<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Complex_number> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Homeomorphism> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sr.dbpedia.org/resource/\u0422\u043E\u0440\u0443\u0441> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Sphere-like_degenerate_torus.gif> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://pl.dbpedia.org/resource/Torus_(matematyka)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Angenent_torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Doughnut> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.visumap.net/index.aspx%3Fp=Resources/RpmOverview> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Lifebuoy> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u0627\u0644\u0637\u0627\u0631\u0629 (\u0623\u0648 \u0627\u0644\u0633\u0637\u062D \u0627\u0644\u062D\u0644\u0642\u064A) \u0641\u064A \u0627\u0644\u0647\u0646\u062F\u0633\u0629 \u0647\u0648 \u0633\u0637\u062D \u062F\u0648\u0631\u0627\u0646\u064A \u0641\u064A \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0625\u0642\u0644\u064A\u062F\u064A \u064A\u0646\u062A\u062C \u0628\u062F\u0648\u0631\u0627\u0646 \u062F\u0627\u0626\u0631\u0629 \u062D\u0648\u0644 \u062E\u0637 \u0645\u0633\u062A\u0642\u064A\u0645"@ar .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#differentFrom>	<http://dbpedia.org/resource/Solid_torus> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Standard_torus-horn.png> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://be.dbpedia.org/resource/\u0422\u043E\u0440_(\u0433\u0435\u0430\u043C\u0435\u0442\u0440\u044B\u044F)> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Standard_torus-ring.png> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://it.dbpedia.org/resource/Toro_(geometria)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ar.dbpedia.org/resource/\u0637\u0627\u0631\u0629_(\u0631\u064A\u0627\u0636\u064A\u0627\u062A)> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Standard_torus-spindle.png> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Lemon_(geometry)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Plane_(mathematics)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Homeomorphism_group> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Chromatic_number> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Toro (geometrio)"@eo .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Short_exact_sequence> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Quartic_equation> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Torus"@en .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u0637\u0627\u0631\u0629 (\u0631\u064A\u0627\u0636\u064A\u0627\u062A)"@ar .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Configuration_space_(physics)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"\u5728\u51E0\u4F55\u4E0A\uFF0C\u4E00\u4E2A\u73AF\u9762\u662F\u4E00\u4E2A\u624B\u956F\u5F62\u72B6\u7684\u65CB\u8F6C\u66F2\u9762\uFF0C\u7531\u4E00\u4E2A\u5706\u7ED5\u4E00\u4E2A\u548C\u8BE5\u5706\u5171\u9762\u7684\u4E00\u4E2A\u8F74\u56DE\u8F6C\u6240\u751F\u6210\u3002\u7403\u9762\u53EF\u4EE5\u89C6\u4E3A\u73AF\u9762\u7684\u7279\u6B8A\u60C5\u51B5\uFF0C\u4E5F\u5C31\u662F\u65CB\u8F6C\u8F74\u662F\u8BE5\u5706\u7684\u76F4\u5F84\u65F6\u3002\u82E5\u8F6C\u8F74\u548C\u5706\u4E0D\u76F8\u4EA4\uFF0C\u5706\u9762\u4E2D\u95F4\u6709\u4E00\u4E2A\u6D1E\uFF0C\u5C31\u50CF\u4E00\u4E2A\u624B\u956F\u3001\u751C\u751C\u5708\u3001\u547C\u5566\u5708\uFF0C\u6216\u8005\u4E00\u4E2A\u5145\u4E86\u6C14\u7684\u8F6E\u80CE\u3002\u53E6\u4E00\u4E2A\u60C5\u51B5\uFF0C\u4E5F\u5C31\u662F\u8F74\u662F\u5706\u7684\u4E00\u6839\u5F26\u7684\u65F6\u5019\uFF0C\u5C31\u4EA7\u751F\u4E00\u4E2A\u6324\u6241\u4E86\u7684\u7403\u9762\uFF0C\u5C31\u50CF\u4E00\u4E2A\u5706\u7684\u5EA7\u57AB\u90A3\u6837\u3002\u82F1\u6587Torus\u66FE\u662F\u62C9\u4E01\u6587\u7684\u8FD9\u79CD\u5F62\u72B6\u7684\u5EA7\u57AB\u3002"@zh .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Authority_control> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Torus_from_rectangle.gif> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://da.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/alt>	"spindle"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Triangular_prism> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:About> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u30C8\u30FC\u30E9\u30B9"@ja .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Euclidean_space> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://uz.dbpedia.org/resource/Tor_(jism)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Combinatorics> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"\u0422\u043E\u0440 (\u0442\u043E\u0440\u043E\u0438\u0434) \u2014 \u043F\u043E\u0432\u0435\u0440\u0445\u043D\u043E\u0441\u0442\u044C \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u044F, \u043F\u043E\u043B\u0443\u0447\u0430\u0435\u043C\u0430\u044F \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u0435\u043C \u043E\u0431\u0440\u0430\u0437\u0443\u044E\u0449\u0435\u0439 \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u0438 \u0432\u043E\u043A\u0440\u0443\u0433 \u043E\u0441\u0438, \u043B\u0435\u0436\u0430\u0449\u0435\u0439 \u0432 \u043F\u043B\u043E\u0441\u043A\u043E\u0441\u0442\u0438 \u044D\u0442\u043E\u0439 \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u0438 \u0438 \u043D\u0435 \u043F\u0435\u0440\u0435\u0441\u0435\u043A\u0430\u044E\u0449\u0435\u0439 \u0435\u0451. \u041E\u0431\u043E\u0431\u0449\u0435\u043D\u043D\u043E, \u0442\u043E\u0440 \u2014 \u0442\u043E\u043F\u043E\u043B\u043E\u0433\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u043E \u0438\u043B\u0438 \u0433\u043B\u0430\u0434\u043A\u043E\u0435 \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u0435, \u044D\u043A\u0432\u0438\u0432\u0430\u043B\u0435\u043D\u0442\u043D\u043E\u0435 \u0442\u0430\u043A\u043E\u0439 \u043F\u043E\u0432\u0435\u0440\u0445\u043D\u043E\u0441\u0442\u0438. \u0418\u043D\u043E\u0433\u0434\u0430 \u043D\u0435 \u0442\u0440\u0435\u0431\u0443\u044E\u0442, \u0447\u0442\u043E\u0431\u044B \u043E\u0441\u044C \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u044F \u043D\u0435 \u043F\u0435\u0440\u0435\u0441\u0435\u043A\u0430\u043B\u0430 \u043E\u0431\u0440\u0430\u0437\u0443\u044E\u0449\u0443\u044E \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u044C. \u0412 \u0442\u0430\u043A\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435, \u0435\u0441\u043B\u0438 \u043E\u0441\u044C \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u044F \u043F\u0435\u0440\u0435\u0441\u0435\u043A\u0430\u0435\u0442 \u043E\u0431\u0440\u0430\u0437\u0443\u044E\u0449\u0443\u044E \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u044C (\u0438\u043B\u0438 \u043A\u0430\u0441\u0430\u0435\u0442\u0441\u044F \u0435\u0451), \u0442\u043E \u0442\u043E\u0440 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 \u0437\u0430\u043A\u0440\u044B\u0442\u044B\u043C, \u0438\u043D\u0430\u0447\u0435 \u043E\u0442\u043A\u0440\u044B\u0442\u044B\u043C. \u041F\u043E\u043D\u044F\u0442\u0438\u0435 \u0442\u043E\u0440\u0430 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u044F\u0435\u0442\u0441\u044F \u0438 \u0432 \u043C\u043D\u043E\u0433\u043E\u043C\u0435\u0440\u043D\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435. \u0422\u043E\u0440 \u044F\u0432\u043B\u044F\u0435\u0442\u0441\u044F \u043F\u0440\u0438\u043C\u0435\u0440\u043E\u043C \u043A\u043E\u043C\u043C\u0443\u0442\u0430\u0442\u0438\u0432\u043D\u043E\u0439 \u0430\u043B\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u0433\u0440\u0443\u043F\u043F\u044B \u0438 \u043F\u0440\u0438\u043C\u0435\u0440\u043E\u043C \u0433\u0440\u0443\u043F\u043F\u044B \u041B\u0438."@ru .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Algebraic_torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"\u0422\u043E\u0440 \u2014 \u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0435 \u0442\u0456\u043B\u043E, \u0449\u043E \u0443\u0442\u0432\u043E\u0440\u044E\u0454\u0442\u044C\u0441\u044F \u043E\u0431\u0435\u0440\u0442\u0430\u043D\u043D\u044F\u043C \u043A\u043E\u043B\u0430 \u043D\u0430\u0432\u043A\u043E\u043B\u043E \u043E\u0441\u0456, \u043A\u043E\u0442\u0440\u0430 \u043B\u0435\u0436\u0438\u0442\u044C \u0443 \u043E\u0434\u043D\u0456\u0439 \u043F\u043B\u043E\u0449\u0438\u043D\u0456 \u0437 \u043A\u043E\u043B\u043E\u043C, \u0430\u043B\u0435 \u043D\u0435 \u043F\u0435\u0440\u0435\u0442\u0438\u043D\u0430\u0454 \u0439\u043E\u0433\u043E. \u0424\u043E\u0440\u043C\u0430 \u0442\u043E\u0440\u0430 \u0437\u043E\u0432\u043D\u0456 \u043D\u0430\u0433\u0430\u0434\u0443\u0454 \u0431\u0443\u0431\u043B\u0438\u043A."@uk .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Geometric_topology> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Nash_embedding_theorem> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://la.dbpedia.org/resource/Torus_(mathematica)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Clifford_torus> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ru.dbpedia.org/resource/\u0422\u043E\u0440_(\u043F\u043E\u0432\u0435\u0440\u0445\u043D\u043E\u0441\u0442\u044C)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://gl.dbpedia.org/resource/Toro_(xeometr\u00EDa_e_topolox\u00EDa)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Weierstrass_point> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Relative_topology> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Geometrian, torua (latinezko torus hitzetik) biraketa-gainazal bat da, zirkunferentzia batek haren dagoen zuzen baten inguruan bira egitean sortzen duena. Hitz arruntagoetan, esan liteke pneumatiko baten aire-ganberaren forma duela toruak. Toroidearen kasu berezi bat da. Definizio orokorrago baten arabera, toruaren sortzailea, zirkunferentzia bat ez ezik, elipse bat edo beste kurba koniko bat ere izan daiteke."