Results 11 to 20 of about 34,040 (161)
A cubic surface of revolution [PDF]
The Mathematical Gazette, 2014 We develop a direct and elementary (calculus-free) exposition of the famous cubic surface of revolution x^3+y^3+z^3-3xyz=1.12 pages. We have added a second elementary proof that the surface is of revolution.
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Projective Reconstruction of Surfaces of Revolution [PDF]
, 2003 This paper addresses the problem of recovering the generating curve of a surface of revolution from a single uncalibrated perspective view, based solely on the object’s outline and two (partly) visible cross-sections. Without calibration of the camera’s internal parameters such recovery is only possible up to a particular transformation of the true ...
Utcke, S, Zisserman, A
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Determination of intersecting curve between two surfaces of revolution with parallel axes by use of auxiliary planes and auxiliary spheres [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2002 In this paper the space intersecting curve between two surfaces of revolution with parallel axes of surfaces have been determined. Two mathematical models for determination of intersecting curve between two surfaces of revolution have been formed ...
Obradović Ratko
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The plane section of the surface of revolution [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2005 In this paper a procedure for determining a plane section of the surface of revolution was described. The surface of revolution is given by an axis of the revolution and a meridian which is coplanar with the axis.
Obradović Ratko M.
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Geodesics on surfaces of revolution [PDF]
Transactions of the American Mathematical Society, 1946 Introduction. We are concerned in this paper with the behavior in the large of the geodesic lines on a class of surfaces of revolution. The central theme is the number and the distribution of the double points of these geodesics, and one of the main theorems establishes a "zoning" of the surfaces in a manner dictated by this distribution.
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THE HYPERBOLOID OF REVOLUTION OF ONE NAPPE A RULED SURFACE GENERATING CONICS
Journal of Industrial Design and Engineering Graphics, 2013 The paper intends to underline the property of the hyperboloid of revolution of one nappe to generate on its surface, when it is cut by a plane, the three known conics (ellipse, hyperbola and parabola).Cutting this surface by a plane, we find the ...
Gabriel Oprea, Ana Maria Mihaela Rugescu
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Surfaces of Revolution and Canal Surfaces with Generalized Cheng–Yau 1-Type Gauss Maps
Mathematics, 2020 In the present work, the notion of generalized Cheng–Yau 1-type Gauss map is proposed, which is similar to the idea of generalized 1-type Gauss maps. Based on this concept, the surfaces of revolution and the canal surfaces in the Euclidean three-space ...
Jinhua Qian +3 more
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Isoperimetry in Surfaces of Revolution with Density [PDF]
Missouri Journal of Mathematical Sciences, 2018 The isoperimetric problem with a density or weighting seeks to enclose prescribed weighted volume with minimum weighted perimeter. According to Chambers' recent proof of the log-convex density conjecture, for many densities on $\mathbb{R}^n$ the answer is a sphere about the origin. We seek to generalize his results to some other spaces of revolution or
Bongiovanni, Eliot +3 more
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Nihon Kikai Gakkai ronbunshu, 2014 This paper proposes a practical approach to evaluating form deviation of surface of revolution based on the coordinate measurement data of discrete points.
Hua QIU
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Space–time slices and surfaces of revolution [PDF]
Journal of Mathematical Physics, 2004 Under certain conditions, a (1+1)-dimensional slice ĝ of a spherically symmetric black hole space–time can be equivariantly embedded in (2+1)-dimensional Minkowski space. The embedding depends on a real parameter that corresponds physically to the surface gravity κ of the black hole horizon.
Giblin, John T. jun., Hwang, Andrew D.
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