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Titlebook: Geometry; Michèle Audin Textbook 2003 Springer-Verlag Berlin Heidelberg 2003 51XX.53XX.Area.Euclidean geometry.conics.differential geometr

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Euclidean Geometry in the Plane,e is also, and we are forced to begin with this, a discussion of what an angle is and how to measure it. The proofs are of course very simple but the statements and their precision are subtle and important.
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Surfaces in 3-dimensional Space,ve a few simple examples of objects which I am sure the reader will agree should be called surfaces: surfaces of revolution, ruled surfaces, . I then come to the definitions and to the affine properties, tangent plane and position with respect to the tangent plane, in particular. The last section is
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https://doi.org/10.1007/978-3-663-04783-4come to the definitions and to the affine properties, tangent plane and position with respect to the tangent plane, in particular. The last section is devoted to the metric properties of surfaces in a Euclidean space, in particular to the Gauss curvature.
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Textbook 2003erfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master‘s level to discover geometry and deepen their knowledge and understanding.
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