Sylvester–Gallai theorem

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What Wikipedia says

The Sylvester–Gallai theorem in geometry states that every finite set of points in the Euclidean plane has a line that passes through exactly two of the points or a line that passes through all of them.

Excerpt from the Wikipedia article “Sylvester–Gallai theorem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: David Eppstein, CC0, via Wikimedia Commons.