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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">The complete quadrilateral in crystallography and a graphical method for determining 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 xml:lang="ru">© 1909 Е. С. Федоров</copyright-statement>
        <copyright-statement xml:lang="en">© 1909 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 license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (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 треугольника 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 треугольников, имеющих общую сторону.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Since, in general, to define a chrystal form four faces are required and sufficient, it is clear that with three given points, no matter what triangle their poles constitute, further development of the form is impossible, and it is absolutely necessary to know the position of some fourth face. In general, the choice of such faces depends on our preference, and I will consider the case when these four points constitute the vertices of two adjacent triangles that share a common side.</p>
      </abstract>
    </article-meta>
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