𝔖 Bobbio Scriptorium
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On the principal centers of a triangle

✍ Scribed by Michael S. Longuet-Higgins


Book ID
113011193
Publisher
Birkhäuser-Verlag
Year
2001
Weight
88 KB
Volume
56
Category
Article
ISSN
0013-6018

No coin nor oath required. For personal study only.


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Let the points PI, P2 .... , P~ be given in the plane such that there are no three on a line. Then there exists a point of the plane which is contained in at least n3/27 (open) P~P~Pk triangles. This bound is the best possible.