Journal of Graphic Science of Japan
Online ISSN : 1884-6106
Print ISSN : 0387-5512
ISSN-L : 0387-5512
Ebisui's theorem and a (154, 203) configuration
Hiroshi Okumura
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1998 Volume 32 Issue 4 Pages 25-28

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Abstract
A simple geometric proof of Ebisui's theorem, if two triangles A1A2A3 and B1B2B3 are perspective and C3 = A1B2A2B1, C1=A2B3A3B2, C2=A3B1A1B3 then A1A2 A3 and C1C2C3 are also perspective, is given, which is using Desargues's theorem and its converse. With the theorem and an additional theorem, a (154, 203) configuration can be constructed, which is transitive both on points and lines.
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