@eu .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Surface_area> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u0422\u043E\u0440 (\u0442\u043E\u0440\u043E\u0438\u0434) \u2014 \u043F\u043E\u0432\u0435\u0440\u0445\u043D\u043E\u0441\u0442\u044C \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u044F, \u043F\u043E\u043B\u0443\u0447\u0430\u0435\u043C\u0430\u044F \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u0435\u043C \u043E\u0431\u0440\u0430\u0437\u0443\u044E\u0449\u0435\u0439 \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u0438 \u0432\u043E\u043A\u0440\u0443\u0433 \u043E\u0441\u0438, \u043B\u0435\u0436\u0430\u0449\u0435\u0439 \u0432 \u043F\u043B\u043E\u0441\u043A\u043E\u0441\u0442\u0438 \u044D\u0442\u043E\u0439 \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u0438 \u0438 \u043D\u0435 \u043F\u0435\u0440\u0435\u0441\u0435\u043A\u0430\u044E\u0449\u0435\u0439 \u0435\u0451. \u041E\u0431\u043E\u0431\u0449\u0435\u043D\u043D\u043E, \u0442\u043E\u0440 \u2014 \u0442\u043E\u043F\u043E\u043B\u043E\u0433\u0438\u0447\u0435\u0441\u043A\u043E\u0435 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u043E \u0438\u043B\u0438 \u0433\u043B\u0430\u0434\u043A\u043E\u0435 \u043C\u043D\u043E\u0433\u043E\u043E\u0431\u0440\u0430\u0437\u0438\u0435, \u044D\u043A\u0432\u0438\u0432\u0430\u043B\u0435\u043D\u0442\u043D\u043E\u0435 \u0442\u0430\u043A\u043E\u0439 \u043F\u043E\u0432\u0435\u0440\u0445\u043D\u043E\u0441\u0442\u0438. \u0418\u043D\u043E\u0433\u0434\u0430 \u043D\u0435 \u0442\u0440\u0435\u0431\u0443\u044E\u0442, \u0447\u0442\u043E\u0431\u044B \u043E\u0441\u044C \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u044F \u043D\u0435 \u043F\u0435\u0440\u0435\u0441\u0435\u043A\u0430\u043B\u0430 \u043E\u0431\u0440\u0430\u0437\u0443\u044E\u0449\u0443\u044E \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u044C. \u0412 \u0442\u0430\u043A\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435, \u0435\u0441\u043B\u0438 \u043E\u0441\u044C \u0432\u0440\u0430\u0449\u0435\u043D\u0438\u044F \u043F\u0435\u0440\u0435\u0441\u0435\u043A\u0430\u0435\u0442 \u043E\u0431\u0440\u0430\u0437\u0443\u044E\u0449\u0443\u044E \u043E\u043A\u0440\u0443\u0436\u043D\u043E\u0441\u0442\u044C (\u0438\u043B\u0438 \u043A\u0430\u0441\u0430\u0435\u0442\u0441\u044F \u0435\u0451), \u0442\u043E \u0442\u043E\u0440 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 \u0437\u0430\u043A\u0440\u044B\u0442\u044B\u043C, \u0438\u043D\u0430\u0447\u0435 \u043E\u0442\u043A\u0440\u044B\u0442\u044B\u043C. \u041F\u043E\u043D\u044F\u0442\u0438\u0435 \u0442\u043E\u0440\u0430 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u044F\u0435\u0442\u0441\u044F \u0438 \u0432 \u043C\u043D\u043E\u0433\u043E\u043C\u0435\u0440\u043D\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435. \u0422\u043E\u0440 \u044F\u0432\u043B\u044F\u0435\u0442\u0441\u044F \u043F\u0440\u0438\u043C\u0435\u0440\u043E\u043C \u043A\u043E\u043C\u043C\u0443\u0442\u0430\u0442\u0438\u0432\u043D\u043E\u0439 \u0430\u043B\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u0433\u0440\u0443\u043F\u043F\u044B \u0438 \u043F\u0440\u0438\u043C\u0435\u0440\u043E\u043C \u0433\u0440\u0443\u043F\u043F\u044B \u041B\u0438."@ru .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Toroid> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Automorphism> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/image>	"Standard_torus-spindle.png"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Complete_graph> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Reflist> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Sfrac> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Parametric_equation> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Cross-ratio> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://de.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Tangent> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Riemannian_manifold> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Analytic_function> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Free_abelian_group> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Surface_(topology)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Klein_bottle> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Een torus (meervoud: tori of torussen) is een driedimensionaal omwentelingslichaam, dat ontstaat door een cirkel te wentelen om een lijn die zich in het vlak van de cirkel bevindt. Als deze lijn de cirkel niet snijdt of raakt, is het resultaat een open torus welke ringvormig is, of vergelijkbaar met de binnenband van een fiets. Het oppervlak van een open torus is: 4 \u03C02 r R De inhoud van een open torus is: 2 \u03C02 r2 R De cartesische vergelijking wordt gegeven door: Een mogelijke parametrisatie van een torus rond de z-as is waar zowel u als v vari\u00EBren van 0 tot 2\u03C0. Hierin is r de straal van de cirkel en R de afstand tussen het middelpunt van de cirkel en de verticale as."@nl .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Torus (matematyka)"@pl .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Triad_(music)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Hopf_bundle> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://oc.dbpedia.org/resource/T\u00F2r_(geometria)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://uk.dbpedia.org/resource/\u0422\u043E\u0440_(\u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0456\u044F)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://commons.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u521D\u7B49\u5E7E\u4F55\u5B66\u306B\u304A\u3051\u308B\u30C8\u30FC\u30E9\u30B9\uFF08\u82F1: torus, \u8907\u6570\u5F62: tori\uFF09\u3001\u5186\u74B0\u9762\u3001\u8F2A\u74B0\u9762\u306F\u3001\u5186\u5468\u3092\u56DE\u8EE2\u3057\u3066\u5F97\u3089\u308C\u308B\u56DE\u8EE2\u9762\u3067\u3042\u308B\u3002 \u3044\u304F\u3064\u304B\u306E\u6587\u8108\u3067\u306F\u3001\u4E8C\u3064\u306E\u5358\u4F4D\u5186\u5468\u306E\u76F4\u7A4D\u96C6\u5408 S1 \u00D7 S1\uFF08\u306B\u9069\u5F53\u306A\u69CB\u9020\u3092\u5165\u308C\u305F\u3082\u306E\uFF09\u3092\u300C\u30C8\u30FC\u30E9\u30B9\u300D\u3068\u5B9A\u7FA9\u3059\u308B\u3002\u7279\u306B\u3001\u4F4D\u76F8\u5E7E\u4F55\u5B66\u306B\u304A\u3051\u308B\u300C\u30C8\u30FC\u30E9\u30B9\u300D\u306F\u3001\u76F4\u7A4D\u4F4D\u76F8\u3092\u5099\u3048\u305F S1 \u00D7 S1 \u306B\u540C\u76F8\u306A\u56F3\u5F62\u306E\u7DCF\u79F0\u3068\u3057\u3066\u7528\u3044\u3089\u308C\u3001\u7A2E\u6570 1 \u306E\u9589\u66F2\u9762\uFF08\u30B3\u30F3\u30D1\u30AF\u30C8\uFF09\u3068\u3057\u3066\u7279\u5FB4\u3065\u3051\u3089\u308C\u308B\u3002\u3053\u306E\u3088\u3046\u306A\u30C8\u30FC\u30E9\u30B9\u306F R3 \u306B\u4F4D\u76F8\u7684\u306B\u57CB\u3081\u8FBC\u3081\u308B\u304C\u3001\u5404\u751F\u6210\u5186\u3092\u305D\u308C\u305E\u308C\u5225\u306E\u5E73\u9762 R2 \u306B\u57CB\u3081\u8FBC\u3093\u3067\u3001\u305D\u308C\u3089\u57CB\u3081\u8FBC\u307F\u3092\u4FDD\u3064\u3088\u3046\u306A\u76F4\u7A4D\u7A7A\u9593\u3068\u3057\u3066\u306E\u300C\u30C8\u30FC\u30E9\u30B9\u300D\u3092\u30E6\u30FC\u30AF\u30EA\u30C3\u30C9\u7A7A\u9593\u306B\u57CB\u3081\u8FBC\u3080\u3053\u3068\u306F R3 \u3067\u306F\u4E0D\u53EF\u80FD\u3067\u3001R4 \u3067\u8003\u3048\u308B\u5FC5\u8981\u304C\u3042\u308B\u3002\u3053\u308C\u306F \u3068\u547C\u3070\u308C\u308B\u3001\u56DB\u6B21\u5143\u7A7A\u9593\u5185\u306E\u66F2\u9762\u3092\u6210\u3059\u3002 \u6DF7\u540C\u3059\u3079\u304D\u3067\u306A\u3044\u95A2\u9023\u306E\u6DF1\u3044\u56F3\u5F62\u3068\u3057\u3066\u3001\u30C8\u30FC\u30E9\u30B9\u306B\u56F2\u307E\u308C\u305F\u9818\u57DF\uFF08\u4E09\u6B21\u5143\u56F3\u5F62\uFF09\u3059\u306A\u308F\u3061\u300C\u4E2D\u8EAB\u306E\u8A70\u307E\u3063\u305F\u30C8\u30FC\u30E9\u30B9\u300D(solid torus) \u3092\u3001\u30C8\u30FC\u30E9\u30B9\u4F53\u3001\u8F2A\u74B0\u4F53\u3001\u5186\u74B0\u4F53\u306A\u3069\u3068\uFF08\u5BFE\u3057\u3066\u3082\u3068\u306E\u30C8\u30FC\u30E9\u30B9\u3092\u30C8\u30FC\u30E9\u30B9\u9762 (toroid) \u3068\uFF09\u547C\u3076\u3053\u3068\u3082\u3042\u308B\u3002\u307E\u305F\u3001\u4E2D\u8EAB\u306E\u8A70\u307E\u3063\u305F\u30C8\u30FC\u30E9\u30B9\u3092\u5358\u306B\u300C\u30C8\u30FC\u30E9\u30B9\u300D(toroid) \u3068\u547C\u3076\u5834\u5408\u304C\u3042\u308B\u306E\u3067\u6CE8\u610F\u304C\u5FC5\u8981\u3067\u3042\u308B\u3002\u307E\u305F\u3001\u540C\u69D8\u306B\u300C\u5186\u74B0\u300D\u306A\u3069\u3068\u547C\u3070\u308C\u308B\u5225\u306E\u56F3\u5F62\u30A2\u30CB\u30E5\u30E9\u30B9\uFF08annulus\u3001\u74B0\u5E2F\uFF09\u3068\u3082\u6DF7\u540C\u3057\u3066\u306F\u306A\u3089\u306A\u3044\u3002"@ja .