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A Geometric Theory of Conjugate Tooth Surfaces
Ta-jen WuDaren WuJia-shun Luo
出版World Scientific, 1992
主題Mathematics / Algebra / GeneralTechnology & Engineering / MechanicalTechnology & Engineering / Machinery
ISBN98102078409789810207847
URLhttp://books.google.com.hk/books?id=5bjfue6ZN3IC&hl=&source=gbs_api
EBookSAMPLE
註釋This English translation, with revisions, of the well-known Chinese edition presents systematically the geometric theory of conjugate tooth surfaces in a more or less rigorous form. The concepts of the two kinds of limit points and limit curves are explained in some detail and a general formula for induced normal curvature is derived, of which the formula of Euler-Savary appears as a direct consequence. The idea of relative differentiation, initiated by Zhida Yan, simplifies the presentation considerably. The phenomenon of secondary contact, closely related to the limit curve of the second kind, is treated in full and its applications to direct and indirect generation are explained; concrete formulas for secondary plane envelope are derived.