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圆环面正轴测投影的数学模型

MATHEMATICAL PATTERN FOR DRAWING THE ORTHOGRAPHIC AXONOMETRIC PROJECTION OF A TORUS

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【作者】 冯敬华程军

【Author】 Feng Jinghua;ChengJun(North China Institute of Techl1ology)

【机构】 华北工学院

【摘要】 本文运用图解法,在对圆环面正轴测投影外形线的曲线性质进行投影分析的基础上,导出了圆环面正轴测投影外形线的参数方程;给出了产生尖点的几何条件和判别式;解决了尖点和虚实分界点的定位问题,为圆环面正轴测投影的计算机绘图提供了可靠的教学依据。

【Abstract】 The authors have derived a parametric equation of the contour curve by the graphic method and through the analysis of its nature on the orthographic axonometric projection of a torus.In this paper a geometrical condition leading to the tip point and a discriminant is giv qn,and tlie orientation of the tip point and dashed and real points of division is suplied.In addition,it is mathematically proved that there exists a practical possibility of drawing the orthographic axonometric projection of a torus with a computer.

  • 【文献出处】 工程图学学报 ,JOURNAL OF ENGINEERING GRAPHICS , 编辑部邮箱 ,1994年02期
  • 【分类号】TH126
  • 【下载频次】26
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