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://eu.dbpedia.org/resource/Toru> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Coplanarity> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://et.dbpedia.org/resource/Toor> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:No_footnotes> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Period_lattice> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Columns-list> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Clifford-torus.gif> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Short_description> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"En geometria, un tor \u00E9s una superf\u00EDcie de revoluci\u00F3 generada per un cercle que gira al voltant d'un eix coplanar a ell. Vulgarment, es coneix amb el nom de forma de d\u00F2nut. \u00C9s un cas particular del toroide, al qual la traject\u00F2ria del cercle \u00E9s tamb\u00E9 circular. D'altra banda, l'esfera \u00E9s un cas particular de tor, obtinguda quan l'eix de rotaci\u00F3 \u00E9s un di\u00E0metre del cercle. Si l'eix de rotaci\u00F3 no interseca el cercle, el tor t\u00E9 un forat al centre i s'assembla a un anell. L'altre cas, quan l'eix de rotaci\u00F3 \u00E9s una corda del cercle, produeix una esp\u00E8cie d'esfera aixafada semblant a un coix\u00ED rod\u00F3. Segons una definici\u00F3 m\u00E9s \u00E0mplia, el generador del tor no ha de ser necess\u00E0riament un cercle, sin\u00F3 que pot ser una el\u00B7lipse o qualsevol altra corba c\u00F2nica."@ca .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sh.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Sphere> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://no.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Triple_torus_illustration.png> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Expand_section> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Inside-out_torus_(animated,_small).gif> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Hexagonal_torus.png> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Commons_and_category> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Coordinate_axis> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Toro (geometr\u00EDa)"@es .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"En geometr\u00EDa, un toro es un tipo concreto de toroide cuya superficie de revoluci\u00F3n es generada por una circunferencia que gira alrededor de una recta exterior coplanaria (en su plano y que no la corta) o, llanamente, la superficie tridimensional que resulta de hacer girar una circunferencia alrededor de un eje que no la corta. La palabra \u00ABtoro\u00BB proviene del lat\u00EDn torus, que significa \u00ABprotuberancia\u00BB, \u00ABelevaci\u00F3n curva\u00BB (relacionado con lat\u00EDn \"sterno\" y griego \u03C3\u03C4\u03BF\u03C1\u03AD\u03BD\u03BD\u03C5\u03BC\u03B9, romanizado stor\u00E9nnymi) y que ya en lat\u00EDn adquiere sentidos t\u00E9cnicos para designar objetos con esta forma geom\u00E9trica espec\u00EDfica, por ejemplo en arquitectura (Vitr.3.3.8), donde designa el \u00ABbocel\u00BB o \u00ABmurecillo\u00BB, que es una moldura redondeada de la base, con forma de hogaza de pan.\u200BMuchos objetos cotidianos tienen forma de toro: un d\u00F3nut, una c\u00E1mara de neum\u00E1tico, etc."@es .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://ghostarchive.org/varchive/youtube/20211211/3_VydFQmtZ8> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Toro (topologia)"@pt .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u0422\u043E\u0440 (\u043F\u043E\u0432\u0435\u0440\u0445\u043D\u043E\u0441\u0442\u044C)"@ru .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://lb.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://hi.dbpedia.org/resource/\u091F\u0949\u0930\u0938> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://nl.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Normal_(geometry)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"En geometria, un tor \u00E9s una superf\u00EDcie de revoluci\u00F3 generada per un cercle que gira al voltant d'un eix coplanar a ell. Vulgarment, es coneix amb el nom de forma de d\u00F2nut. \u00C9s un cas particular del toroide, al qual la traject\u00F2ria del cercle \u00E9s tamb\u00E9 circular. D'altra banda, l'esfera \u00E9s un cas particular de tor, obtinguda quan l'eix de rotaci\u00F3 \u00E9s un di\u00E0metre del cercle. Si l'eix de rotaci\u00F3 no interseca el cercle, el tor t\u00E9 un forat al centre i s'assembla a un anell. L'altre cas, quan l'eix de rotaci\u00F3 \u00E9s una corda del cercle, produeix una esp\u00E8cie d'esfera aixafada semblant a un coix\u00ED rod\u00F3."@ca .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Sa gheoim\u00E9adracht, is dromchla imrothlaithe \u00E9 t\u00F3ras , taoschn\u00F3 a thugtar air sa ghn\u00E1thchaint, a ghintear tr\u00ED chiorcal a imrothl\u00FA i sp\u00E1s tr\u00EDthoiseach thart ar ais at\u00E1 ar comhphl\u00E1na leis an gciorcal.Mura nd\u00E9anann an ais imrothlaithe teagmh\u00E1il leis an gciorcal, b\u00EDonn se i bhfoirm f\u00E1inne ag an dromchla agus tugtar t\u00F3ras imrothlaithe air. M\u00E1 t\u00E1 an ais imrothlaithe tadhla\u00EDoch leis an gciorcal, is t\u00F3ras adhairce \u00E9. M\u00E1 th\u00E9ann an ais imrothlaithe dh\u00E1 uair tr\u00EDd an gciorcal, is t\u00F3ras fearsaide \u00E9 an dromchla. M\u00E1 th\u00E9ann an ais imrothlaithe tr\u00ED l\u00E1r an chiorcail, is t\u00F3ras d\u00EDchine\u00E1lach \u00E9 an dromchla, sf\u00E9ar d\u00E9chl\u00FAdaithe. Mura ciorcal \u00E9 an cuar imrothlach, is cruth gaolmhar \u00E9 an dromchla, tor\u00F3id."@ga .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Torus (Tori dalam bentuk jamak) dalam ilmu geometri adalah suatu permukaan yang tercipta akibat gerakan rotasi atau revolusi dari suatu lingkaran yang berputar dalam ruang tiga dimensi (dengan sumbu putar yang berada secara koplanar/se-bidang dengan lingkaran itu sendiri). Pada umumnya, sumbu putarnya tidak menyentuh lingkaran tersebut, sehingga akan membentuk suatu cincin atau torus. Bentuk torus yang lain adalah torus tanduk, yang timbul jika sumbu putarnya tegak lurus terhadap lingkaran yang diputar (kasus spesial terjadi jika sumbu putar berada di tengah-tengah lingkaran, sehingga membentuk permukaan bola). Bentuk torus yang solid (padat) sering disebut sebagai yang banyak dijumpai pada bentuk induktor dan transformator listrik. Contoh lain dari objek berbentuk toroid adalah kue donat, (bola) pelampung penyelemat diri di air laut (yang tersedia di kapal laut maupun pesawat udara), cincin O dan cincin Vortex. Dalam bahasa latin, torus berarti bantal. Persamaan parametrik dari sebuah torus didefinisikan sebagai: di mana u, v berada pada interval [0, 2\u03C0),R adalah jarak antara pusat torus dan pusat lingkaran (tube)r adalah radius dari lingkaran yang diputar (tube)."@in .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageRevisionID>	"1121172437"^^<http://www.w3.org/2001/XMLSchema#integer> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/image>	"Standard_torus-horn.png"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"\uAE30\uD558\uD559\uC5D0\uC11C \uC6D0\uD658\uBA74(\u5713\u74B0\u9762) \uB610\uB294 \uD1A0\uB7EC\uC2A4(\uC601\uC5B4: torus)\uB780 \uC6D0\uC744 \uC0BC\uCC28\uC6D0 \uACF5\uAC04 \uC0C1\uC5D0\uC11C \uC6D0\uC744 \uD3EC\uD568\uD558\uB294 \uD3C9\uBA74 \uC704\uC758 \uC9C1\uC120\uC744 \uCD95\uC73C\uB85C \uD68C\uC804\uD558\uC5EC \uB9CC\uB4E0 \uD68C\uC804\uBA74(surface of revolution)\uC774\uB2E4. \uB300\uBD80\uBD84\uC758 \uAD50\uACFC\uC11C\uC5D0\uC11C\uB294 \uC774 \uC9C1\uC120\uC774 \uC6D0\uACFC \uB9CC\uB098\uC9C0 \uC54A\uC74C\uC744 \uAC00\uC815\uD55C\uB2E4. \uC6D0\uD658\uBA74\uC744 \uD45C\uBA74\uC73C\uB85C \uD558\uB294 \uC785\uCCB4\uB294 \uB3C4\uB11B\uC758 \uBAA8\uC591\uC744 \uB2EE\uAC8C \uB418\uB294\uB370 \uC774\uB97C \uC6D0\uD658\uCCB4(\u5713\u74B0\u9AD4) \uB610\uB294 \uD1A0\uB85C\uC774\uB4DC(toroid)\uB77C\uACE0 \uD55C\uB2E4. \uC704\uC0C1\uC218\uD559\uC5D0\uC11C\uB294 \uC6D0\uD658\uBA74\uC740 \uB450 \uC6D0\uC758 \uACF1\uC9D1\uD569 \uACFC \uC704\uC0C1\uB3D9\uD615\uC774\uB2E4. \uB610\uD55C \uC885\uC218(genus) 2\uC758 2\uCC28\uC6D0 \uCF64\uD329\uD2B8 \uB2E4\uC591\uCCB4(compact 2-manifold)\uC774\uAE30\uB3C4 \uD558\uB2E4. \uC6D0\uD658\uBA74\uC740 \uC0BC\uCC28\uC6D0 \uC720\uD074\uB9AC\uB4DC \uACF5\uAC04\uC5D0 \uB9E4\uB9BD(embed) \uB41C\uB2E4. \uC601\uC5B4\uBA85 \u2018\uD1A0\uB7EC\uC2A4(torus)\u2019\uB294 \u2018\uBD80\uD482\u2019 \uB610\uB294 \u2018\uCFE0\uC158\u2019\uC744 \uC758\uBBF8\uD558\uB294 \uB77C\uD2F4\uC5B4 \uB2E8\uC5B4 \u2018\uD1A0\uB8E8\uC2A4(t\u014Frus)\u2019\uC5D0\uC11C \uC720\uB798\uD558\uC600\uB2E4."@ko .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Torus \u00E4r en matematisk kropp vars utseende i den vanliga tredimensionella varianten vanligen liknas vid en flottyrmunk. Den enklaste torusen inom matematiken \u00E4r en tv\u00E5dimensionell badringsformad yta, en delm\u00E4ngd av , som brukar betecknas T \u00B2. Liksom sf\u00E4ren \u00E4r den kompakt, medan den inte \u00E4r enkelt sammanh\u00E4ngande. Dess Eulerkarakteristik \u00E4r 0, dess genus \u00E4r 1. Exempel p\u00E5 parametrisering: x = (R + r cos(\u03C8)) cos(\u03C6)y = (R + r cos(\u03C8)) sin(\u03C6)z = r sin(\u03C8) (d\u00E4r 0 < r < R) Ett alternativt betraktelses\u00E4tt \u00E4r att l\u00E5ta torusen vara en delm\u00E4ngd av . Parametriseringen blir d\u00E5 n\u00E5got enklare: x = cos(\u03C8)y = sin(\u03C8)z = cos(\u03C6)t = sin(\u03C6) Detta eftersom torusen nu kan skrivas som en kartesisk produkt mellan tv\u00E5 cirklar, det vill s\u00E4ga T \u00B2 = S \u00B9 \u00D7 S \u00B9. Denna version kallas \u00E4ven \"den flata torusen\", eftersom Gausskr\u00F6kningen h\u00E4r \u00E4r konstant 0. Generaliseringar kan ske p\u00E5 flera olika s\u00E4tt: Dels genom att byta antalet dimensioner, vilket l\u00E4ttast beskrives l\u00E4ttast genom T n = S \u00B9 \u00D7 S \u00B9 ... \u00D7 S \u00B9 (denna torus \u00E4r d\u00E5 en delm\u00E4ngd av R2n); dels genom att g\u00F6ra flera h\u00E5l. Om ringens tv\u00E4rsnitt inte \u00E4r en cirkel utan en annan sluten kurva brukar man tala om en toroid. Torusen kan d\u00E5 ses som ett speciellt slag av toroid."@sv .
