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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