lemniscate of Bernoulli

plane algebraic curve
Intangible mathematical_concept Q736896
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lemniscate of Bernoulli

Summary

lemniscate of Bernoulli is a mathematical concept[1]. It draws 136 Wikipedia views per month (mathematical_concept category, ranking #143 of 1,007).[2]

Key Facts

  • lemniscate of Bernoulli's instance of is recorded as mathematical concept[3].
  • Jacob Bernoulli is named after lemniscate of Bernoulli[4].
  • lemniscate of Bernoulli's subclass of is recorded as sinusoidal spiral[5].
  • lemniscate of Bernoulli's subclass of is recorded as hippopede[6].
  • lemniscate of Bernoulli's subclass of is recorded as lemniscate[7].
  • lemniscate of Bernoulli's subclass of is recorded as Cassini oval[8].
  • lemniscate of Bernoulli's subclass of is recorded as polynomial lemniscate[9].
  • lemniscate of Bernoulli's Commons category is recorded as Lemniscate of Bernoulli[10].
  • lemniscate of Bernoulli's BNCF Thesaurus ID is recorded as 36777[11].
  • lemniscate of Bernoulli's Freebase ID is recorded as /m/01l74h[12].
  • lemniscate of Bernoulli's Encyclopædia Britannica Online ID is recorded as topic/lemniscate-of-Bernoulli[13].
  • lemniscate of Bernoulli's defining formula is recorded as \rho^2=2c^2\cos 2\varphi[14].
  • lemniscate of Bernoulli's defining formula is recorded as (x^2+y^2)^2=2c^2(x^2-y^2)[15].
  • lemniscate of Bernoulli's MathWorld ID is recorded as Lemniscate[16].
  • lemniscate of Bernoulli's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • lemniscate of Bernoulli's Microsoft Academic ID is recorded as 32581785[18].
  • lemniscate of Bernoulli's Online PWN Encyclopedia ID is recorded as 3876463[19].
  • lemniscate of Bernoulli's Treccani's Enciclopedia della Matematica ID is recorded as lemniscata-di-bernoulli[20].

Body

Works and Contributions

Things named for lemniscate of Bernoulli include lemniscatic elliptic function[21], an elliptic function[22].

Why It Matters

lemniscate of Bernoulli draws 136 Wikipedia views per month (mathematical_concept category, ranking #143 of 1,007).[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[23] It is known by 12 alternative names across languages and contexts.[24]

Entities named for it include lemniscatic elliptic function[21], an elliptic function[22].

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] . Nuovo soggettario. wikidata.org.
  10. [12] . Freebase Data Dumps. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [21] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [22] . 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. [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). lemniscate of Bernoulli. Retrieved May 3, 2026, from https://4ort.xyz/entity/lemniscate-of-bernoulli
MLA “lemniscate of Bernoulli.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/lemniscate-of-bernoulli.
BibTeX @misc{4ortxyz_lemniscate-of-bernoulli_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{lemniscate of Bernoulli}}, year = {2026}, url = {https://4ort.xyz/entity/lemniscate-of-bernoulli}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): lemniscate of Bernoulli — https://4ort.xyz/entity/lemniscate-of-bernoulli (retrieved 2026-05-03)

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