. . "F\u00F6r den statistiska termen se Multikollinearitet. Inom geometri \u00E4r kollinearitet (fr\u00E5n latin collinearis; con, \"tillsammans\", och linea, \"linje\") en egenskap hos en punktm\u00E4ngd, vilken specifikt inneb\u00E4r att punkterna ligger p\u00E5 samma linje. En m\u00E4ngd punkter med denna egenskap s\u00E4gs vara kolline\u00E4ra (kollinj\u00E4ra eller kolinj\u00E4r). Inom statistik avser begreppet en exakt eller ungef\u00E4rligt linj\u00E4r \u00F6verensst\u00E4mmelse mellan tv\u00E5 \"oberoende variabler\". Multikollinearitet utvidgar begreppet till mer \u00E4n tv\u00E5 variabler och lateral kollinearitet utvidgar det \u00E4n mer."@sv . . . . . "\u5728\u5E7E\u4F55\u5B78\u4E2D\uFF0C\u5171\u7DDA\u662F\u6307\u9EDE\u5728\u7A7A\u9593\u4E2D\u7684\u4E00\u7A2E\u95DC\u4FC2\uFF0C\u8868\u793A\u4E00\u7CFB\u5217\u9EDE\u843D\u5728\u540C\u4E00\u689D\u76F4\u7DDA\u4E0A\u7684\u6027\u8CEA\uFF0C\u4E5F\u5C31\u662F\u8AAA\uFF0C\u82E5\u6709\u4E00\u7CFB\u5217\u9EDE\u90FD\u4F4D\u65BC\u4E00\u689D\u76F4\u7DDA\u4E0A\u5247\u53EF\u4EE5\u7A31\u90A3\u4E00\u7CFB\u5217\u7684\u9EDE\u5171\u7DDA\u3002\u5EE3\u7FA9\u4E0A\u4F86\u8AAA\uFF0C\u9019\u500B\u8A5E\u5F59\u53EF\u7528\u65BC\u6240\u6709\u6392\u6210\u4E00\u76F4\u7DDA\u7684\u7269\u9AD4\u4E0A\uFF0C\u5373\u6211\u5011\u5E38\u8AAA\u7684\u300C\u5728\u540C\u4E00\u5217\u300D\u4EE5\u53CA\u300C\u5728\u540C\u4E00\u884C\u300D\u3002"@zh . . . . . . . . . . . . . "Drie punten zijn collineair, als ze op \u00E9\u00E9n lijn liggen. Collineariteit van punten is het duale begrip van concurrentie van lijnen."@nl . "\u0641\u064A \u0627\u0644\u0647\u0646\u062F\u0633\u0629\u0650 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0629\u0650\u060C \u0627\u0644\u062A\u0651\u0633\u0627\u0645\u064F\u062A\u064F \u0623\u0648 \u0627\u0644\u062A\u062F\u0627\u062E\u0644 \u0627\u0644\u062E\u0637\u064A (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: Collinearity)\u200F \u0647\u064A \u062E\u0627\u0635\u064A\u0651\u0629 \u062A\u062A\u0635\u0641 \u0628\u0647\u0627 \u0645\u062C\u0645\u0648\u0639\u0629\u064F \u0646\u0642\u0627\u0637\u064D \u0639\u0646\u062F\u064E \u0648\u064F\u0642\u0648\u0639\u0647\u0627 \u0639\u0644\u0649 \u0645\u064F\u0633\u062A\u0642\u064A\u0645\u064D \u0648\u062D\u064A\u062F. \u062A\u064F\u0633\u0645\u064E\u0651\u0649 \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0627\u0637: \u00AB\u0646\u0642\u0627\u0637 \u0645\u062A\u0633\u0627\u0645\u062A\u0629\u00BB \u0623\u0648 \u00AB\u0646\u0642\u0627\u0637 \u0639\u0644\u0649 \u0627\u0633\u062A\u0642\u0627\u0645\u0629 \u0648\u0627\u062D\u062F\u0629\u00BB \u0623\u0648 \u00AB\u0646\u0642\u0627\u0637 \u0645\u0634\u062A\u0631\u0643\u0629 \u0628\u0645\u0633\u062A\u0642\u064A\u0645\u00BB. \u0628\u062A\u0639\u0631\u064A\u0641 \u0623\u0643\u062B\u0631 \u0639\u0645\u0648\u0645\u064A\u0629\u060C \u064A\u064F\u0633\u062A\u064E\u0639\u0645\u0644\u064F \u0645\u064F\u0635\u0637\u0644\u062D\u064F \u0627\u0644\u062A\u0651\u0633\u0627\u0645\u062A\u0650 \u0644\u0648\u0635\u0641\u0650 \u0623\u062C\u0633\u0627\u0645\u064D \u0645\u062A\u0635\u0627\u0641\u0651\u0629 \u0623\u0648 \u0639\u0644\u0649 \u062E\u0637. \u0625\u0630 \u062A\u064F\u0648\u0635\u0641\u064F \u0627\u0644\u0645\u064F\u062A\u062C\u0647\u0627\u062A\u064F \u0623\u064A\u0636\u0627\u064B \u0639\u0644\u0649 \u0623\u0646\u0647\u0627 \u00AB\u0645\u064F\u062A\u0633\u0627\u0645\u062A\u0629\u00BB \u0623\u0648 \u00AB\u0645\u062A\u062F\u0627\u062E\u0644\u0629 \u062E\u0637\u064A\u0627\u064B\u00BB \u0639\u0646\u062F\u0645\u0627 \u062A\u0643\u0648\u0646 \u0644\u0647\u0627 \u0646\u0641\u0633 \u0627\u0644\u0632\u0627\u0648\u064A\u0629 (\u0628\u0645\u0639\u0646\u0649: \u0646\u0641\u0633 \u0627\u0644\u0627\u062A\u062C\u0627\u0647)\u060C \u0648\u062A\u064F\u0633\u0645\u0651\u0649 \u062D\u064A\u0646\u0626\u0630\u064D \u0623\u064A\u0636\u0627\u064B: \u0645\u062A\u062C\u0647\u0627\u062A \u063A\u064A\u0631 \u0645\u064F\u0633\u062A\u0642\u0644\u0629 \u062E\u0637\u064A\u0627\u064B."@ar . . "\u521D\u7B49\u5E7E\u4F55\u5B66\u306B\u304A\u3051\u308B\u70B9\u306E\u96C6\u5408\u306E\u5171\u7DDA\u6027\uFF08\u304D\u3087\u3046\u305B\u3093\u305B\u3044\u3001\u82F1: collinearity\uFF09\u306F\u3001\u305D\u308C\u3089\u70B9\u304C\u3059\u3079\u3066\u540C\u4E00\u76F4\u7DDA\u4E0A\u306B\u3042\u308B\u3068\u3044\u3046\u6027\u8CEA\u3092\u8A00\u3046\u3082\u306E\u3067\u3042\u308B\u3002\u4E0E\u3048\u3089\u308C\u305F\u70B9\u306E\u96C6\u5408\u304C\u5171\u7DDA\u6027\u3092\u6301\u3064\u3068\u304D\u3001\u305D\u308C\u3089\u306E\u70B9\u306F\u5171\u7DDA\uFF08\u304D\u3087\u3046\u305B\u3093\u3001\u82F1: collinear, colinear\uFF09\u3067\u3042\u308B\u3068\u8A00\u3046\u3002\u6975\u3081\u3066\u4E00\u822C\u306B\u3001\u69D8\u3005\u306A\u5BFE\u8C61\u306B\u5BFE\u3057\u3066\u305D\u308C\u3089\u304C\u300C\u4E00\u5217\u306B\u300D(\"in a line\") \u3042\u308B\u3044\u306F\u300C\u4E00\u884C\u306B\u300D(\"in a row\") \u4E26\u3079\u3089\u308C\u305F\u3068\u304D\u306B\u3001\u5171\u7DDA\u3068\u3044\u3046\u8A00\u8449\u3092\u7528\u3044\u308B\u3053\u3068\u304C\u3067\u304D\u308B\u3002"@ja . . "\u5728\u5E7E\u4F55\u5B78\u4E2D\uFF0C\u5171\u7DDA\u662F\u6307\u9EDE\u5728\u7A7A\u9593\u4E2D\u7684\u4E00\u7A2E\u95DC\u4FC2\uFF0C\u8868\u793A\u4E00\u7CFB\u5217\u9EDE\u843D\u5728\u540C\u4E00\u689D\u76F4\u7DDA\u4E0A\u7684\u6027\u8CEA\uFF0C\u4E5F\u5C31\u662F\u8AAA\uFF0C\u82E5\u6709\u4E00\u7CFB\u5217\u9EDE\u90FD\u4F4D\u65BC\u4E00\u689D\u76F4\u7DDA\u4E0A\u5247\u53EF\u4EE5\u7A31\u90A3\u4E00\u7CFB\u5217\u7684\u9EDE\u5171\u7DDA\u3002\u5EE3\u7FA9\u4E0A\u4F86\u8AAA\uFF0C\u9019\u500B\u8A5E\u5F59\u53EF\u7528\u65BC\u6240\u6709\u6392\u6210\u4E00\u76F4\u7DDA\u7684\u7269\u9AD4\u4E0A\uFF0C\u5373\u6211\u5011\u5E38\u8AAA\u7684\u300C\u5728\u540C\u4E00\u5217\u300D\u4EE5\u53CA\u300C\u5728\u540C\u4E00\u884C\u300D\u3002"@zh . "Kollinearit\u00E4t ist ein mathematischer Begriff, der in der Analytischen Geometrie und in der linearen Algebra verwendet wird. Zu zwei verschiedenen Punkten gibt es immer eindeutig eine Gerade, auf der sie liegen. In der Analytischen Geometrie nennt man verschiedene Punkte, die auf einer gemeinsamen Geraden liegen, kollinear. Das Adjektiv \"kollinear\" kann vom lateinischen \"linea recta\" (gerade Linie) oder auch vom Verb \"collineare\" (geradeaus zielen) abgeleitet werden. Die Kollinearit\u00E4t von Punkten spielt sowohl in der affinen Geometrie als auch in der projektiven Geometrie eine wichtige Rolle, da sie invariant unter bestimmten, als Kollineationen bezeichneter Abbildungen ist."