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Dragon Hellfire
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DIR Return to: Geometry
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#Post#: 84--------------------------------------------------
Theorems
DIR By: Dragon Hellfire
Date: March 29, 2019, 7:10 pm
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Configurations of Lines
Theorem 1. For all configurations of n points in a plane, either
all n points form a line or there is a line which contains
exactly two of the points.
Theorem 2. For all configurations of n>3 points not all in a
line, the set of lines going through at least two points
contains at least n lines. (Sylvester-Gallai Theorem
HTML https://en.wikipedia.org/wiki/Sylvester%E2%80%93Gallai_theorem)
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