parallel postulate

axiom in Euclidean geometry
Thing axiom Q207014
parallel postulate
Dickdock · Public Domain · Wikimedia
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parallel postulate

Summary

parallel postulate is an axiom[1]. It ranks in the top 10% of axiom entities by monthly Wikipedia readership (811 views/month).[2]

Key Facts

  • parallel postulate's instance of is recorded as axiom[3].
  • Euclid is named after parallel postulate[4].
  • parallel postulate is part of Euclid's postulates[5].
  • parallel postulate is part of list of theorems[6].
  • parallel postulate is part of list of axioms[7].
  • parallel postulate's Commons category is recorded as Parallel postulate[8].
  • parallel postulate's main subject is parallel line[9].
  • parallel postulate's studied by is recorded as Euclidean geometry[10].
  • parallel postulate's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • parallel postulate's generalization of is recorded as Pythagorean theorem[12].

Body

Definition and Type

parallel postulate's instance of is recorded as axiom[3].

Origins

Euclid is named after parallel postulate[4].

Use and Application

Part of include Euclid's postulates[5], an axiomatic system[13]; list of theorems[6]; and list of axioms[7].

Why It Matters

parallel postulate ranks in the top 10% of axiom entities by monthly Wikipedia readership (811 views/month).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[14] It is known by 67 alternative names across languages and contexts.[15]

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] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Hidden harmonies: the lives and times of the Pythagorean theorem. Retrieved . cut-the-knot.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [13] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). parallel postulate. Retrieved May 3, 2026, from https://4ort.xyz/entity/parallel-postulate
MLA “parallel postulate.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/parallel-postulate.
BibTeX @misc{4ortxyz_parallel-postulate_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{parallel postulate}}, year = {2026}, url = {https://4ort.xyz/entity/parallel-postulate}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): parallel postulate — https://4ort.xyz/entity/parallel-postulate (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/parallel-postulate · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 6d ago · Yirba · 2026-05-14 view diff on Wikidata ↗
    Aliases
    P14434 Q332430
    Maintained by wikiproject WikiProject Mathematics
    Local thumb
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P14434]]: [[Q332430]]"
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