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Prove both of the following theorems in the context of Incidence Geometry. Your proofs should be...

Prove both of the following theorems in the context of Incidence Geometry. Your proofs should be comparable in terms of rigor and precision (and clarity of thought!) to the ones done in class today.

A1. Given any point, there is at least one line not passing through it,

A2. Given any point, there are at least two lines that do pass through it,

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