Pappus's centroid theorem

theorem that, for a solid of revolution of a planar figure, the surface area equals the figure’s perimeter times the distance the perimeter’s centroid travels, and the volume equals the figure’s area times the distance the figure’s centroid travels
Intangible theorem Q845088
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Pappus's centroid theorem

Summary

Pappus's centroid theorem is a theorem[1]. It draws 81 Wikipedia views per month (theorem category, ranking #211 of 1,306).[2]

Key Facts

  • Pappus's centroid theorem is credited with the discovery of Pappus of Alexandria[3].
  • Pappus's centroid theorem's video is recorded as Pappus centroid theorem areas.gif[4].
  • Pappus's centroid theorem's instance of is recorded as theorem[5].
  • Pappus of Alexandria is named after Pappus's centroid theorem[6].
  • Paul Guldin is named after Pappus's centroid theorem[7].
  • Pappus's centroid theorem's depicts is recorded as volume[8].
  • Pappus's centroid theorem's depicts is recorded as body surface area[9].
  • Pappus's centroid theorem's depicts is recorded as center of mass[10].
  • Pappus's centroid theorem's part of is recorded as list of theorems[11].
  • Pappus's centroid theorem's Commons category is recorded as Pappus-Guldinus theorem[12].
  • Pappus's centroid theorem's Freebase ID is recorded as /m/02jwg6[13].
  • Pappus's centroid theorem's solved by is recorded as Paul Guldin[14].
  • Pappus's centroid theorem's MathWorld ID is recorded as PappussCentroidTheorem[15].
  • Pappus's centroid theorem's schematic is recorded as Guldin demi cercle.svg[16].
  • Pappus's centroid theorem's schematic is recorded as Guldin demi disque.svg[17].
  • Pappus's centroid theorem's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • Pappus's centroid theorem's Microsoft Academic ID is recorded as 196931875[19].
  • Pappus's centroid theorem's Brilliant Wiki ID is recorded as pappus-centroid-theorems[20].

Body

Works and Contributions

Pappus's centroid theorem is credited with the discovery of Pappus of Alexandria[3].

Why It Matters

Pappus's centroid theorem draws 81 Wikipedia views per month (theorem category, ranking #211 of 1,306).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[21] It is known by 25 alternative names across languages and contexts.[22]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . 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] . wikidata.org.
  11. [13] . Freebase Data Dumps. 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). Pappus's centroid theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/pappus-s-centroid-theorem
MLA “Pappus's centroid theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pappus-s-centroid-theorem.
BibTeX @misc{4ortxyz_pappus-s-centroid-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pappus's centroid theorem}}, year = {2026}, url = {https://4ort.xyz/entity/pappus-s-centroid-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pappus's centroid theorem — https://4ort.xyz/entity/pappus-s-centroid-theorem (retrieved 2026-05-03)

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