Euclid's first theorem

theorem in Euclidean geometry
Intangible theorem Q3921905

Facts

6 properties
Instance of
theorem
Defining formula
\overline{AC} : \overline{CB} = \overline{CB} : \overline{CH}, \overline{CB}^{2} = \overline{AC} \cdot \overline{CH}[5][6]
Discoverer or inventor
Euclid[2]
Maintained by WikiProject
WikiProject Mathematics[7]
Named after
Euclid[3]
🏷️ Also known as
en Cathetus theorem en Euclid's first theorem en Euclid's proof of the Pythagorean theorem de Euklidischer Kathetensatz de Kathetensatz de Kathetensatz des Euklid fr premier théorème d'Euclide it primo teorema di Euclide it teorema del cateto di Euclide uk Перша теорема Евкліда zh 射影定理
🔖 Identifiers · 2
Image (Wikimedia Commons)
Kathetensatz.svg ↗
Google Knowledge Graph ID
/g/122cc1_m, /g/121hg7f4

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Discoverer or inventor 1
Instance of 1
Maintained by WikiProject 1
Named after 1
Press Enter · cited answer in seconds

Summary

Euclid's first theorem is a theorem[1].

📑 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). Euclid's first theorem. Retrieved November 4, 2026, from https://4ort.xyz/entity/euclid-s-first-theorem
MLA “Euclid's first theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/euclid-s-first-theorem.
BibTeX @misc{4ortxyz_euclid-s-first-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euclid's first theorem}}, year = {2026}, url = {https://4ort.xyz/entity/euclid-s-first-theorem}, note = {Accessed: 2026-11-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euclid's first theorem — https://4ort.xyz/entity/euclid-s-first-theorem (retrieved 2026-11-04)

Canonical URL: https://4ort.xyz/entity/euclid-s-first-theorem · Last refreshed: