Modern Euclid editions attribute a right-triangle theorem to a Pythagorean heading that is later
School Euclid (Perseus/Clay) and Britannica’s theorem article teach ‘Pythagoras’s theorem’ as a name. Teaching a later Euclidean proof as his autograph is a knowledge-harm: a swollen heading. In the causal graph this event weakens Digital Learning Access, a driver that weakens Learning Poverty Rate (low- and middle-income countries) — a worsening welfare path.
Read the full account
School Euclid (Perseus/Clay) and Britannica’s theorem article teach ‘Pythagoras’s theorem’ as a name. Teaching a later Euclidean proof as his autograph is a knowledge-harm: a swollen heading.
Context
The proof-as-access is an improving row. This stores the false-precision of the name.
Pythagoras is not the sole author of every later object, law, or museum label that uses the name. Shared work with courts, excavators, printers, spouses, officials, and later states does not erase a documented role, and it does not make an ancient person the signer of a twentieth-century statute.
Why it matters
A school theorem-name is not a 6th-century proof on papyrus.
Who was responsible
Contribution type and responsibility level for each recorded actor — not sole-author shorthand.
Pythagoras
PersonDirect responsibility
responsibility level 0.26 · verified
Named sage as heading of later school reports. Iamblichus, Euclid’s editors, and later math teachers publish the instrument.
What changed
Fact → Driver → Indicator. Relationship strength orders the paths; it is not the observed indicator movement.
- FactModern Euclid editions attribute a right-triangle theorem to a Pythagorean heading that is later
- weakensDriverDigital Learning Access
- weakensIndicators (3)Learning Poverty Rate (low- and middle-income countries)
impact weight 0.4 · Effect from 1 January 1926 · verified
A school theorem-name is not a 6th-century proof on papyrus.
Weakens · Relationship strength 0.16 (weight 0.4 × strength 0.4)
Observed
70% of 10-year-olds · 70 above the normal line (2022)
Worse than normalTwo readings: 57% of 10-year-olds (2019) and 70% of 10-year-olds (2022).
20192022 Above normal = worse
Strengthens · Relationship strength 0.14 (weight 0.4 × strength 0.35)
Observed
472 PISA score points · 28 below the normal line (2022)
Worse than normal7 readings, 2003–2022: fell from 499 PISA score points to 472 PISA score points.
Above normal = better
Weakens · Relationship strength 0.12 (weight 0.4 × strength 0.3)
Observed
11% of primary-school-age children · 11 above the normal line (2023)
Worse than normalAbove normal = worse
Evidence
The sources behind this fact and its verification state.
- 1.Perseus — Euclid, ElementsPerseus Digital Library / Tufts · High credibility · verified
- 2.Britannica — Pythagorean theoremEncyclopaedia Britannica · High credibility · verified
Causal path
How this event connects to drivers and indicators in the graph.
- ActorPythagoras
- contributed toFactModern Euclid editions attribute a right-triangle theorem to a Pythagorean heading that is later
- weakensDriverDigital Learning Access
- weakensIndicatorLearning Poverty Rate (low- and middle-income countries)
Cite this page
Factrail. (2026). Modern Euclid editions attribute a right-triangle theorem to a Pythagorean heading that is later. Factrail. https://factrail.ai/facts/py-theorem-euclid-not-autograph
https://factrail.ai/facts/py-theorem-euclid-not-autograph
Accessed 16 October 2026.
By the Factrail desk · Method: how we source and score · Last reviewed
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