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扁回转面截交线的探讨 被引量:2

Study on intersection line of oblate revolution surface
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摘要 在各种书籍中涉及的形体投影,以及目前开发、研制的各种绘图软件中,均缺少扁回转面及其截交线内容,这对于机器零件的表达是一种不足和缺憾。为此,需要解决此类曲面的截交线投影及形体的截断面实形问题。这里给出扁回转面的定义和扁回转面截交线的解析表达式,并通过进一步分析,得到了此类截交线的投影方程和截交线实形方程,给出了实例,为计算机绘制与此相关的截切立体的投影和断面实形提供了有效的、实用的方法。 The projection of form and structure concerned in many books and many sets of drawing software in development at present all lack the content of oblate revolution surface and its intersection line. There is a shortage of the expression of machine accessories. So, it is necessary to solve the problem existing in the projection of intersection line and the actual cross-section form. The definition of oblate revolution surface and the analytic expression of the intersection line of it are given, and then are analyzed deeply. So, the projective equation and the actual form equation of this kind of intersection line are drawn, and the examples are also put forward. This provides an effective and practical way to the computer plotting of the projection of relative slicing solid and the actual cross-section form.
出处 《辽宁工程技术大学学报(自然科学版)》 CAS 北大核心 2004年第3期399-400,共2页 Journal of Liaoning Technical University (Natural Science)
关键词 回转面 扁回转面 截交线 仿射变换 revolution surface oblate revolution surface intersection line affine transformation
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  • 1南开大学数学系.空间解析几何引论[M].北京:人民教育出版社,1978.35-60.

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