epicycloid

family of plane curves in mathematics
Thing general Q214556
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epicycloid

Summary

epicycloid ranks in the top 2% of general entities by monthly Wikipedia readership (89 views/month).[1]

Key Facts

  • epicycloid's image is recorded as EpitrochoidOn3-generation.gif[2].
  • epicycloid's subclass of is recorded as transcendental curve[3].
  • epicycloid's subclass of is recorded as epitrochoid[4].
  • epicycloid's subclass of is recorded as cycloidal curve[5].
  • epicycloid's Commons category is recorded as Epicycloid[6].
  • epicycloid's opposite of is recorded as hypocycloid[7].
  • epicycloid's Freebase ID is recorded as /m/03515h[8].
  • epicycloid's described by source is recorded as Otto's encyclopedia[9].
  • epicycloid's described by source is recorded as Encyclopædia Britannica 11th edition[10].
  • epicycloid's described by source is recorded as Armenian Soviet Encyclopedia, vol. 6[11].
  • epicycloid's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[12].
  • epicycloid's defining formula is recorded as \begin{aligned}x(t) &= r(1+k) \cos t- r\cos \left((1+k)t\right) \y(t) &= r(1+k)\sin t- r \sin \left((1+k)t\right)\end{aligned}[13].
  • epicycloid's MathWorld ID is recorded as Epicycloid[14].
  • epicycloid's JSTOR topic ID is recorded as epicycloids[15].
  • epicycloid's Great Norwegian Encyclopedia ID is recorded as episykloide[16].
  • epicycloid's Elhuyar ZTH ID is recorded as 023022[17].
  • epicycloid's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • epicycloid's Microsoft Academic ID is recorded as 65928696[19].
  • epicycloid's Encyclopedia of Mathematics article ID is recorded as Epicycloid[20].
  • epicycloid's WordNet 3.1 Synset ID is recorded as 13932503-n[21].
  • epicycloid's Great Russian Encyclopedia portal ID is recorded as epitsikloida-c68e2c[22].

Why It Matters

epicycloid ranks in the top 2% of general entities by monthly Wikipedia readership (89 views/month).[1] epicycloid has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[23] epicycloid is known by 7 alternative names across languages and contexts.[24]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . Freebase Data Dumps. wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . GF WordNet. wikidata.org.
  21. [22] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [23] . Wikidata sitelinks. wikidata.org.
  3. [24] . 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). epicycloid. Retrieved April 10, 2026, from https://4ort.xyz/entity/epicycloid
MLA “epicycloid.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/epicycloid.
BibTeX @misc{4ortxyz_epicycloid_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{epicycloid}}, year = {2026}, url = {https://4ort.xyz/entity/epicycloid}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): epicycloid — https://4ort.xyz/entity/epicycloid (retrieved 2026-04-10)

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