Public Euclid Elements, including the right-triangle proposition, enter Perseus and Clay as school text
A Perseus Euclid is not a Samian autograph. In the causal graph this event strengthens Digital Learning Access, a driver that weakens Learning Poverty Rate (low- and middle-income countries) — an improving welfare path.
Read the full account
The name Pythagoras is a later heading; the proof-text is the access gain.
Context
This stores Euclid-as-school.
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 Perseus Euclid is not a Samian autograph.
Who was responsible
Contribution type and responsibility level for each recorded actor — not sole-author shorthand.
Pythagoras
PersonDirect responsibility
responsibility level 0.3 · 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.
- FactPublic Euclid Elements, including the right-triangle proposition, enter Perseus and Clay as school text
- strengthensDriverDigital Learning Access
- weakensIndicators (3)Learning Poverty Rate (low- and middle-income countries)
impact weight 0.5 · Effect from 1 June 1926 · verified
A Perseus Euclid is not a Samian autograph.
Weakens · Relationship strength 0.2 (weight 0.5 × 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 0.17 (weight 0.5 × 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 0.15 (weight 0.5 × 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.Clay Mathematics Institute — Euclid’s ElementsClay Mathematics Institute · High credibility · verified
- 2.Perseus — Euclid, ElementsPerseus Digital Library / Tufts · High credibility · verified
What the sources establish
Perseus and Clay Mathematics Institute public Euclid make Book I’s right-triangle proposition copyable.
Causal path
How this event connects to drivers and indicators in the graph.
- ActorPythagoras
- contributed toFactPublic Euclid Elements, including the right-triangle proposition, enter Perseus and Clay as school text
- strengthensDriverDigital Learning Access
- weakensIndicatorLearning Poverty Rate (low- and middle-income countries)
Cite this page
Factrail. (2026). Public Euclid Elements, including the right-triangle proposition, enter Perseus and Clay as school text. Factrail. https://factrail.ai/facts/py-euclid-elements-access
https://factrail.ai/facts/py-euclid-elements-access
Accessed 15 October 2026.
By the Factrail desk · Method: how we source and score · Last reviewed
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