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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">11215</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">CASSINI OVAL, LEMNISCATE CURVE AND LEMNISCATE SURFACES</article-title><trans-title-group xml:lang="ru"><trans-title>ОВАЛ КАССИНИ, ЛЕМНИСКАТА И ЛЕМНИСКАТНЫЕ ПОВЕРХНОСТИ</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Ivanov</surname><given-names>V N</given-names></name><name xml:lang="ru"><surname>ИВАНОВ</surname><given-names>ВЯЧЕСЛАВ НИКОЛАЕВИЧ</given-names></name></name-alternatives><bio xml:lang="ru">д-р техн. наук, профессор, (495) 955-08-21</bio><email>i.v.ivn@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples' Friendship University of Russia, Russia, Moscow</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2014-05-15" publication-format="electronic"><day>15</day><month>05</month><year>2014</year></pub-date><issue>5</issue><issue-title xml:lang="en">NO5 (2014)</issue-title><issue-title xml:lang="ru">№5 (2014)</issue-title><fpage>3</fpage><lpage>9</lpage><history><date date-type="received" iso-8601-date="2016-09-12"><day>12</day><month>09</month><year>2016</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2016, Structural Mechanics of Engineering Constructions and Buildings</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2016, Строительная механика инженерных конструкций и сооружений</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</copyright-holder><copyright-holder xml:lang="ru">Строительная механика инженерных конструкций и сооружений</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/11215">https://journals.rudn.ru/structural-mechanics/article/view/11215</self-uri><abstract xml:lang="en">The article concerns the geometry of Cassini oval, lemniscates, lemniscate surfaces on the base of lemniscate and, as partial, the one-sided lemniscate surfaces</abstract><trans-abstract xml:lang="ru">В статье рассматриваются вопросы геометрии овала Кассини, лемнискаты и об- разования поверхностей с образующими или направляющими кривыми в форме лемни- скаты, в том числе геометрия односторонней лемнискатной поверхности</trans-abstract><kwd-group xml:lang="en"><kwd>Cassini oval</kwd><kwd>lemniscate</kwd><kwd>generatrix and director of the surfaces</kwd><kwd>lemnis- cate cylinder</kwd><kwd>lemniscate cone</kwd><kwd>one-sided lemniscate surface</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>Овал Кассини</kwd><kwd>лемниската</kwd><kwd>направляющие и образующие кривые поверхности</kwd><kwd>лемнискатный цилиндр</kwd><kwd>лемнискатный конус</kwd><kwd>односторонняя лем- нискатная поверхность</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Lawrence J. D. A Catalog of Special Plane Curves. NY: Dover, 1972. - Pp. 153-155.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Кривошапко С.Н., Иванов В.Н. Энциклопедия аналитических поверхностей. - М.: Книжный дом «Либроком», 2010. - 556 с.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Иванов В.Н. Геометрия и формообразование нормальных поверхностей с семейством плоских координатных линий// Строительная механика инженерных конструкций и сооружений. - 2011. - № 4. - С. 6-14.</mixed-citation></ref></ref-list></back></article>
