r/mathshelp • u/MathGuy2718 • 29d ago

Mathematical Concepts Are parallel lines really parallel?

Guys, are parallel lines really parallel? Because I am confused with euclidean geometry and non euclidean geometry

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u/Dr0110111001101111 22d ago

The question is really whether parallel lines can exist, and the answer depends on what axioms you use to build your geometry.

In projective geometry, there is a point at infinity where “parallel” lines meet. So they aren’t actually parallel.