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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-15351</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/15351</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Статьи</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Articles</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">A complete quadrilateral in crystallography and a graphical method for finding complex indices</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Полный четырехсторонник в кристаллографии и графический прием нахождения сложных индексов</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Fedorov</surname>
            <given-names>Ye. S.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Федоров</surname>
              <given-names>Е. С.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Fedorov</surname>
              <given-names>Ye. S.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru"> (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en"> (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="1909-12-01">
        <day>01</day>
        <month>12</month>
        <year>1909</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1909</year>
      </pub-date>
      <volume>2</volume>
      <issue>1</issue>
      <fpage>72</fpage>
      <lpage>73</lpage>
      <history>
        <date date-type="received" iso-8601-date="1909-06-30">
          <day>30</day>
          <month>06</month>
          <year>1909</year>
        </date>
        <date date-type="accepted" iso-8601-date="1909-08-24">
          <day>24</day>
          <month>08</month>
          <year>1909</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1909-12-01">
          <day>01</day>
          <month>12</month>
          <year>1909</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© Ye. S. Fedorov</copyright-statement>
        <copyright-year>1909</copyright-year>
        <copyright-holder xml:lang="ru">Е. С. Федоров</copyright-holder>
        <copyright-holder xml:lang="en">Ye. S. Fedorov</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0">
          <license-p>CC BY 4.0</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/15351">https://pmi.spmi.ru/pmi/article/view/15351</self-uri>
      <abstract xml:lang="ru">
        <p>Так как вообще для определения комплекса необходимо и достаточно четырех граней, то ясно, что тремя данными точками, вершины какого-бы трехугольника их полюсы ни составляли, дальнейшее развитие комплекса невозможно, и совершенно необходимо знать положение еще какой-нибудь четвертой грани. В общем, выбор таковых зависит от нашего желания, и я рассмотрю случай, когда данные четыре точки составляют вершины двух смежных трехугольников, имеющих общую сторону.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Since in general, to define a complex, four faces are necessary and sufficient, it is clear that with three given points, the vertices of any triangle, their poles constitute, further development of the complex is impossible, and it is absolutely necessary to know the position of some other fourth face. In general, the choice of such depends on our desire, and I will consider the case when these four points form the vertices of two adjacent triangles that have a common side.</p>
      </abstract>
    </article-meta>
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        <label>1</label>
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