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The Traité du triangle arithmétique is printed

In 1665 the Traité du triangle arithmétique appeared, setting out binomial coefficients and combinatorial identities later called Pascal’s triangle in many textbooks. 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.

Sources: [1][2]

Read the full account

In 1665 the Traité du triangle arithmétique appeared, setting out binomial coefficients and combinatorial identities later called Pascal’s triangle in many textbooks. He did not live to see every school poster.

Context

Combinatorics is a knowledge good. Its use in chance sits on the 1654 row’s commercial reading. Keep the treatise as access.

Blaise Pascal 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 printed arithmetic triangle is an education path. High confidence on 1665.

High confidence on 1665.

Who was responsible

Contribution type and responsibility level for each recorded actor — not sole-author shorthand.

  • Blaise Pascal

    Person

    Direct responsibility

    responsibility level 0.32 · verified

    Mathematician, Jansenist controversialist, and inventor as documented. Printers, Port-Royal, and later metrologists reuse the name.

What changed

Fact → Driver → Indicator. Relationship strength orders the paths; it is not the observed indicator movement.

Evidence

The sources behind this fact and its verification state.

Verified2 sources on file
  1. 1.Traité du triangle arithmétique — Internet ArchiveInternet Archive · High credibility · verified
  2. 2.MacTutor — Blaise PascalUniversity of St Andrews · High credibility · verified
What the sources establish

Later competitions, monuments, translations, UNESCO listings, and museums are not converted into extra lifetime acts. That reading is an impact-path choice, not a property stored on the Fact itself. Confidence is stated on the impact path. A later English edition is not a recovered autograph. If a number is not in the two records named above, it is not supplied here. Confidence is stated on the impact path.

Causal path

How this event connects to drivers and indicators in the graph.

  1. ActorBlaise Pascal
  2. contributed toFactThe Traité du triangle arithmétique is printed
  3. strengthensDriverDigital Learning Access
  4. weakensIndicatorLearning Poverty Rate (low- and middle-income countries)

Cite this page

Factrail. (2026). The Traité du triangle arithmétique is printed. Factrail. https://factrail.ai/facts/pa-triangle-1665

https://factrail.ai/facts/pa-triangle-1665

Accessed 16 October 2026.

By the Factrail desk · Method: how we source and score · Last reviewed

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