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Synopsis
Excerpt from Recherches sur les Surfaces Harmoniques
Plus récemment encore, M. Barboux, dans son ouvrage déjà cité (livre IV, Chap. IX), a fait connaître un élément linéaire réductible d'une infinité de manières à la forme harmonique; et il a signalé comme devant faire le sujet d'une recherche difficile la détermination générale de tous les éléments linéaires jouissant de la même propriété. En outre, il a indiqué (livre VI, Chap. 11) un moyen de trouver ceux de ces éléments linéaires qui convieu nent à des surfaces de révolution.
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Recherches sur les Surfaces Harmoniques (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book provides a thorough examination of harmonic surfaces, a class of surfaces characterized by the ability to conform to a form of the equation ds = (u dv)(du + v ). The author begins by detailing the fundamental theorem of harmonic surfaces, which serves as the basis for determining whether a given surface is harmonic. The book then proceeds to explore various types of harmonic surfaces, including ruled surfaces, surfaces with parallel lines of curvature, and surfaces with circles of geodesic curvature. The author's approach is distinguished by the use of a novel method involving integral calculus, which enables the identification of harmonic surfaces and the determination of their properties. Through a combination of theoretical analysis and worked examples, the book offers valuable insights into the behavior and applications of harmonic surfaces, contributing to a deeper understanding of differential geometry. 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 # 9780666242570_0
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Recherches Sur Les Surfaces Harmoniques (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780666242570
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Recherches Sur Les Surfaces Harmoniques (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780666242570
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