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<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Ein Torus (Plural Tori, von lateinisch torus) ist ein mathematisches Objekt aus der Geometrie und der Topologie. Er ist eine wulstartig geformte Fl\u00E4che mit einem Loch, hat also die Gestalt eines Rettungsrings, Fahrradschlauchs oder Donuts. Beispiele f\u00FCr im dreidimensionalen Raum eingebettete Tori sind die Rotationstori. Rotationstori sind Rotationsfl\u00E4chen, die man erh\u00E4lt, indem man einen Kreis um eine Achse rotieren l\u00E4sst, die in der Kreisebene liegt und den Kreis nicht schneidet. Falls man nicht nur die Kreislinie, sondern die gesamte Kreisfl\u00E4che rotieren l\u00E4sst, erh\u00E4lt man einen Volltorus."@de .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"In geometry, a torus (plural tori, colloquially donut or doughnut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is called a toroid, as in a square toroid. Real-world objects that approximate a torus of revolution include swim rings, inner tubes and ringette rings. Eyeglass lenses that combine spherical and cylindrical correction are toric lenses. A torus should not be confused with a solid torus, which is formed by rotating a disk, rather than a circle, around an axis. A solid torus is a torus plus the volume inside the torus. Real-world objects that approximate a solid torus include O-rings, non-inflatable lifebuoys, ring doughnuts, and bagels. In topology, a ring torus is homeomorphic to the Cartesian product of two circles: S1 \u00D7 S1, and the latter is taken to be the definition in that context. It is a compact 2-manifold of genus 1. The ring torus is one way to embed this space into Euclidean space, but another way to do this is the Cartesian product of the embedding of S1 in the plane with itself. This produces a geometric object called the Clifford torus, a surface in 4-space. In the field of topology, a torus is any topological space that is homeomorphic to a torus. The surface of a coffee cup and a doughnut are both topological tori with genus one. An example of a torus can be constructed by taking a rectangular strip of flexible material, for example, a rubber sheet, and joining the top edge to the bottom edge, and the left edge to the right edge, without any half-twists (compare M\u00F6bius strip)."@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"\u0627\u0644\u0637\u0627\u0631\u0629 (\u0623\u0648 \u0627\u0644\u0633\u0637\u062D \u0627\u0644\u062D\u0644\u0642\u064A) \u0641\u064A \u0627\u0644\u0647\u0646\u062F\u0633\u0629 \u0647\u0648 \u0633\u0637\u062D \u062F\u0648\u0631\u0627\u0646\u064A \u0641\u064A \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0625\u0642\u0644\u064A\u062F\u064A \u064A\u0646\u062A\u062C \u0628\u062F\u0648\u0631\u0627\u0646 \u062F\u0627\u0626\u0631\u0629 \u062D\u0648\u0644 \u062E\u0637 \u0645\u0633\u062A\u0642\u064A\u0645"@ar .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"\u03A3\u03C4\u03B7 \u03B3\u03B5\u03C9\u03BC\u03B5\u03C4\u03C1\u03AF\u03B1, o \u03C4\u03CC\u03C1\u03BF\u03C2 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03AD\u03BD\u03B1 \u03C3\u03C4\u03B5\u03C1\u03B5\u03CC \u03B5\u03BA \u03C0\u03B5\u03C1\u03B9\u03C3\u03C4\u03C1\u03BF\u03C6\u03AE\u03C2 \u03C0\u03BF\u03C5 \u03C0\u03B1\u03C1\u03AC\u03B3\u03B5\u03C4\u03B1\u03B9 \u03B1\u03C0\u03CC \u03C4\u03B7\u03BD \u03C0\u03B5\u03C1\u03B9\u03C3\u03C4\u03C1\u03BF\u03C6\u03AE \u03B5\u03BD\u03CC\u03C2 \u03BA\u03CD\u03BA\u03BB\u03BF\u03C5 \u03C3\u03C4\u03BF\u03BD \u03C4\u03C1\u03B9\u03C3\u03B4\u03B9\u03AC\u03C3\u03C4\u03B1\u03C4\u03BF \u03C7\u03CE\u03C1\u03BF \u03B3\u03CD\u03C1\u03C9 \u03B1\u03C0\u03CC \u03AD\u03BD\u03B1\u03BD \u03AC\u03BE\u03BF\u03BD\u03B1 \u03BC\u03B5 \u03C4\u03BF\u03BD \u03BA\u03CD\u03BA\u03BB\u03BF. \u03A3\u03C5\u03BD\u03AE\u03B8\u03C9\u03C2 \u03BF \u03AC\u03BE\u03BF\u03BD\u03B1\u03C2 \u03B4\u03B5\u03BD \u03C4\u03AD\u03BC\u03BD\u03B5\u03B9 \u03BF\u03CD\u03C4\u03B5 \u03B5\u03C6\u03AC\u03C0\u03C4\u03B5\u03C4\u03B1\u03B9 \u03BC\u03B5 \u03C4\u03BF\u03BD \u03BA\u03CD\u03BA\u03BB\u03BF, \u03BF\u03C0\u03CC\u03C4\u03B5 \u03C3\u03B5 \u03B1\u03C5\u03C4\u03AE \u03C4\u03B7\u03BD \u03C0\u03B5\u03C1\u03AF\u03C0\u03C4\u03C9\u03C3\u03B7 \u03B7 \u03B5\u03C0\u03B9\u03C6\u03AC\u03BD\u03B5\u03B9\u03B1 \u03AD\u03C7\u03B5\u03B9 \u03C3\u03C7\u03AE\u03BC\u03B1 \u03B4\u03B1\u03BA\u03C4\u03C5\u03BB\u03B9\u03BF\u03B5\u03B9\u03B4\u03AD\u03C2 \u03BA\u03B1\u03B9 \u03BA\u03B1\u03BB\u03B5\u03AF\u03C4\u03B1\u03B9 \u03B4\u03B1\u03BA\u03C4\u03C5\u03BB\u03B9\u03BF\u03B5\u03B9\u03B4\u03AE\u03C2 \u03C4\u03CC\u03C1\u03BF\u03C2, \u03AE \u03B1\u03C0\u03BB\u03AC \u03C4\u03CC\u03C1\u03BF\u03C2 \u03BA\u03B1\u03B9 \u03C5\u03C0\u03BF\u03BD\u03BF\u03B5\u03AF\u03C4\u03B1\u03B9 \u03C3\u03B9\u03C9\u03C0\u03B7\u03C1\u03AC \u03CC\u03C4\u03B9 \u03AD\u03C7\u03B5\u03B9 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\u03AD\u03BD\u03B1 \u03B3\u03B5\u03C9\u03BC\u03B5\u03C4\u03C1\u03B9\u03BA\u03CC \u03B1\u03BD\u03C4\u03B9\u03BA\u03B5\u03AF\u03BC\u03B5\u03BD\u03BF \u03C0\u03BF\u03C5 \u03BF\u03BD\u03BF\u03BC\u03AC\u03B6\u03B5\u03C4\u03B1\u03B9 , \u03BC\u03B9\u03B1 \u03B5\u03C0\u03B9\u03C6\u03AC\u03BD\u03B5\u03B9\u03B1 . \u0397 \u03BB\u03AD\u03BE\u03B7 \u03C4\u03CC\u03C1\u03BF\u03C2 \u03C0\u03C1\u03BF\u03AD\u03C1\u03C7\u03B5\u03C4\u03B1\u03B9 \u03B1\u03C0\u03CC \u03C4\u03B7\u03BD \u03BB\u03B1\u03C4\u03B9\u03BD\u03B9\u03BA\u03AE \u03BB\u03AD\u03BE\u03B7 torus, \u03C0\u03BF\u03C5 \u03C3\u03B7\u03BC\u03B1\u03AF\u03BD\u03B5\u03B9 \u03BC\u03B1\u03BE\u03B9\u03BB\u03AC\u03C1\u03B9."@el .