1. Prove. Prop. 2.6: Let L be a line. Thenthere exist two distict lines m and n

Question

1. Prove.   Prop. 2.6: Let L be a line. Thenthere exist two distict lines m and n that intersect it. 2. Prove.   Prop. 2.7: Let P be a point. Then thereexist points Q and R such that P, Q, and R arenoncollinear. 3. Prove or give counter example that all models ofincidence geometry with exactly four points isomorphic. 1. Prove.   Prop. 2.6: Let L be a line. Thenthere exist two distict lines m and n that intersect it. 2. Prove.   Prop. 2.7: Let P be a point. Then thereexist points Q and R such that P, Q, and R arenoncollinear. 3. Prove or give counter example that all models ofincidence geometry with exactly four points isomorphic.

Explanation / Answer

What theorems/axioms/postulates are you allowed to use to prove these?

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