@de . . . . . "Drie punten zijn collineair, als ze op \u00E9\u00E9n lijn liggen. Collineariteit van punten is het duale begrip van concurrentie van lijnen."@nl . . . . "Kollinearitet"@sv . "\uACF5\uC120\uC810(\u5171\u7DDA\u9EDE, \uC601\uC5B4: collinear point)\uC774\uB780 \uD55C \uC9C1\uC120 \uC0C1\uC5D0 \uC788\uB294 \uC810\uB4E4\uC744 \uB73B\uD55C\uB2E4. \uC608\uB97C \uB4E4\uC5B4, \uC720\uD074\uB9AC\uB4DC \uD3C9\uBA74\uC5D0\uC11C, (0,0), (1,1), (2,2)\uB294 \uACF5\uC120\uC810\uC774\uBA70, \uC774 \uC810\uB4E4\uC740 \uC9C1\uC120 x - y = 0 \uC0C1\uC5D0 \uC788\uB2E4."@ko . . "\u0641\u064A \u0627\u0644\u0647\u0646\u062F\u0633\u0629\u0650 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0629\u0650\u060C \u0627\u0644\u062A\u0651\u0633\u0627\u0645\u064F\u062A\u064F \u0623\u0648 \u0627\u0644\u062A\u062F\u0627\u062E\u0644 \u0627\u0644\u062E\u0637\u064A (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: Collinearity)\u200F \u0647\u064A \u062E\u0627\u0635\u064A\u0651\u0629 \u062A\u062A\u0635\u0641 \u0628\u0647\u0627 \u0645\u062C\u0645\u0648\u0639\u0629\u064F \u0646\u0642\u0627\u0637\u064D \u0639\u0646\u062F\u064E \u0648\u064F\u0642\u0648\u0639\u0647\u0627 \u0639\u0644\u0649 \u0645\u064F\u0633\u062A\u0642\u064A\u0645\u064D \u0648\u062D\u064A\u062F. \u062A\u064F\u0633\u0645\u064E\u0651\u0649 \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0627\u0637: \u00AB\u0646\u0642\u0627\u0637 \u0645\u062A\u0633\u0627\u0645\u062A\u0629\u00BB \u0623\u0648 \u00AB\u0646\u0642\u0627\u0637 \u0639\u0644\u0649 \u0627\u0633\u062A\u0642\u0627\u0645\u0629 \u0648\u0627\u062D\u062F\u0629\u00BB \u0623\u0648 \u00AB\u0646\u0642\u0627\u0637 \u0645\u0634\u062A\u0631\u0643\u0629 \u0628\u0645\u0633\u062A\u0642\u064A\u0645\u00BB. \u0628\u062A\u0639\u0631\u064A\u0641 \u0623\u0643\u062B\u0631 \u0639\u0645\u0648\u0645\u064A\u0629\u060C \u064A\u064F\u0633\u062A\u064E\u0639\u0645\u0644\u064F \u0645\u064F\u0635\u0637\u0644\u062D\u064F \u0627\u0644\u062A\u0651\u0633\u0627\u0645\u062A\u0650 \u0644\u0648\u0635\u0641\u0650 \u0623\u062C\u0633\u0627\u0645\u064D \u0645\u062A\u0635\u0627\u0641\u0651\u0629 \u0623\u0648 \u0639\u0644\u0649 \u062E\u0637. \u0625\u0630 \u062A\u064F\u0648\u0635\u0641\u064F \u0627\u0644\u0645\u064F\u062A\u062C\u0647\u0627\u062A\u064F \u0623\u064A\u0636\u0627\u064B \u0639\u0644\u0649 \u0623\u0646\u0647\u0627 \u00AB\u0645\u064F\u062A\u0633\u0627\u0645\u062A\u0629\u00BB \u0623\u0648 \u00AB\u0645\u062A\u062F\u0627\u062E\u0644\u0629 \u062E\u0637\u064A\u0627\u064B\u00BB \u0639\u0646\u062F\u0645\u0627 \u062A\u0643\u0648\u0646 \u0644\u0647\u0627 \u0646\u0641\u0633 \u0627\u0644\u0632\u0627\u0648\u064A\u0629 (\u0628\u0645\u0639\u0646\u0649: \u0646\u0641\u0633 \u0627\u0644\u0627\u062A\u062C\u0627\u0647)\u060C \u0648\u062A\u064F\u0633\u0645\u0651\u0649 \u062D\u064A\u0646\u0626\u0630\u064D \u0623\u064A\u0636\u0627\u064B: \u0645\u062A\u062C\u0647\u0627\u062A \u063A\u064A\u0631 \u0645\u064F\u0633\u062A\u0642\u0644\u0629 \u062E\u0637\u064A\u0627\u064B."