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Symmetric_group> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Volume> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://scn.dbpedia.org/resource/Toru_(giometr\u00ECa)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Villarceau_circles> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Toroidal_monohedron.png> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Duocylinder_ridge_animated.gif> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/caption>	": self-intersecting spindle torus"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Embedding> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"En geometr\u00EDa, un toro es un tipo concreto de toroide cuya superficie de revoluci\u00F3n es generada por una circunferencia que gira alrededor de una recta exterior coplanaria (en su plano y que no la corta) o, llanamente, la superficie tridimensional que resulta de hacer girar una circunferencia alrededor de un eje que no la corta. La palabra \u00ABtoro\u00BB proviene del lat\u00EDn torus, que significa \u00ABprotuberancia\u00BB, \u00ABelevaci\u00F3n curva\u00BB (relacionado con lat\u00EDn \"sterno\" y griego \u03C3\u03C4\u03BF\u03C1\u03AD\u03BD\u03BD\u03C5\u03BC\u03B9, romanizado stor\u00E9nnymi) y que ya en lat\u00EDn adquiere sentidos t\u00E9cnicos para designar objetos con esta forma geom\u00E9trica espec\u00EDfica, por ejemplo en arquitectura (Vitr.3.3.8), donde designa el \u00ABbocel\u00BB o \u00ABmurecillo\u00BB, que es una moldura redondeada de la base, con forma de hogaza de pan.\u200BMuchos objetos cotidianos tienen forma de tor"@es .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Fundamental_group> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Torus-based_cryptography> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Circle> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Exterior_algebra> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Torus_from_rectangle.gif> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Clifford-torus.gif> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Sa gheoim\u00E9adracht, is dromchla imrothlaithe \u00E9 t\u00F3ras , taoschn\u00F3 a thugtar air sa ghn\u00E1thchaint, a ghintear tr\u00ED chiorcal a imrothl\u00FA i sp\u00E1s tr\u00EDthoiseach thart ar ais at\u00E1 ar comhphl\u00E1na leis an gciorcal.Mura nd\u00E9anann an ais imrothlaithe teagmh\u00E1il leis an gciorcal, b\u00EDonn se i bhfoirm f\u00E1inne ag an dromchla agus tugtar t\u00F3ras imrothlaithe air. M\u00E1 t\u00E1 an ais imrothlaithe tadhla\u00EDoch leis an gciorcal, is t\u00F3ras adhairce \u00E9. M\u00E1 th\u00E9ann an ais imrothlaithe dh\u00E1 uair tr\u00EDd an gciorcal, is t\u00F3ras fearsaide \u00E9 an dromchla. M\u00E1 th\u00E9ann an ais imrothlaithe tr\u00ED l\u00E1r an chiorcail, is t\u00F3ras d\u00EDchine\u00E1lach \u00E9 an dromchla, sf\u00E9ar d\u00E9chl\u00FAdaithe. Mura ciorcal \u00E9 an cuar imrothlach, is cruth gaolmhar \u00E9 an dromchla, tor\u00F3id."@ga .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://az.dbpedia.org/resource/Tor_(h\u0259nd\u0259si_fiqur)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Toro (geometria)"@it .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Toru"@eu .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Torus \u00E4r en matematisk kropp vars utseende i den vanliga tredimensionella varianten vanligen liknas vid en flottyrmunk. Den enklaste torusen inom matematiken \u00E4r en tv\u00E5dimensionell badringsformad yta, en delm\u00E4ngd av , som brukar betecknas T \u00B2. Liksom sf\u00E4ren \u00E4r den kompakt, medan den inte \u00E4r enkelt sammanh\u00E4ngande. Dess Eulerkarakteristik \u00E4r 0, dess genus \u00E4r 1. Exempel p\u00E5 parametrisering: x = (R + r cos(\u03C8)) cos(\u03C6)y = (R + r cos(\u03C8)) sin(\u03C6)z = r sin(\u03C8) (d\u00E4r 0 < r < R) Ett alternativt betraktelses\u00E4tt \u00E4r att l\u00E5ta torusen vara en delm\u00E4ngd av . Parametriseringen blir d\u00E5 n\u00E5got enklare:"@sv .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/header>	"vertical cross-sections"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Fundamental_polygon> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://d-nb.info/gnd/4185738-0> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/alt>	"horn"@en .
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<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\uAE30\uD558\uD559\uC5D0\uC11C \uC6D0\uD658\uBA74(\u5713\u74B0\u9762) \uB610\uB294 \uD1A0\uB7EC\uC2A4(\uC601\uC5B4: torus)\uB780 \uC6D0\uC744 \uC0BC\uCC28\uC6D0 \uACF5\uAC04 \uC0C1\uC5D0\uC11C \uC6D0\uC744 \uD3EC\uD568\uD558\uB294 \uD3C9\uBA74 \uC704\uC758 \uC9C1\uC120\uC744 \uCD95\uC73C\uB85C \uD68C\uC804\uD558\uC5EC \uB9CC\uB4E0 \uD68C\uC804\uBA74(surface of revolution)\uC774\uB2E4. \uB300\uBD80\uBD84\uC758 \uAD50\uACFC\uC11C\uC5D0\uC11C\uB294 \uC774 \uC9C1\uC120\uC774 \uC6D0\uACFC \uB9CC\uB098\uC9C0 \uC54A\uC74C\uC744 \uAC00\uC815\uD55C\uB2E4. \uC6D0\uD658\uBA74\uC744 \uD45C\uBA74\uC73C\uB85C \uD558\uB294 \uC785\uCCB4\uB294 \uB3C4\uB11B\uC758 \uBAA8\uC591\uC744 \uB2EE\uAC8C \uB418\uB294\uB370 \uC774\uB97C \uC6D0\uD658\uCCB4(\u5713\u74B0\u9AD4) \uB610\uB294 \uD1A0\uB85C\uC774\uB4DC(toroid)\uB77C\uACE0 \uD55C\uB2E4. \uC704\uC0C1\uC218\uD559\uC5D0\uC11C\uB294 \uC6D0\uD658\uBA74\uC740 \uB450 \uC6D0\uC758 \uACF1\uC9D1\uD569 \uACFC \uC704\uC0C1\uB3D9\uD615\uC774\uB2E4. \uB610\uD55C \uC885\uC218(genus) 2\uC758 2\uCC28\uC6D0 \uCF64\uD329\uD2B8 \uB2E4\uC591\uCCB4(compact 2-manifold)\uC774\uAE30\uB3C4 \uD558\uB2E4. \uC6D0\uD658\uBA74\uC740 \uC0BC\uCC28\uC6D0 \uC720\uD074\uB9AC\uB4DC \uACF5\uAC04\uC5D0 \uB9E4\uB9BD(embed) \uB41C\uB2E4. \uC601\uC5B4\uBA85 \u2018\uD1A0\uB7EC\uC2A4(torus)\u2019\uB294 \u2018\uBD80\uD482\u2019 \uB610\uB294 \u2018\uCFE0\uC158\u2019\uC744 \uC758\uBBF8\uD558\uB294 \uB77C\uD2F4\uC5B4 \uB2E8\uC5B4 \u2018\uD1A0\uB8E8\uC2A4(t\u014Frus)\u2019\uC5D0\uC11C \uC720\uB798\uD558\uC600\uB2E4."@ko .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In geometry, a torus (plural tori, colloquially donut or doughnut) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is called a toroid, as in a square toroid."@en .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Solid_torus> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Complex_coordinate_space> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Four_color_theorem> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fr.dbpedia.org/resource/Tore> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Pappus\u0027s_centroid_theorem> .
