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Triangles and trilinear coordinates

 

作者: H.Brian Griffiths,   Adrian Oldknow,  

 

期刊: International Journal of Mathematical Education in Science and Technology  (Taylor Available online 1998)
卷期: Volume 29, issue 4  

页码: 501-509

 

ISSN:0020-739X

 

年代: 1998

 

DOI:10.1080/0020739980290404

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

This paper describes a visual method for checking homogeneous polynomial inequalities of the typef(a,b, c) >0 whena, b, care the side lengths of a triangleABC.The similarity class ofABCcan be represented by a unique point in a planePof trilinear coordinates and such points fill out a certain triangular diskDinP.Then the functionfdetermines a curve in P. To decide whether the required inequality holds it suffices to check that does not enter the interior ofD.

 

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