@ar . . . . . . . . . . . . "Alignement (g\u00E9om\u00E9trie)"@fr . . . "Colinealidad"@es . . . . . . "Kollinearit\u00E4t ist ein mathematischer Begriff, der in der Analytischen Geometrie und in der linearen Algebra verwendet wird. Zu zwei verschiedenen Punkten gibt es immer eindeutig eine Gerade, auf der sie liegen. In der Analytischen Geometrie nennt man verschiedene Punkte, die auf einer gemeinsamen Geraden liegen, kollinear. Das Adjektiv \"kollinear\" kann vom lateinischen \"linea recta\" (gerade Linie) oder auch vom Verb \"collineare\" (geradeaus zielen) abgeleitet werden. Die Kollinearit\u00E4t von Punkten spielt sowohl in der affinen Geometrie als auch in der projektiven Geometrie eine wichtige Rolle, da sie invariant unter bestimmten, als Kollineationen bezeichneter Abbildungen ist."@de . "\u062A\u0633\u0627\u0645\u062A"@ar . . "3189581"^^ . "Collinearity"@en . . . . . . . . "F\u00F6r den statistiska termen se Multikollinearitet. Inom geometri \u00E4r kollinearitet (fr\u00E5n latin collinearis; con, \"tillsammans\", och linea, \"linje\") en egenskap hos en punktm\u00E4ngd, vilken specifikt inneb\u00E4r att punkterna ligger p\u00E5 samma linje. En m\u00E4ngd punkter med denna egenskap s\u00E4gs vara kolline\u00E4ra (kollinj\u00E4ra eller kolinj\u00E4r). Inom statistik avser begreppet en exakt eller ungef\u00E4rligt linj\u00E4r \u00F6verensst\u00E4mmelse mellan tv\u00E5 \"oberoende variabler\". Multikollinearitet utvidgar begreppet till mer \u00E4n tv\u00E5 variabler och lateral kollinearitet utvidgar det \u00E4n mer."@sv . . . . . "1121268810"^^ . . . . . . "18812"^^ . . . . . . . . "\u041A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u043E\u0441\u0442\u044C"@ru . . . . . . . . . . . . . . "Kollineare Punkte"@de . . "Collinearit\u00E0"@it . . "\u0414\u0432\u0430 \u0432\u0435\u043A\u0442\u043E\u0440\u0438 \u043D\u0430\u0437\u0438\u0432\u0430\u044E\u0442\u044C\u0441\u044F \u043A\u043E\u043B\u0456\u043D\u0435\u0430\u0301\u0440\u043D\u0438\u043C\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u043B\u0435\u0436\u0430\u0442\u044C \u043D\u0430 \u043F\u0430\u0440\u0430\u043B\u0435\u043B\u044C\u043D\u0438\u0445 \u043F\u0440\u044F\u043C\u0438\u0445 \u0430\u0431\u043E \u043D\u0430 \u043E\u0434\u043D\u0456\u0439 \u043F\u0440\u044F\u043C\u0456\u0439. \u041A\u043E\u043B\u0456\u043D\u0435\u0430\u0440\u043D\u0456 \u0432\u0435\u043A\u0442\u043E\u0440\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u0441\u043F\u0456\u0432\u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u0438\u043C\u0438 \u0447\u0438 \u043F\u0440\u043E\u0442\u0438\u043B\u0435\u0436\u043D\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u0438\u043C\u0438 (\u00AB\u0430\u043D\u0442\u0438\u043A\u043E\u043B\u0456\u043D\u0435\u0430\u0440\u043D\u0438\u043C\u0438\u00BB)."@uk . . . . "\u5171\u7DDA (\u5E7E\u4F55)"@zh . . . "In geometry, collinearity of a set of points is the property of their lying on a single line. A set of points with this property is said to be collinear (sometimes spelled as colinear). In greater generality, the term has been used for aligned objects, that is, things being \"in a line\" or \"in a row\"."