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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

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【作者】 董金华程军闫利文

【Author】 DONG Jin-hua,CHENG Jun,YAN Li-wen(1. College of Mechenical and Electronic Engineering Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;2. Shanghai Labur College for Trabe Union Cabres,Shanghai 200054,China;3. Department of Mechenical and Electronic,Changshu Polytechnic College,Changshu Jiangsu 215500,China)

【机构】 河北科技大学机械电子工程学院上海工会管理干部学院常熟高等专科学校机电系 河北石家庄 050054上海 200054江苏常熟 215500

【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.

  • 【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
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