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<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Een torus (meervoud: tori of torussen) is een driedimensionaal omwentelingslichaam, dat ontstaat door een cirkel te wentelen om een lijn die zich in het vlak van de cirkel bevindt. Als deze lijn de cirkel niet snijdt of raakt, is het resultaat een open torus welke ringvormig is, of vergelijkbaar met de binnenband van een fiets. Het oppervlak van een open torus is: 4 \u03C02 r R De inhoud van een open torus is: 2 \u03C02 r2 R De cartesische vergelijking wordt gegeven door: Een mogelijke parametrisatie van een torus rond de z-as is waar zowel u als v vari\u00EBren van 0 tot 2\u03C0."@nl .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Ein Torus (Plural Tori, von lateinisch torus) ist ein mathematisches Objekt aus der Geometrie und der Topologie. Er ist eine wulstartig geformte Fl\u00E4che mit einem Loch, hat also die Gestalt eines Rettungsrings, Fahrradschlauchs oder Donuts. Beispiele f\u00FCr im dreidimensionalen Raum eingebettete Tori sind die Rotationstori. Rotationstori sind Rotationsfl\u00E4chen, die man erh\u00E4lt, indem man einen Kreis um eine Achse rotieren l\u00E4sst, die in der Kreisebene liegt und den Kreis nicht schneidet. Falls man nicht nur die Kreislinie, sondern die gesamte Kreisfl\u00E4che rotieren l\u00E4sst, erh\u00E4lt man einen Volltorus. Anders ausgedr\u00FCckt wird ein Rotationstorus aus derjenigen Menge an Punkten gebildet, die von einer Kreislinie mit Radius den festen Abstand mit haben. Ein Torus kann auch durch Identifizieren der Seiten eines Parallelogramms konstruiert werden. Dabei wird die rechte Kante des Parallelogramms mit seiner linken Kante und die obere mit der unteren Kante verheftet. Diese Topologie benutzen auch viele Computerspiele: Verl\u00E4sst ein Spielobjekt auf einer Seite das Spielfeld, so taucht es auf der gegen\u00FCberliegenden Seite wieder auf. Beide Konstruktionen sind Spezialf\u00E4lle der allgemeinen mathematischen Definition, die einen Torus als das topologische Produkt zweier Kreise definiert. Dieser Begriff spielt in zahlreichen Gebieten der Mathematik eine Rolle, neben Topologie und Differentialgeometrie ist er unter anderem in der Fourier-Analysis, der Theorie dynamischer Systeme (invariante Tori in der Himmelsmechanik), der Funktionentheorie und der Theorie elliptischer Kurven von Bedeutung. Rotationstori liefern eine konkrete rotationssymmetrische Realisierung dieser Fl\u00E4che im dreidimensionalen euklidischen Raum. Von besonderer Wichtigkeit f\u00FCr viele Anwendungen in theoretischer Mathematik und Physik sind sogenannte flache Tori und ihre Einbettung in den vierdimensionalen Raum. Diese haben die Kr\u00FCmmung null und die maximal m\u00F6gliche Symmetrie. Der Torus ist eine zweidimensionale Fl\u00E4che. Allgemeiner betrachtet man in der Mathematik auch den -Torus, eine den zweidimensionalen Torus verallgemeinernde -dimensionale Mannigfaltigkeit. Davon abweichend finden sich in der deutschsprachigen Literatur gelegentlich auch die Bezeichnungen Doppeltorus, Tripeltorus etc. f\u00FCr Fl\u00E4chen mit zwei, drei und mehr L\u00F6chern."@de .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Mapping_class_group> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Un tore est un solide g\u00E9om\u00E9trique repr\u00E9sentant un tube courb\u00E9 referm\u00E9 sur lui-m\u00EAme. Le terme \u00AB tore \u00BB comporte diff\u00E9rentes acceptions plus sp\u00E9cifiques selon le contexte : \n* en ing\u00E9nierie ou en g\u00E9om\u00E9trie \u00E9l\u00E9mentaire, un tore est un solide de r\u00E9volution de l'espace obtenu \u00E0 partir d'un cercle, ou bien sa surface. Une chambre \u00E0 air, une bou\u00E9e, certains joints d'\u00E9tanch\u00E9it\u00E9 ou encore certains beignets (les donuts nord-am\u00E9ricains) ont ainsi une forme plus ou moins torique ; \n* en architecture, un tore correspond \u00E0 une moulure ronde, semi-cylindrique. Article d\u00E9taill\u00E9 : Tore (architecture). \n* en math\u00E9matiques, plus particuli\u00E8rement en topologie, un tore est un quotient d'un espace vectoriel r\u00E9el de dimension finie par un r\u00E9seau, ou tout espace topologique qui lui est hom\u00E9omorphe. La surface du solide de r\u00E9volution d\u00E9crit ci-dessus est g\u00E9n\u00E9ralement hom\u00E9omorphe \u00E0 (R/Z)\u00D7(R/Z), exception faite des cas d\u00E9g\u00E9n\u00E9r\u00E9s. \n* en \u00E9lectronique, un tore magn\u00E9tique a constitu\u00E9 l'\u00E9l\u00E9ment de base des m\u00E9moires des ordinateurs de seconde g\u00E9n\u00E9ration. \n* en astronomie, un tore peut \u00EAtre un anneau plan\u00E9taire ou satellitaire ."@fr .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Maximal_torus> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Toro estas ringoforma surfaco formita de cirklo, kiu turni\u011Das \u0109irka\u016D akso samebena. Se la akso sekcas la cirklon (estas \u015Dnuro de la cirklo), naski\u011Das surfaco, kiu ne aspektas ringo sed pli similas al kuseno kun maldika mezo. En la tre speciala kazo kiam la akso trairas la centron de la cirklo (estas ties diametro), naski\u011Das sfero. Normale oni nomas toro nur la surfacon kiu havas formon de ringo, sed eblas rigardi la kusenforma\u0135on kaj la sferon kiel specialajn kazojn de toro. La geometria parametra ekvacio de toro estas: La figuro formita el spaco limigita de toro nomi\u011Das"@eo .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.math.cornell.edu/~hatcher/AT/ATpage.html> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/caption>	": horn torus"@en .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Toroidal_and_poloidal> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Cut-the-knot> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Torus (t\u00E9\u017E anuloid) je rota\u010Dn\u00ED plocha, kter\u00E1 vznikne ot\u00E1\u010Den\u00EDm kru\u017Enice kolem osy, kter\u00E1 le\u017E\u00ED ve stejn\u00E9 rovin\u011B a nem\u00E1 s n\u00ED spole\u010Dn\u00E9 body. Tento tvar m\u00E1 nap\u0159\u00EDklad vzdu\u0161nice (du\u0161e) pneumatiky nebo nafukovac\u00ED kruh. V architektu\u0159e ozna\u010Duje torus (\u010Desky obloun) obl\u00FD kruhov\u00FD v\u00FDstupek hlavice sloupu, protikladem je trochilus, v\u00FD\u017Elabek."@cs .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Equilateral_triangle> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/direction>	"vertical"@en .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u0422\u043E\u0440 (\u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0456\u044F)"@uk .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Quotient_space_(topology)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/De_Bruijn_sequence> .
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<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#differentFrom>	<http://dbpedia.org/resource/Taurus_(disambiguation)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fi.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://th.dbpedia.org/resource/\u0E17\u0E2D\u0E23\u0E31\u0E2A_(\u0E40\u0E23\u0E02\u0E32\u0E04\u0E13\u0E34\u0E15)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<https://global.dbpedia.org/id/HbUB> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sq.dbpedia.org/resource/Torusi> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"\uC6D0\uD658\uBA74"@ko .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Main> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Stereographic_projection> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Geometrian, torua (latinezko torus hitzetik) biraketa-gainazal bat da, zirkunferentzia batek haren dagoen zuzen baten inguruan bira egitean sortzen duena. Hitz arruntagoetan, esan liteke pneumatiko baten aire-ganberaren forma duela toruak. Toroidearen kasu berezi bat da. Zuzenak (errotazio-ardatza) zirkunferentzia ukitzen edo ebakitzen ez badu, toruak hutsune bat du erdian, eta eraztun baten antza du. Bestela, errotazio-ardatza zirkunferentziaren korda bat bada, esfera zapal baten antzeko zerbait sortzen da, kuxin biribil baten itxurakoa; are gehiago: esfera toruaren kasu berezi bat da, errotazio-ardatza zirkunferentziaren diametro bat denean. Definizio orokorrago baten arabera, toruaren sortzailea, zirkunferentzia bat ez ezik, elipse bat edo beste kurba koniko bat ere izan daiteke."@eu .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Fractal> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Lie_group> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://www.youtube.com/watch%3Fv=3_VydFQmtZ8> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/alt>	"ring"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Congruence_(geometry)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Torus"@cs .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/caption>	": ring torus or anchor ring"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Double_torus> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Torus"@in .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://vi.dbpedia.org/resource/H\u00ECnh_xuy\u1EBFn> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In geometria il toro (dal latino torus, cuscino a forma di ciambella) \u00E8 una superficie di rotazione ottenuta dalla rivoluzione di una circonferenza in uno spazio tridimensionale intorno a un asse ad essa complanare."@it .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Toroidal_monohedron.png> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u73AF\u9762"@zh .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Torus \u2013 dwuwymiarowa powierzchnia obrotowa zanurzalna w przestrzeni tr\u00F3jwymiarowej, powsta\u0142a przez obr\u00F3t okr\u0119gu wok\u00F3\u0142 prostej le\u017C\u0105cej w p\u0142aszczy\u017Anie tego okr\u0119gu i nieprzecinaj\u0105cej go. Cz\u0119sto oznacza si\u0119 go symbolem lub Wyobra\u017Ceniem torusa mo\u017Ce by\u0107 napompowana d\u0119tka rowerowa lub powierzchnia obwarzanka."@pl .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u5728\u51E0\u4F55\u4E0A\uFF0C\u4E00\u4E2A\u73AF\u9762\u662F\u4E00\u4E2A\u624B\u956F\u5F62\u72B6\u7684\u65CB\u8F6C\u66F2\u9762\uFF0C\u7531\u4E00\u4E2A\u5706\u7ED5\u4E00\u4E2A\u548C\u8BE5\u5706\u5171\u9762\u7684\u4E00\u4E2A\u8F74\u56DE\u8F6C\u6240\u751F\u6210\u3002\u7403\u9762\u53EF\u4EE5\u89C6\u4E3A\u73AF\u9762\u7684\u7279\u6B8A\u60C5\u51B5\uFF0C\u4E5F\u5C31\u662F\u65CB\u8F6C\u8F74\u662F\u8BE5\u5706\u7684\u76F4\u5F84\u65F6\u3002\u82E5\u8F6C\u8F74\u548C\u5706\u4E0D\u76F8\u4EA4\uFF0C\u5706\u9762\u4E2D\u95F4\u6709\u4E00\u4E2A\u6D1E\uFF0C\u5C31\u50CF\u4E00\u4E2A\u624B\u956F\u3001\u751C\u751C\u5708\u3001\u547C\u5566\u5708\uFF0C\u6216\u8005\u4E00\u4E2A\u5145\u4E86\u6C14\u7684\u8F6E\u80CE\u3002\u53E6\u4E00\u4E2A\u60C5\u51B5\uFF0C\u4E5F\u5C31\u662F\u8F74\u662F\u5706\u7684\u4E00\u6839\u5F26\u7684\u65F6\u5019\uFF0C\u5C31\u4EA7\u751F\u4E00\u4E2A\u6324\u6241\u4E86\u7684\u7403\u9762\uFF0C\u5C31\u50CF\u4E00\u4E2A\u5706\u7684\u5EA7\u57AB\u90A3\u6837\u3002\u82F1\u6587Torus\u66FE\u662F\u62C9\u4E01\u6587\u7684\u8FD9\u79CD\u5F62\u72B6\u7684\u5EA7\u57AB\u3002"@zh .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Mvar> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Torus"@sv .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://el.dbpedia.org/resource/\u03A4\u03CC\u03C1\u03BF\u03C2> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Hurewicz_theorem> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://tofique.fatehi.us/Mathematics/Polydoes/polydoes.html> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Further> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"In geometria il toro (dal latino torus, cuscino a forma di ciambella) \u00E8 una superficie di rotazione ottenuta dalla rivoluzione di una circonferenza in uno spazio tridimensionale intorno a un asse ad essa complanare."@it .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Duocylinder_ridge_animated.gif> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Swim_ring> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Elliptic_curve> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Em> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Hexagonal_torus.png> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Ramification_point> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Dupin_cyclide> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u0422\u043E\u0440 \u2014 \u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u0447\u043D\u0435 \u0442\u0456\u043B\u043E, \u0449\u043E \u0443\u0442\u0432\u043E\u0440\u044E\u0454\u0442\u044C\u0441\u044F \u043E\u0431\u0435\u0440\u0442\u0430\u043D\u043D\u044F\u043C \u043A\u043E\u043B\u0430 \u043D\u0430\u0432\u043A\u043E\u043B\u043E \u043E\u0441\u0456, \u043A\u043E\u0442\u0440\u0430 \u043B\u0435\u0436\u0438\u0442\u044C \u0443 \u043E\u0434\u043D\u0456\u0439 \u043F\u043B\u043E\u0449\u0438\u043D\u0456 \u0437 \u043A\u043E\u043B\u043E\u043C, \u0430\u043B\u0435 \u043D\u0435 \u043F\u0435\u0440\u0435\u0442\u0438\u043D\u0430\u0454 \u0439\u043E\u0433\u043E. \u0424\u043E\u0440\u043C\u0430 \u0442\u043E\u0440\u0430 \u0437\u043E\u0432\u043D\u0456 \u043D\u0430\u0433\u0430\u0434\u0443\u0454 \u0431\u0443\u0431\u043B\u0438\u043A."@uk .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Twist_(mathematics)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Product_topology> .