@en . . . "\u041A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0301\u0440\u043D\u043E\u0441\u0442\u044C (\u043E\u0442 \u043B\u0430\u0442. col \u2014 \u0441\u043E\u0432\u043C\u0435\u0441\u0442\u043D\u043E\u0441\u0442\u044C \u0438 \u043B\u0430\u0442. linearis \u2014 \u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0439) \u2014 \u043E\u0442\u043D\u043E\u0448\u0435\u043D\u0438\u0435 \u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u0438 \u0432\u0435\u043A\u0442\u043E\u0440\u043E\u0432: \u0434\u0432\u0430 \u043D\u0435\u043D\u0443\u043B\u0435\u0432\u044B\u0445 \u0432\u0435\u043A\u0442\u043E\u0440\u0430 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442\u0441\u044F \u043A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u043C\u0438, \u0435\u0441\u043B\u0438 \u043E\u043D\u0438 \u043B\u0435\u0436\u0430\u0442 \u043D\u0430 \u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u044B\u0445 \u043F\u0440\u044F\u043C\u044B\u0445 \u0438\u043B\u0438 \u043D\u0430 \u043E\u0434\u043D\u043E\u0439 \u043F\u0440\u044F\u043C\u043E\u0439. \u0414\u043E\u043F\u0443\u0441\u0442\u0438\u0301\u043C \u0441\u0438\u043D\u043E\u043D\u0438\u043C \u2014 \u00AB\u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u044B\u0435\u00BB \u0432\u0435\u043A\u0442\u043E\u0440\u044B. \u041A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u0435 \u0432\u0435\u043A\u0442\u043E\u0440\u044B \u043C\u043E\u0433\u0443\u0442 \u0431\u044B\u0442\u044C \u043E\u0434\u0438\u043D\u0430\u043A\u043E\u0432\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u044B (\u00AB\u0441\u043E\u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u044B\u00BB) \u0438\u043B\u0438 \u043F\u0440\u043E\u0442\u0438\u0432\u043E\u043F\u043E\u043B\u043E\u0436\u043D\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u044B (\u0432 \u043F\u043E\u0441\u043B\u0435\u0434\u043D\u0435\u043C \u0441\u043B\u0443\u0447\u0430\u0435 \u0438\u0445 \u0438\u043D\u043E\u0433\u0434\u0430 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 \u00AB\u0430\u043D\u0442\u0438\u043A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u043C\u0438\u00BB \u0438\u043B\u0438 \u00AB\u0430\u043D\u0442\u0438\u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u044B\u043C\u0438\u00BB). \u041E\u0441\u043D\u043E\u0432\u043D\u043E\u0435 \u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0435 \u2014 ; \u0441\u043E\u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u043D\u044B\u0435 \u043A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u0435 \u0432\u0435\u043A\u0442\u043E\u0440\u044B \u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0430\u044E\u0442\u0441\u044F \u043A\u0430\u043A , \u043F\u0440\u043E\u0442\u0438\u0432\u043E\u043F\u043E\u043B\u043E\u0436\u043D\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u043D\u044B\u0435 \u2014 .\u0415\u0441\u043B\u0438 \u043E\u043D\u0438 \u043D\u0435 \u0440\u0430\u0432\u043D\u044B"@ru . . . . . . . . "In , due vettori e si dicono collineari se e solo se esiste uno scalare k tale che sia o, equivalentemente, . Etimologicamente collineari significa giacenti sulla stessa linea retta. In effetti, in geometria affine, due vettori si dicono collineari se esistono due rispettivi rappresentanti situati sopra una stessa retta, ossia se esistono tre punti A, B e C allineati tali che e I punti a1, a2 e a3 sono allineati tra loro; I punti b1, b2 e b3 sono allineati tra loro. Nella figura non ci sono altre combinazioni di tre punti giacenti sulla stessa retta."