Items related to L'Enseignement Mathématique: Méthodologie Et Organisatio...

L'Enseignement Mathématique: Méthodologie Et Organisation de l'Enseignement, Philosophie Et Histoire des Mathématiques, Chronique Scientifique-Mélanges-Bibliographie (Classic Reprint) - Softcover

C.-A. Laisant

 
9780243354894: L'Enseignement Mathématique: Méthodologie Et Organisation de l'Enseignement, Philosophie Et Histoire des Mathématiques, Chronique Scientifique-Mélanges-Bibliographie (Classic Reprint)

Synopsis

This book presents a comprehensive analysis of a double system of lines on a surface, a topic that has been the subject of extensive study in differential geometry. The author provides a detailed exploration of the mathematical properties of these lines, which possess the remarkable characteristic of having a normal curvature equal to the square root of the surface's total curvature at each point. This property restricts their existence to regions with elliptical points where the total curvature is positive. The author delves into the differential equation that defines these lines and derives various relationships between their angles and the angles of the surface's curvature lines. Through an examination of the lines' characteristics and their connections to the surface's geometry, the book offers valuable insights into the intricate nature of surfaces and their curvature properties.

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