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Mathematics, 30.05.2020 22:05 meaghan18

In a general Hilbert plane, opposite sides of a parallelogram need not be congruent, as is illustrated by Saccheri and Lambert quadrilaterals in non-semi-Euclidean planes. Prove that in a plane satisfying the Euclidean parallel postulate, opposite sides and opposite angles of a parallelogram are congruent.

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In a general Hilbert plane, opposite sides of a parallelogram need not be congruent, as is illustrat...
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