@it . . . . . . "\uACF5\uC120\uC810"@ko . . . . "\u041A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0301\u0440\u043D\u043E\u0441\u0442\u044C (\u043E\u0442 \u043B\u0430\u0442. col \u2014 \u0441\u043E\u0432\u043C\u0435\u0441\u0442\u043D\u043E\u0441\u0442\u044C \u0438 \u043B\u0430\u0442. linearis \u2014 \u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0439) \u2014 \u043E\u0442\u043D\u043E\u0448\u0435\u043D\u0438\u0435 \u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u0438 \u0432\u0435\u043A\u0442\u043E\u0440\u043E\u0432: \u0434\u0432\u0430 \u043D\u0435\u043D\u0443\u043B\u0435\u0432\u044B\u0445 \u0432\u0435\u043A\u0442\u043E\u0440\u0430 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442\u0441\u044F \u043A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u043C\u0438, \u0435\u0441\u043B\u0438 \u043E\u043D\u0438 \u043B\u0435\u0436\u0430\u0442 \u043D\u0430 \u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u044B\u0445 \u043F\u0440\u044F\u043C\u044B\u0445 \u0438\u043B\u0438 \u043D\u0430 \u043E\u0434\u043D\u043E\u0439 \u043F\u0440\u044F\u043C\u043E\u0439. \u0414\u043E\u043F\u0443\u0441\u0442\u0438\u0301\u043C \u0441\u0438\u043D\u043E\u043D\u0438\u043C \u2014 \u00AB\u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u044B\u0435\u00BB \u0432\u0435\u043A\u0442\u043E\u0440\u044B. \u041A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u0435 \u0432\u0435\u043A\u0442\u043E\u0440\u044B \u043C\u043E\u0433\u0443\u0442 \u0431\u044B\u0442\u044C \u043E\u0434\u0438\u043D\u0430\u043A\u043E\u0432\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u044B (\u00AB\u0441\u043E\u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u044B\u00BB) \u0438\u043B\u0438 \u043F\u0440\u043E\u0442\u0438\u0432\u043E\u043F\u043E\u043B\u043E\u0436\u043D\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u044B (\u0432 \u043F\u043E\u0441\u043B\u0435\u0434\u043D\u0435\u043C \u0441\u043B\u0443\u0447\u0430\u0435 \u0438\u0445 \u0438\u043D\u043E\u0433\u0434\u0430 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 \u00AB\u0430\u043D\u0442\u0438\u043A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u043C\u0438\u00BB \u0438\u043B\u0438 \u00AB\u0430\u043D\u0442\u0438\u043F\u0430\u0440\u0430\u043B\u043B\u0435\u043B\u044C\u043D\u044B\u043C\u0438\u00BB). \u041E\u0441\u043D\u043E\u0432\u043D\u043E\u0435 \u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0435 \u2014 ; \u0441\u043E\u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u043D\u044B\u0435 \u043A\u043E\u043B\u043B\u0438\u043D\u0435\u0430\u0440\u043D\u044B\u0435 \u0432\u0435\u043A\u0442\u043E\u0440\u044B \u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0430\u044E\u0442\u0441\u044F \u043A\u0430\u043A , \u043F\u0440\u043E\u0442\u0438\u0432\u043E\u043F\u043E\u043B\u043E\u0436\u043D\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u043D\u044B\u0435 \u2014 .