Abstract
The formation of the identical slope surface and the method of construction are discussed. On the basement of building the parameter equation of variable-radius circle family envelope, the frequently used parameter equation of the identical slope surface of the top of taper moving along column helix, horizental arc and line is built. The equation can be used to construct the identical slope surface’s contours, gradient lines and three dimensional figures correctly.
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References
Zhu Yu-wan.Descriptive Geometry. Beijing: Higher Education Press, 1997. 199–213.
Hu Jian-guo. Application Research on Envelope Curved Surface of Family of Variable-Radius Spherical Surfaces.Journal of Wuhan University of Hydraulic and Electric Engineering, 1997,6:91–94.
Ai Yun-jun.Analysis Introduction of Engineering Cartography. Beijing: China Railway Publish House, 1987.
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Biography: Hu Jian-guo(1953-), male, Professor, research direction: CG and CAD.
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Jian-guo, H., yue-ping, C. Mathematical model of the identical slope surface. Wuhan Univ. J. Nat. Sci. 7, 54–58 (2002). https://doi.org/10.1007/BF02830014
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DOI: https://doi.org/10.1007/BF02830014