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<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://hy.dbpedia.org/resource/\u054F\u0578\u0580_(\u0574\u0561\u056F\u0565\u0580\u0587\u0578\u0582\u0575\u0569)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Group_action_(mathematics)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://he.dbpedia.org/resource/\u05D8\u05D5\u05E8\u05D5\u05E1> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Isometry> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Unit_square> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Hypercube> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Moebius_Surface_1_Display_Small.png> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Compact_Lie_group> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Triple_torus_illustration.png> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Wiktionary> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Compact_space> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Tore"@fr .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Torus.svg> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ca.dbpedia.org/resource/Tor_(geometria)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Brady_Haran> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Torus_knot> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Surface_of_revolution> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://bg.dbpedia.org/resource/\u0422\u043E\u0440_(\u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u044F)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Spiric_section> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.cut-the-knot.org/shortcut.shtml> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u03A3\u03C4\u03B7 \u03B3\u03B5\u03C9\u03BC\u03B5\u03C4\u03C1\u03AF\u03B1, o \u03C4\u03CC\u03C1\u03BF\u03C2 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03AD\u03BD\u03B1 \u03C3\u03C4\u03B5\u03C1\u03B5\u03CC \u03B5\u03BA \u03C0\u03B5\u03C1\u03B9\u03C3\u03C4\u03C1\u03BF\u03C6\u03AE\u03C2 \u03C0\u03BF\u03C5 \u03C0\u03B1\u03C1\u03AC\u03B3\u03B5\u03C4\u03B1\u03B9 \u03B1\u03C0\u03CC \u03C4\u03B7\u03BD \u03C0\u03B5\u03C1\u03B9\u03C3\u03C4\u03C1\u03BF\u03C6\u03AE \u03B5\u03BD\u03CC\u03C2 \u03BA\u03CD\u03BA\u03BB\u03BF\u03C5 \u03C3\u03C4\u03BF\u03BD \u03C4\u03C1\u03B9\u03C3\u03B4\u03B9\u03AC\u03C3\u03C4\u03B1\u03C4\u03BF \u03C7\u03CE\u03C1\u03BF \u03B3\u03CD\u03C1\u03C9 \u03B1\u03C0\u03CC \u03AD\u03BD\u03B1\u03BD \u03AC\u03BE\u03BF\u03BD\u03B1 \u03BC\u03B5 \u03C4\u03BF\u03BD \u03BA\u03CD\u03BA\u03BB\u03BF. \u03A3\u03C5\u03BD\u03AE\u03B8\u03C9\u03C2 \u03BF \u03AC\u03BE\u03BF\u03BD\u03B1\u03C2 \u03B4\u03B5\u03BD \u03C4\u03AD\u03BC\u03BD\u03B5\u03B9 \u03BF\u03CD\u03C4\u03B5 \u03B5\u03C6\u03AC\u03C0\u03C4\u03B5\u03C4\u03B1\u03B9 \u03BC\u03B5 \u03C4\u03BF\u03BD \u03BA\u03CD\u03BA\u03BB\u03BF, \u03BF\u03C0\u03CC\u03C4\u03B5 \u03C3\u03B5 \u03B1\u03C5\u03C4\u03AE \u03C4\u03B7\u03BD \u03C0\u03B5\u03C1\u03AF\u03C0\u03C4\u03C9\u03C3\u03B7 \u03B7 \u03B5\u03C0\u03B9\u03C6\u03AC\u03BD\u03B5\u03B9\u03B1 \u03AD\u03C7\u03B5\u03B9 \u03C3\u03C7\u03AE\u03BC\u03B1 \u03B4\u03B1\u03BA\u03C4\u03C5\u03BB\u03B9\u03BF\u03B5\u03B9\u03B4\u03AD\u03C2 \u03BA\u03B1\u03B9 \u03BA\u03B1\u03BB\u03B5\u03AF\u03C4\u03B1\u03B9 \u03B4\u03B1\u03BA\u03C4\u03C5\u03BB\u03B9\u03BF\u03B5\u03B9\u03B4\u03AE\u03C2 \u03C4\u03CC\u03C1\u03BF\u03C2, \u03AE \u03B1\u03C0\u03BB\u03AC \u03C4\u03CC\u03C1\u03BF\u03C2 \u03BA\u03B1\u03B9 \u03C5\u03C0\u03BF\u03BD\u03BF\u03B5\u03AF\u03C4\u03B1\u03B9 \u03C3\u03B9\u03C9\u03C0\u03B7\u03C1\u03AC \u03CC\u03C4\u03B9 \u03AD\u03C7\u03B5\u03B9 \u03B4\u03B1\u03BA\u03C4\u03C5\u03BB\u03B9\u03BF\u03B5\u03B9\u03B4\u03AD\u03C2 \u03C3\u03C7\u03AE\u03BC\u03B1. \u039F\u03C1\u03B9\u03C3\u03BC\u03AD\u03BD\u03B5\u03C2 \u03C6\u03BF\u03C1\u03AD\u03C2 \u03BA\u03B1\u03BB\u03B5\u03AF\u03C4\u03B1\u03B9 (\u03BB\u03B1\u03BD\u03B8\u03B1\u03C3\u03BC\u03AD\u03BD\u03B1) \u03B4\u03B1\u03BA\u03C4\u03CD\u03BB\u03B9\u03BF\u03C2, \u03C9\u03C3\u03C4\u03CC\u03C3\u03BF \u03BF \u03B4\u03B1\u03BA\u03C4\u03CD\u03BB\u03B9\u03BF\u03C2 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03AD\u03BD\u03B1 \u03B4\u03B9\u03C3\u03B4\u03B9\u03AC\u03C3\u03C4\u03B1\u03C4\u03BF \u03B5\u03C0\u03AF\u03C0\u03B5\u03B4\u03BF \u03C3\u03C7\u03AE\u03BC\u03B1 \u03B4\u03B9\u03B1\u03C6\u03BF\u03C1\u03B5\u03C4\u03B9\u03BA\u03CC \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u03C4\u03C1\u03B9\u03C3\u03B4\u03B9\u03AC\u03C3\u03C4\u03B1\u03C4\u03BF \u03C4\u03CC\u03C1\u03BF. \u0397 \u03BB\u03AD\u03BE\u03B7 \u03C4\u03CC\u03C1\u03BF\u03C2 \u03C0\u03C1\u03BF\u03AD\u03C1\u03C7\u03B5\u03C4\u03B1\u03B9 \u03B1\u03C0\u03CC \u03C4\u03B7\u03BD \u03BB\u03B1\u03C4\u03B9\u03BD\u03B9\u03BA\u03AE \u03BB\u03AD\u03BE\u03B7 torus, \u03C0\u03BF\u03C5 \u03C3\u03B7\u03BC\u03B1\u03AF\u03BD\u03B5\u03B9 \u03BC\u03B1\u03BE\u03B9\u03BB\u03AC\u03C1\u03B9."@el .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Axis_of_revolution> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Torus"@nl .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Aspect_ratio> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/header>	"Bottom-halves and"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Interior_(topology)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Genus_(mathematics)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://web.archive.org/web/20140128170125/http:/www.youtube.com/watch%3Fv=3_VydFQmtZ8&gl=US&hl=en> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Connected_space> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Torus"@de .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u03A4\u03CC\u03C1\u03BF\u03C2"@el .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Connected_sum> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Triple_torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Real_projective_plane> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Four-dimensional_space> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Fiber_bundle> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Irrational_winding_of_a_torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Module_(mathematics)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Magnetic_confinement_fusion> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://viewstl.com/classic/%3Fembedded&url=http:/upload.wikimedia.org/wikipedia/commons/1/1e/De_bruijn_torus_3x3.stl&bgcolor=black%7C> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Torus_cycles.svg> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ga.dbpedia.org/resource/T\u00F3ras> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Heawood_number> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fa.dbpedia.org/resource/\u0686\u0646\u0628\u0631\u0647> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Torus \u2013 dwuwymiarowa powierzchnia obrotowa zanurzalna w przestrzeni tr\u00F3jwymiarowej, powsta\u0142a przez obr\u00F3t okr\u0119gu wok\u00F3\u0142 prostej le\u017C\u0105cej w p\u0142aszczy\u017Anie tego okr\u0119gu i nieprzecinaj\u0105cej go. Cz\u0119sto oznacza si\u0119 go symbolem lub Wyobra\u017Ceniem torusa mo\u017Ce by\u0107 napompowana d\u0119tka rowerowa lub powierzchnia obwarzanka."@pl .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Disk_(geometry)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Topology> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://zh.dbpedia.org/resource/\u73AF\u9762> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/3-torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Torus (t\u00E9\u017E anuloid) je rota\u010Dn\u00ED plocha, kter\u00E1 vznikne ot\u00E1\u010Den\u00EDm kru\u017Enice kolem osy, kter\u00E1 le\u017E\u00ED ve stejn\u00E9 rovin\u011B a nem\u00E1 s n\u00ED spole\u010Dn\u00E9 body. Tento tvar m\u00E1 nap\u0159\u00EDklad vzdu\u0161nice (du\u0161e) pneumatiky nebo nafukovac\u00ED kruh. V architektu\u0159e ozna\u010Duje torus (\u010Desky obloun) obl\u00FD kruhov\u00FD v\u00FDstupek hlavice sloupu, protikladem je trochilus, v\u00FD\u017Elabek."@cs .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Boundary_(topology)> .
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<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sl.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://xmlns.com/foaf/0.1/depiction>	<http://commons.wikimedia.org/wiki/Special:FilePath/Projection_color_torus.png> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Toro ou tor\u00F3ide \u00E9 um espa\u00E7o topol\u00F3gico homeomorfo ao produto de dois c\u00EDrculos. Apresenta o formato aproximado de uma c\u00E2mara de pneu. Em geometria, pode ser definido como o lugar geom\u00E9trico tridimensional formado pela rota\u00E7\u00E3o de uma superf\u00EDcie circular plana de raio r, em torno de uma circunfer\u00EAncia de raio R."@pt .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:ISBN> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Un tore est un solide g\u00E9om\u00E9trique repr\u00E9sentant un tube courb\u00E9 referm\u00E9 sur lui-m\u00EAme. Le terme \u00AB tore \u00BB comporte diff\u00E9rentes acceptions plus sp\u00E9cifiques selon le contexte : \n* en ing\u00E9nierie ou en g\u00E9om\u00E9trie \u00E9l\u00E9mentaire, un tore est un solide de r\u00E9volution de l'espace obtenu \u00E0 partir d'un cercle, ou bien sa surface. Une chambre \u00E0 air, une bou\u00E9e, certains joints d'\u00E9tanch\u00E9it\u00E9 ou encore certains beignets (les donuts nord-am\u00E9ricains) ont ainsi une forme plus ou moins torique ; \n* en architecture, un tore correspond \u00E0 une moulure ronde, semi-cylindrique. Article d\u00E9taill\u00E9 : Tore (architecture). \n* en math\u00E9matiques, plus particuli\u00E8rement en topologie, un tore est un quotient d'un espace vectoriel r\u00E9el de dimension finie par un r\u00E9seau, ou tout espace topologique qui lui est hom\u00E9omorphe. La surface du "@fr .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://es.dbpedia.org/resource/Toro_(geometr\u00EDa)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:Cn> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/File:Projection_color_torus.png> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://pt.dbpedia.org/resource/Toro_(topologia)> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Square_root> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sv.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.mathcurve.com/surfaces/tore/tore.shtml> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Smooth_function> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Orbifold> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sk.dbpedia.org/resource/Torus_(geometria)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://simple.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Lattice_(group)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://mk.dbpedia.org/resource/\u0422\u043E\u0440_(\u0433\u0435\u043E\u043C\u0435\u0442\u0440\u0438\u0458\u0430)> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"Tor (geometria)"@ca .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Real_coordinate_space> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Closed_surface> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ms.dbpedia.org/resource/Torus> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageLength>	"35413"^^<http://www.w3.org/2001/XMLSchema#nonNegativeInteger> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Cartesian_product> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/image>	"Standard_torus-ring.png"@en .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Toro ou tor\u00F3ide \u00E9 um espa\u00E7o topol\u00F3gico homeomorfo ao produto de dois c\u00EDrculos. Apresenta o formato aproximado de uma c\u00E2mara de pneu. Em geometria, pode ser definido como o lugar geom\u00E9trico tridimensional formado pela rota\u00E7\u00E3o de uma superf\u00EDcie circular plana de raio r, em torno de uma circunfer\u00EAncia de raio R."@pt .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Inner_tube> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/property/wikiPageUsesTemplate>	<http://dbpedia.org/resource/Template:OEIS> .
<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Torus (Tori dalam bentuk jamak) dalam ilmu geometri adalah suatu permukaan yang tercipta akibat gerakan rotasi atau revolusi dari suatu lingkaran yang berputar dalam ruang tiga dimensi (dengan sumbu putar yang berada secara koplanar/se-bidang dengan lingkaran itu sendiri). Pada umumnya, sumbu putarnya tidak menyentuh lingkaran tersebut, sehingga akan membentuk suatu cincin atau torus. Dalam bahasa latin, torus berarti bantal. Persamaan parametrik dari sebuah torus didefinisikan sebagai: di mana"@in .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Cartesian_coordinates> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Polyhedron> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Cartesian_plane> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"\u521D\u7B49\u5E7E\u4F55\u5B66\u306B\u304A\u3051\u308B\u30C8\u30FC\u30E9\u30B9\uFF08\u82F1: torus, \u8907\u6570\u5F62: tori\uFF09\u3001\u5186\u74B0\u9762\u3001\u8F2A\u74B0\u9762\u306F\u3001\u5186\u5468\u3092\u56DE\u8EE2\u3057\u3066\u5F97\u3089\u308C\u308B\u56DE\u8EE2\u9762\u3067\u3042\u308B\u3002 \u3044\u304F\u3064\u304B\u306E\u6587\u8108\u3067\u306F\u3001\u4E8C\u3064\u306E\u5358\u4F4D\u5186\u5468\u306E\u76F4\u7A4D\u96C6\u5408 S1 \u00D7 S1\uFF08\u306B\u9069\u5F53\u306A\u69CB\u9020\u3092\u5165\u308C\u305F\u3082\u306E\uFF09\u3092\u300C\u30C8\u30FC\u30E9\u30B9\u300D\u3068\u5B9A\u7FA9\u3059\u308B\u3002\u7279\u306B\u3001\u4F4D\u76F8\u5E7E\u4F55\u5B66\u306B\u304A\u3051\u308B\u300C\u30C8\u30FC\u30E9\u30B9\u300D\u306F\u3001\u76F4\u7A4D\u4F4D\u76F8\u3092\u5099\u3048\u305F S1 \u00D7 S1 \u306B\u540C\u76F8\u306A\u56F3\u5F62\u306E\u7DCF\u79F0\u3068\u3057\u3066\u7528\u3044\u3089\u308C\u3001\u7A2E\u6570 1 \u306E\u9589\u66F2\u9762\uFF08\u30B3\u30F3\u30D1\u30AF\u30C8\uFF09\u3068\u3057\u3066\u7279\u5FB4\u3065\u3051\u3089\u308C\u308B\u3002\u3053\u306E\u3088\u3046\u306A\u30C8\u30FC\u30E9\u30B9\u306F R3 \u306B\u4F4D\u76F8\u7684\u306B\u57CB\u3081\u8FBC\u3081\u308B\u304C\u3001\u5404\u751F\u6210\u5186\u3092\u305D\u308C\u305E\u308C\u5225\u306E\u5E73\u9762 R2 \u306B\u57CB\u3081\u8FBC\u3093\u3067\u3001\u305D\u308C\u3089\u57CB\u3081\u8FBC\u307F\u3092\u4FDD\u3064\u3088\u3046\u306A\u76F4\u7A4D\u7A7A\u9593\u3068\u3057\u3066\u306E\u300C\u30C8\u30FC\u30E9\u30B9\u300D\u3092\u30E6\u30FC\u30AF\u30EA\u30C3\u30C9\u7A7A\u9593\u306B\u57CB\u3081\u8FBC\u3080\u3053\u3068\u306F R3 \u3067\u306F\u4E0D\u53EF\u80FD\u3067\u3001R4 \u3067\u8003\u3048\u308B\u5FC5\u8981\u304C\u3042\u308B\u3002\u3053\u308C\u306F \u3068\u547C\u3070\u308C\u308B\u3001\u56DB\u6B21\u5143\u7A7A\u9593\u5185\u306E\u66F2\u9762\u3092\u6210\u3059\u3002 \u6DF7\u540C\u3059\u3079\u304D\u3067\u306A\u3044\u95A2\u9023\u306E\u6DF1\u3044\u56F3\u5F62\u3068\u3057\u3066\u3001\u30C8\u30FC\u30E9\u30B9\u306B\u56F2\u307E\u308C\u305F\u9818\u57DF\uFF08\u4E09\u6B21\u5143\u56F3\u5F62\uFF09\u3059\u306A\u308F\u3061\u300C\u4E2D\u8EAB\u306E\u8A70\u307E\u3063\u305F\u30C8\u30FC\u30E9\u30B9\u300D(solid torus) \u3092\u3001\u30C8\u30FC\u30E9\u30B9\u4F53\u3001\u8F2A\u74B0\u4F53\u3001\u5186\u74B0\u4F53\u306A\u3069\u3068\uFF08\u5BFE\u3057\u3066\u3082\u3068\u306E\u30C8\u30FC\u30E9\u30B9\u3092\u30C8\u30FC\u30E9\u30B9\u9762 (toroid) \u3068\uFF09\u547C\u3076\u3053\u3068\u3082\u3042\u308B\u3002\u307E\u305F\u3001\u4E2D\u8EAB\u306E\u8A70\u307E\u3063\u305F\u30C8\u30FC\u30E9\u30B9\u3092\u5358\u306B\u300C\u30C8\u30FC\u30E9\u30B9\u300D(toroid) \u3068\u547C\u3076\u5834\u5408\u304C\u3042\u308B\u306E\u3067\u6CE8\u610F\u304C\u5FC5\u8981\u3067\u3042\u308B\u3002\u307E\u305F\u3001\u540C\u69D8\u306B\u300C\u5186\u74B0\u300D\u306A\u3069\u3068\u547C\u3070\u308C\u308B\u5225\u306E\u56F3\u5F62\u30A2\u30CB\u30E5\u30E9\u30B9\uFF08annulus\u3001\u74B0\u5E2F\uFF09\u3068\u3082\u6DF7\u540C\u3057\u3066\u306F\u306A\u3089\u306A\u3044\u3002"@ja .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Binomial_coefficient> .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Isomorphism> .
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<http://dbpedia.org/resource/Torus>	<http://www.w3.org/2000/01/rdf-schema#label>	"T\u00F3ras"@ga .
<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Abelian_group> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Manifold> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Loewner\u0027s_torus_inequality> .
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<http://dbpedia.org/resource/Torus>	<http://dbpedia.org/ontology/abstract>	"Toro estas ringoforma surfaco formita de cirklo, kiu turni\u011Das \u0109irka\u016D akso samebena. Se la akso sekcas la cirklon (estas \u015Dnuro de la cirklo), naski\u011Das surfaco, kiu ne aspektas ringo sed pli similas al kuseno kun maldika mezo. En la tre speciala kazo kiam la akso trairas la centron de la cirklo (estas ties diametro), naski\u011Das sfero. Normale oni nomas toro nur la surfacon kiu havas formon de ringo, sed eblas rigardi la kusenforma\u0135on kaj la sferon kiel specialajn kazojn de toro. La geometria parametra ekvacio de toro estas: Kie R estas distanco de cirkla centro \u011Dis akso de rotacio kaj r estas radiuso de la cirklo. Neparametra ekvacio de la samaj valoroj estas: En topologio, toro estas la produto de pluraj cirkloj. La surfaco de ringa formo estas produto de du cirkloj S\u00B9 \u00D7 S\u00B9. La figuro formita el spaco limigita de toro nomi\u011Das"@eo .