\u0415\u0441\u043B\u0438 \u043E\u043D\u0438 \u043D\u0435 \u0440\u0430\u0432\u043D\u044B"@ru . . "\u0414\u0432\u0430 \u0432\u0435\u043A\u0442\u043E\u0440\u0438 \u043D\u0430\u0437\u0438\u0432\u0430\u044E\u0442\u044C\u0441\u044F \u043A\u043E\u043B\u0456\u043D\u0435\u0430\u0301\u0440\u043D\u0438\u043C\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u043B\u0435\u0436\u0430\u0442\u044C \u043D\u0430 \u043F\u0430\u0440\u0430\u043B\u0435\u043B\u044C\u043D\u0438\u0445 \u043F\u0440\u044F\u043C\u0438\u0445 \u0430\u0431\u043E \u043D\u0430 \u043E\u0434\u043D\u0456\u0439 \u043F\u0440\u044F\u043C\u0456\u0439. \u041A\u043E\u043B\u0456\u043D\u0435\u0430\u0440\u043D\u0456 \u0432\u0435\u043A\u0442\u043E\u0440\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u0441\u043F\u0456\u0432\u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u0438\u043C\u0438 \u0447\u0438 \u043F\u0440\u043E\u0442\u0438\u043B\u0435\u0436\u043D\u043E \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u0438\u043C\u0438 (\u00AB\u0430\u043D\u0442\u0438\u043A\u043E\u043B\u0456\u043D\u0435\u0430\u0440\u043D\u0438\u043C\u0438\u00BB)."@uk . . . . . . . . . . . . . . . . . . . . "In , due vettori e si dicono collineari se e solo se esiste uno scalare k tale che sia o, equivalentemente, . Etimologicamente collineari significa giacenti sulla stessa linea retta. In effetti, in geometria affine, due vettori si dicono collineari se esistono due rispettivi rappresentanti situati sopra una stessa retta, ossia se esistono tre punti A, B e C allineati tali che e I punti a1, a2 e a3 sono allineati tra loro; I punti b1, b2 e b3 sono allineati tra loro. Nella figura non ci sono altre combinazioni di tre punti giacenti sulla stessa retta. La collinearit\u00E0 \u00E8 una nozione importante in geometria affine, in quanto permette di definire \n* l'allineamento: i punti A, B e C sono allineati se i vettori e sono collineari; \n* il parallelismo di due rette: le rette (AB) e (CD) sono parallele se i vettori e sono collineari. Si nota che il vettore nullo di uno spazio vettoriale \u00E8 collineare con tutti gli altri vettori.Sull'insieme dei vettori non nulli la relazione di collinearit\u00E0 \u00E8 \n* riflessiva: un vettore \u00E8 collineare con s\u00E9 stesso; \n* simmetrica: se un vettore \u00E8 collineare con un vettore , allora \u00E8 collineare con ; \n* transitiva: se un vettore \u00E8 collineare con e \u00E8 collineare con , allora \u00E8 collineare con . Queste tre propriet\u00E0 consentono di affermare che la relazione di collinearit\u00E0 \u00E8 una relazione d'equivalenza; le sue classi d'equivalenza costituiscono lo spazio proiettivo associato allo spazio vettoriale."@it . "En g\u00E9om\u00E9trie, l\u2019alignement est une propri\u00E9t\u00E9 satisfaite par certains familles de points, lorsque ces derniers appartiennent collectivement \u00E0 une m\u00EAme droite. Deux points \u00E9tant toujours align\u00E9s en vertu du premier axiome d\u2019Euclide, la notion d\u2019alignement ne pr\u00E9sente d\u2019int\u00E9r\u00EAt qu\u2019\u00E0 partir d\u2019une collection de trois points."