# Hjelmslev's Theorem

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Hjelmslev's Theorem states: If two line segments are related to each other by an isometry, then the midpoints between corresponding points on the two lines either are all different and collinear or all coincide. In this Demonstration, affine transformations are seen to work, too.

Contributed by: Jay Warendorff (March 2011)

Open content licensed under CC BY-NC-SA

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"Hjelmslev's Theorem"

http://demonstrations.wolfram.com/HjelmslevsTheorem/

Wolfram Demonstrations Project

Published: March 7 2011