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《Journal of Anhui Normal University(Natural Science)》 1989-04
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A Method of Establishing Duality Principle for Euclidean Plane

Zhou Jian (Department of Mathematics)  
It is well known that the duality principle on projective Geometry does not hold in Euclidean Geometry. In this paper, firstly, we will Establish the dual Correspondence between the point which is not origin and the line which do not pass through origin by: X_0X+y_0y-1=0(?)(x_0,y_0). Secondly, we give duality principle on Euclidean plan: A metrical theorem remains valid if we interchange the Concepts of point and line which are dual mutually. Finally, we give several interest examples.
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【References】
Chinese Journal Full-text Database 2 Hits
1 Song Weidong (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC);A METHOD OF ESTABLISHING DUALITY PRINCIPLE FOR E 3[J];Journal of Anhui Normal University(Natural Science);1997-03
2 LIANG Yi-kong(College of Fundamental Studies,Shanghai University of Engineering Science,Shanghai 201620,China);Method of Establishing Duality Principle for Euclidean Plane[J];Journal of Shanghai University of Engineering Science;2006-03
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 Song Weidong (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC);A METHOD OF ESTABLISHING DUALITY PRINCIPLE FOR E 3[J];Journal of Anhui Normal University(Natural Science);1997-03
2 ZENG Cai-yun (Shaanxi Institute of Education,Xi'an 710061,China);The Structure and Entire Character of Projective Plane[J];Journal of Shaanxi Institute of Education;2002-04
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 LIANG Yi-kong(College of Fundamental Studies,Shanghai University of Engineering Science,Shanghai 201620,China);Method of Establishing Duality Principle for Euclidean Plane[J];Journal of Shanghai University of Engineering Science;2006-03
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