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Theorem

Hjelmslev's Theorem

Geometry

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
Existence Theorem 1
Connections

Has Statement Form

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Hjelmslev's theorem (Wikipedia)
Sources
1. Hjelmslev's theorem (Wikipedia)
In Branch: Geometry, Lead sentence
Quote, In Branch: Geometry, Lead sentence
In geometry, Hjelmslev's theorem, named after Johannes Hjelmslev, is the statement that if points P, Q, R...
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