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Pasch's axiom

name

Etymology

Its essential role was discovered in 1882 by the German mathematician Moritz Pasch.

Definitions

  1. A statement in plane geometry, used implicitly by Euclid, which cannot be derived from…

    A statement in plane geometry, used implicitly by Euclid, which cannot be derived from Euclid's postulates. It states that, if a line, not passing through any vertex of a triangle, meets one side of the triangle then it meets another side.

The neighborhood

Vish — recursive loop

No curated loop yet for Pasch's axiom. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA