quadrics in practice. This thesis also contains an enclosed CD, with the thesis in an electronic form and the source files of all pictures in the thesis.
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Collection of examples on quadratic surfaces
HRONOVÁ, Žaneta
Bachelor thesis deals with practical examples on quadratic surfaces. It is divided into an Introduction and 11 chapters. Each chapter includes basic concepts of the issue, followed by several solved examples and at the end of chapter unsolved examples are listed, including results. The thesis can help to manage the course Geometry I., in which conics and quadrics are discussed. Aim of this thesis is to collect examples for each topic of the theory of quadratic surfaces, subsequently typical examples resolve and in this way give the instructions for solving other examples, which are listed only with results, to practice.
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