Neutral Geometry? Parallelograms?

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Neutral Geometry? Parallelograms?

Do parallelograms exist in neutral geometry?
Proof?

I know they do... not sure how to prove it.

2007-12-14 04:12:07 · 1 answers · asked by ClooneyIsAGenius 2 in Science & Mathematics ➔ Mathematics

1 answers

No. Neutral geometry does not accept the parallel axiom/postulate. In certain non-Euclidean Geometrys all lies are parallel and in others no lines are parallel. Thus parallelograms could not exist in neutral geometry.

2007-12-14 04:21:49 · answer #1 · answered by ironduke8159 7 · 0⤊ 1⤋