## New answers tagged incidence-geometry

2
votes

### Why do all incidence theorems follow from Pappus' theorem?

There's a recent talk by Sergey Fomin about this topic exactly - https://www.youtube.com/watch?v=kU5PazTfImo
Abstract: We show that various classical theorems of real/complex linear incidence geometry,...

4
votes

Accepted

### Is the group of translations of an affine plane always commutative?

Let $G$ be an arbitrary countably-infinite group. I claim that there is an affine plane $X$ such that $\operatorname{Trans}(X)$ contains a subgroup isomorphic to $G$.
By a back-and-forth argument one ...

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