Hjelmslev's theorem is a result in geometry stating that if a set of points on one line is mapped isometrically to a set of points on another line in the same plane, then the midpoints of the segments joining each original point to its image also lie on a single line. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Classification
Statement Form Connections
Has Statement Form
In Branch
Source Hjelmslev's theorem (Wikipedia)
Sources
1. Hjelmslev's theorem (Wikipedia)
Lead section
In geometry, Hjelmslev's theorem, named after Johannes Hjelmslev, is the statement that if points P, Q, R... on a line are isometrically mapped to points P´, Q´, R´... of another line in the same plane, then the midpoints of the segments PP´, QQ´, RR´... also lie on a line.
In Branch: Geometry, Lead sentence
In geometry, Hjelmslev's theorem, named after Johannes Hjelmslev, is the statement that if points P, Q, R...
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.