{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-6ARR6UWK/1eb172a5-34b0-48c6-91f4-685ac65b010f/PDF","dcterms:extent":"1367 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-6ARR6UWK/0aeb73ff-80e9-402e-b57f-9128eaa1a02d/TEXT","dcterms:extent":"61 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-6ARR6UWK","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2016","dc:creator":"Kocay, William Lawrence","dc:format":[{"@xml:lang":"sl","#text":"letnik:10"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 291-322"}],"dc:identifier":["COBISSID:17833305","ISSN:1855-3966","URN:URN:NBN:SI:doc-6ARR6UWK"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"geometrija"},{"@xml:lang":"sl","#text":"konfiguracije"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"One-point extensions in nsub3 configurations|"},"dc:description":[{"@xml:lang":"sl","#text":"Given an ?$n_3$? configuration, a 1-point extension is a technique that constructs an ?$(n + 1)_3$? configuration from it. It is proved that all ?$(n + 1)_3$? configurations can be constructed from an ?$n_3$? configuration using a 1-point extension, except for the Fano, Pappus, and Desargues configurations, and a family of Fano-type configurations. A 3-point extension is also described. A 3-point extension of the Fano configuration produces the Desargues and anti-Pappian configurations. The significance of the 1-point extension is that it can frequently be used to construct real and/or rational coordinatizations in the plane of an ?$(n+1)_3$? configuration, whenever it is geometric, and the corresponding ?$n_3$? configuration is also geometric"},{"@xml:lang":"sl","#text":"Če imamo dano ?$n_3$? konfiguracijo, je 1-točkovna razširitev tehnika, ki iz nje konstruira ?$(n + 1)_3$? konfiguracijo. Dokažemo, da lahko vse ?$(n + 1)_3$? konfiguracije konstruiramo iz ?$n_3$? konfiguracije z uporabo 1-točkovne razširitve, z izjemo Fanove ravnine, Pappusove in Desarguesove konfiguracije ter družine konfiguracij Fanovega tipa. Opišemo tudi 3-točkovno razširitev in pokažemo, da lahko s 3-točkovno razširitvijo Fanove ravnine dobimo Desarguesovo in anti-Pappusovo konfiguracijo. Pomen 1-točkovne razširitve je v tem, da jo lahko pogosto uporabimo za konstruiranje realnih in/ali racionalnih koordinatizacij v ravnini ?$(n + 1)_3$? konfiguracije, kadarkoli je ta geometrijska in je ustrezna ?$n_3$? konfiguracija prav tako geometrijska"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-6ARR6UWK","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-6ARR6UWK"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-6ARR6UWK/1eb172a5-34b0-48c6-91f4-685ac65b010f/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-6ARR6UWK/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-6ARR6UWK"}}}}