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Playfair's axiom

statement equivalent to Euclid's parallel postulate, that given a line and a point not on it, there is at most one line parallel to the given line through the point
Thing axiom Q3915714
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Playfair's axiom

Summary

Playfair's axiom is an axiom[1]. It draws 59 Wikipedia views per month (axiom category, ranking #8 of 21).[2]

Key Facts

  • Playfair's axiom's instance of is recorded as axiom[3].
  • John Playfair is named after Playfair's axiom[4].
  • Playfair's axiom's Freebase ID is recorded as /m/0ds5q87[5].
  • Playfair's axiom's Google Knowledge Graph ID is recorded as /g/122m415c[6].
  • Playfair's axiom's Google Knowledge Graph ID is recorded as /g/11g8ck8cjk[7].
  • Playfair's axiom's MathWorld ID is recorded as PlayfairsAxiom[8].
  • Playfair's axiom's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Playfair's axiom's Microsoft Academic ID is recorded as 58180613[10].
  • Playfair's axiom's ProofWiki ID is recorded as Axiom:Playfair's_Axiom[11].

Why It Matters

Playfair's axiom draws 59 Wikipedia views per month (axiom category, ranking #8 of 21).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[12]

Related Entities

John Playfair

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.
  9. [11] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. 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). Playfair's axiom. Retrieved May 3, 2026, from https://4ort.xyz/entity/playfair-s-axiom
MLA “Playfair's axiom.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/playfair-s-axiom.
BibTeX @misc{4ortxyz_playfair-s-axiom_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Playfair's axiom}}, year = {2026}, url = {https://4ort.xyz/entity/playfair-s-axiom}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Playfair's axiom — https://4ort.xyz/entity/playfair-s-axiom (retrieved 2026-05-03)

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