Fagnano's problem

optimization problem about determining the inscribed triangle of minimal perimeter inside a given acute triangle
Intangible theorem Q918258
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Fagnano's problem

Summary

Fagnano's problem is a theorem[1]. It draws 17 Wikipedia views per month (theorem category, ranking #262 of 1,306).[2]

Key Facts

  • Fagnano's problem's image is recorded as Fagnano problem.svg[3].
  • Fagnano's problem's instance of is recorded as theorem[4].
  • Fagnano's problem's instance of is recorded as mathematical problem[5].
  • Giovanni Fagnano is named after Fagnano's problem[6].
  • Fagnano's problem's Freebase ID is recorded as /m/05fc5p5[7].
  • Fagnano's problem's solved by is recorded as Giulio Carlo de' Toschi di Fagnano[8].
  • Fagnano's problem's facet of is recorded as triangle geometry[9].
  • Fagnano's problem's statement describes is recorded as triangle[10].
  • Fagnano's problem's MathWorld ID is recorded as FagnanosProblem[11].
  • Fagnano's problem's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Fagnano's problem's Microsoft Academic ID is recorded as 69756596[13].
  • Fagnano's problem's Encyclopedia of Mathematics article ID is recorded as Fagnano_problem[14].

Why It Matters

Fagnano's problem draws 17 Wikipedia views per month (theorem category, ranking #262 of 1,306).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[15] It is known by 3 alternative names across languages and contexts.[16]

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] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Retrieved . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. wikidata.org.
  3. [16] . 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). Fagnano's problem. Retrieved May 3, 2026, from https://4ort.xyz/entity/fagnano-s-problem
MLA “Fagnano's problem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/fagnano-s-problem.
BibTeX @misc{4ortxyz_fagnano-s-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Fagnano's problem}}, year = {2026}, url = {https://4ort.xyz/entity/fagnano-s-problem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Fagnano's problem — https://4ort.xyz/entity/fagnano-s-problem (retrieved 2026-05-03)

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