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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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. 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. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780243354894_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243354894
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243354894
Quantity: 15 available
Seller: Buchpark, Trebbin, Germany
Condition: Hervorragend. Zustand: Hervorragend | Seiten: 510 | Sprache: Französisch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 28497996/1
Quantity: 1 available