@fr . "\uACF5\uC120\uC810(\u5171\u7DDA\u9EDE, \uC601\uC5B4: collinear point)\uC774\uB780 \uD55C \uC9C1\uC120 \uC0C1\uC5D0 \uC788\uB294 \uC810\uB4E4\uC744 \uB73B\uD55C\uB2E4. \uC608\uB97C \uB4E4\uC5B4, \uC720\uD074\uB9AC\uB4DC \uD3C9\uBA74\uC5D0\uC11C, (0,0), (1,1), (2,2)\uB294 \uACF5\uC120\uC810\uC774\uBA70, \uC774 \uC810\uB4E4\uC740 \uC9C1\uC120 x - y = 0 \uC0C1\uC5D0 \uC788\uB2E4."@ko . . "Collineair"@nl . . . . "\u521D\u7B49\u5E7E\u4F55\u5B66\u306B\u304A\u3051\u308B\u70B9\u306E\u96C6\u5408\u306E\u5171\u7DDA\u6027\uFF08\u304D\u3087\u3046\u305B\u3093\u305B\u3044\u3001\u82F1: collinearity\uFF09\u306F\u3001\u305D\u308C\u3089\u70B9\u304C\u3059\u3079\u3066\u540C\u4E00\u76F4\u7DDA\u4E0A\u306B\u3042\u308B\u3068\u3044\u3046\u6027\u8CEA\u3092\u8A00\u3046\u3082\u306E\u3067\u3042\u308B\u3002\u4E0E\u3048\u3089\u308C\u305F\u70B9\u306E\u96C6\u5408\u304C\u5171\u7DDA\u6027\u3092\u6301\u3064\u3068\u304D\u3001\u305D\u308C\u3089\u306E\u70B9\u306F\u5171\u7DDA\uFF08\u304D\u3087\u3046\u305B\u3093\u3001\u82F1: collinear, colinear\uFF09\u3067\u3042\u308B\u3068\u8A00\u3046\u3002\u6975\u3081\u3066\u4E00\u822C\u306B\u3001\u69D8\u3005\u306A\u5BFE\u8C61\u306B\u5BFE\u3057\u3066\u305D\u308C\u3089\u304C\u300C\u4E00\u5217\u306B\u300D(\"in a line\") \u3042\u308B\u3044\u306F\u300C\u4E00\u884C\u306B\u300D(\"in a row\") \u4E26\u3079\u3089\u308C\u305F\u3068\u304D\u306B\u3001\u5171\u7DDA\u3068\u3044\u3046\u8A00\u8449\u3092\u7528\u3044\u308B\u3053\u3068\u304C\u3067\u304D\u308B\u3002"@ja . . "\u5171\u7DDA"@ja . . . . . . . . . . . "En g\u00E9om\u00E9trie, l\u2019alignement est une propri\u00E9t\u00E9 satisfaite par certains familles de points, lorsque ces derniers appartiennent collectivement \u00E0 une m\u00EAme droite. Deux points \u00E9tant toujours align\u00E9s en vertu du premier axiome d\u2019Euclide, la notion d\u2019alignement ne pr\u00E9sente d\u2019int\u00E9r\u00EAt qu\u2019\u00E0 partir d\u2019une collection de trois points."@fr . . . . . . . "En geometr\u00EDa, la colinealidad es la propiedad seg\u00FAn la cual un conjunto de puntos est\u00E1n situados sobre la misma l\u00EDnea recta.\u200B Se dice que un conjunto de puntos que posee esta propiedad es colineal (a veces escrito como colinear,\u200B procedente de una traducci\u00F3n inadecuada del ingl\u00E9s). En general, el t\u00E9rmino se ha usado para objetos alineados, es decir, elementos que est\u00E1n \"en una l\u00EDnea\" o \"en una fila\"."@es . . "En geometr\u00EDa, la colinealidad es la propiedad seg\u00FAn la cual un conjunto de puntos est\u00E1n situados sobre la misma l\u00EDnea recta.\u200B Se dice que un conjunto de puntos que posee esta propiedad es colineal (a veces escrito como colinear,\u200B procedente de una traducci\u00F3n inadecuada del ingl\u00E9s). En general, el t\u00E9rmino se ha usado para objetos alineados, es decir, elementos que est\u00E1n \"en una l\u00EDnea\" o \"en una fila\"."@es . . "In geometry, collinearity of a set of points is the property of their lying on a single line. A set of points with this property is said to be collinear (sometimes spelled as colinear). In greater generality, the term has been used for aligned objects, that is, things being \"in a line\" or \"in a row\"."@en . . . . "\u041A\u043E\u043B\u0456\u043D\u0435\u0430\u0440\u043D\u0456\u0441\u0442\u044C"@uk . . . .