Euler spiral

plane curve given by Fresnel integrals such that the curvature increases linearly with curve length
Thing general Q755003
Press Enter · cited answer in seconds

Euler spiral

Summary

Euler spiral ranks in the top 2% of general entities by monthly Wikipedia readership (72 views/month).[1]

Key Facts

  • Euler spiral's video is recorded as CornuSpiralAnimation.gif[2].
  • Euler spiral's image is recorded as Euler spiral.svg[3].
  • Leonhard Euler is named after Euler spiral[4].
  • Marie Alfred Cornu is named after Euler spiral[5].
  • Euler spiral's subclass of is recorded as plane curve[6].
  • Euler spiral's subclass of is recorded as transcendental curve[7].
  • Euler spiral's subclass of is recorded as Q1729689[8].
  • Euler spiral's has use is recorded as transition curve[9].
  • Euler spiral's Commons category is recorded as Euler spirals[10].
  • Euler spiral's Freebase ID is recorded as /m/05fc9sj[11].
  • Euler spiral's Gran Enciclopèdia Catalana ID is recorded as 0267861[12].
  • Euler spiral's defining formula is recorded as (x(t),y(t))=\left(\int_0^t\cos(s^2)\,\mathrm ds,\int_0^t\sin(s^2)\,\mathrm ds\right)[13].
  • Euler spiral's MathWorld ID is recorded as CornuSpiral[14].
  • Euler spiral's Zhihu topic ID is recorded as 19926762[15].
  • Euler spiral's Great Norwegian Encyclopedia ID is recorded as klotoide[16].
  • Euler spiral's schematic is recorded as Klotoid-normal.gif[17].
  • Euler spiral's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • Euler spiral's Microsoft Academic ID is recorded as 129258928[19].
  • Euler spiral's in defining formula is recorded as (x(t),y(t))[20].
  • Euler spiral's in defining formula is recorded as t[21].
  • Euler spiral's in defining formula is recorded as \int_0^t\cos(s^2)\,\mathrm ds[22].
  • Euler spiral's in defining formula is recorded as \int_0^t\sin(s^2)\,\mathrm ds[23].
  • Euler spiral's Encyclopedia of Mathematics article ID is recorded as Cornu_spiral[24].
  • Euler spiral's Gran Enciclopèdia Catalana ID is recorded as clotoide[25].
  • Euler spiral's museum-digital tag ID is recorded as 40300[26].

Why It Matters

Euler spiral ranks in the top 2% of general entities by monthly Wikipedia readership (72 views/month).[1] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.[27] It is known by 34 alternative names across languages and contexts.[28]

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] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . Freebase Data Dumps. 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] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). Euler spiral. Retrieved April 10, 2026, from https://4ort.xyz/entity/euler-spiral
MLA “Euler spiral.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/euler-spiral.
BibTeX @misc{4ortxyz_euler-spiral_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euler spiral}}, year = {2026}, url = {https://4ort.xyz/entity/euler-spiral}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euler spiral — https://4ort.xyz/entity/euler-spiral (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/euler-spiral · Last refreshed: