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Pasch's axiom

statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them
Thing axiom Q792528
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Pasch's axiom

Summary

Pasch's axiom is an axiom[1]. It draws 45 Wikipedia views per month (axiom category, ranking #10 of 21).[2]

Key Facts

  • Pasch's axiom's instance of is recorded as axiom[3].
  • Moritz Pasch is named after Pasch's axiom[4].
  • Pasch's axiom's Freebase ID is recorded as /m/0f2rsm[5].
  • Pasch's axiom's different from is recorded as Pasch's theorem[6].
  • Pasch's axiom's MathWorld ID is recorded as PaschsAxiom[7].
  • Pasch's axiom's schematic is recorded as Paschaxiom.svg[8].
  • Pasch's axiom's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Pasch's axiom's Microsoft Academic ID is recorded as 133088804[10].

Why It Matters

Pasch's axiom draws 45 Wikipedia views per month (axiom category, ranking #10 of 21).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[11] It is known by 3 alternative names across languages and contexts.[12]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . Freebase Data Dumps. wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . Wikidata sitelinks. wikidata.org.
  3. [12] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Pasch's axiom. Retrieved May 3, 2026, from https://4ort.xyz/entity/pasch-s-axiom
MLA “Pasch's axiom.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pasch-s-axiom.
BibTeX @misc{4ortxyz_pasch-s-axiom_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pasch's axiom}}, year = {2026}, url = {https://4ort.xyz/entity/pasch-s-axiom}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pasch's axiom — https://4ort.xyz/entity/pasch-s-axiom (retrieved 2026-05-03)

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