SHMARQL

Pasch's axiom

<http://www.wikidata.org/entity/Q792528>

statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them
rdfs:label
"Pasch's axiom"@en
skos:altLabel "Axioma da separação do plano"@pt
"Postulado da Pasch"@pt
"Postulado da separação do plano"@pt
schema:description
"statement in plane geometry, used implicitly by Euclid, which cannot be derived from the postulates as Euclid gave them"@en
schema:dateModified "2026-07-22T16:17:21+00:00"^^xsd:dateTime
schema:version 2521205586
wikibase:identifiers 3
wikibase:sitelinks 16
wikibase:statements 8
p:P138 wd:statement/q792528-0d1fcb7f-4be6-afda-3b59-a1035fca6fe5
p:P1889 wd:statement/Q792528-737b6e1f-4f70-ee3e-abac-97c33fc602cd
p:P2812 wd:statement/Q792528-3FCC9F20-96CF-49BD-900D-9705649445A1
p:P31 wd:statement/Q792528-c80d9c4c-4b47-08fe-7806-947eb2ce9195
p:P5555 wd:statement/Q792528-0f493000-4464-1512-dc11-40e5b1879c3b
p:P6104 wd:statement/Q792528-479D1FBA-762B-4BC1-B067-7AC52CB8AC6A
p:P6366 wd:statement/Q792528-FE034C78-129B-485F-8BCE-1D496F067062
p:P646 wd:statement/Q792528-DCE4DBFF-8D02-450D-93BD-541B0CB55799
p:direct-normalized/P6366 <https://makg.org/entity/133088804>
wdt:P138 Moritz Pasch
wdt:P1889 Pasch's theorem
wdt:P2812 "PaschsAxiom"
wdt:P31 axiom
wdt:P5555 <http://commons.wikimedia.org/wiki/Special:FilePath/Paschaxiom.svg>
wdt:P6104 WikiProject Mathematics
wdt:P6366 "133088804"
wdt:P646 "/m/0f2rsm"
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