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直角投影定理逆定理的研究与推论
Investigation and Supplement Basedon of Rectangular Projection Theorem Converse Theorem
【摘要】 通过对《画法几何学》中直角投影定理的逆定理的研究,得出:“若垂直相交的两直线在某一投影面上投影成直角,则该两直线至少有一条直线平行于该投影面”的推论。此推论使得直角投影定理自身更趋于完整,同时,对垂直相交两直线的判断和作图也有一定帮助。
【Abstract】 This paper investigates the converse theorem of rectangular projection theorem in descriptive geometry,and furthermore supplements and confirms another converse theorem,"If the projection of two lines intersecting vertically fo’rms a rectangle on a certain projecting plane,at least one line of the two lines is parallel to the projecting plane. " This supplement to the theorem perfects the rectangular protection theorem,and helps judge two lines intersecting vertically and draw graphs.
【关键词】 直角投影定理;
逆定理;
垂直;
平行;
【Key words】 rectangular projection theorem; converse theorem; vertical; parallel;
【Key words】 rectangular projection theorem; converse theorem; vertical; parallel;
- 【文献出处】 河北科技大学学报 ,Journal of Hebei University of Science and Technology , 编辑部邮箱 ,2003年01期
- 【分类号】TH126
- 【被引频次】1
- 【下载频次】42