The Pasch's axiom cardPasch's axiom

Pasch's axiom

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Notion
Domain
Science and technology
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What Wikipedia says

In geometry, Pasch's axiom is a statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them. Its essential role was discovered by Moritz Pasch in 1882.

Excerpt from the Wikipedia article “Pasch's axiom”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Filos96, Public domain, via Wikimedia Commons.

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