{"?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-XLRWDKTJ/a22dc6b0-7013-4ca7-b8cb-f6094bd96072/PDF","dcterms:extent":"571 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-XLRWDKTJ/af51dd3b-13ce-4588-8bd5-5df9643c2db3/TEXT","dcterms:extent":"34 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-XLRWDKTJ","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2018","dc:creator":"Zamfirescu, Carol T.","dc:format":[{"@xml:lang":"sl","#text":"letnik:14"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 359-373"}],"dc:identifier":["COBISSID:18456921","ISSN:1855-3966","URN:URN:NBN:SI:doc-XLRWDKTJ"],"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":"kombinatorika"},{"@xml:lang":"sl","#text":"kongruentni trikotniki"},{"@xml:lang":"sl","#text":"sestavi premic"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Congruent triangles in arrangements of lines|"},"dc:description":{"@xml:lang":"sl","#text":"Raziskujemo maksimalno število kongruentnih trikotnikov v končnih sestavih ?$\\ell$? premic v evklidski ravnini. Označimo to število z ?$f(\\ell)$?. Pokažemo, da je ?$f(5) = 5$? in da je konstrukcija, ki realizira ta maksimum, enolična, ter da je ?$f(6) = 8$? in ?$f(7) = 14$?. Obravnavamo tudi vprašanje, za katera cela števila ?$c$? obstajajo sestavi ?$\\ell$? premic z natanko ?$c$? kongruentnimi trikotniki. Poleg tega obravnavamo primer, ko so trikotniki lica ravninskega grafa, pridruženega sestavu (tj. notranjost trikotnika ima prazen presek z vsako premico sestava). Nazadnje formuliramo štiri domneve"},"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-XLRWDKTJ","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-XLRWDKTJ"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-XLRWDKTJ/a22dc6b0-7013-4ca7-b8cb-f6094bd96072/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-XLRWDKTJ/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-XLRWDKTJ"}}}}