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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-15333</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/15333</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 existence of a limitless variety of geometric systems</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Существование безграничного множества геометрических систем</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="1908-12-25">
        <day>25</day>
        <month>12</month>
        <year>1908</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1908</year>
      </pub-date>
      <volume>1</volume>
      <issue>5</issue>
      <fpage>322</fpage>
      <lpage>342</lpage>
      <history>
        <date date-type="received" iso-8601-date="1908-07-02">
          <day>02</day>
          <month>07</month>
          <year>1908</year>
        </date>
        <date date-type="accepted" iso-8601-date="1908-08-26">
          <day>26</day>
          <month>08</month>
          <year>1908</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1908-12-25">
          <day>25</day>
          <month>12</month>
          <year>1908</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 1908 Е. С. Федоров</copyright-statement>
        <copyright-statement xml:lang="en">© 1908 Ye. S. Fedorov</copyright-statement>
        <copyright-year>1908</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/15333">https://pmi.spmi.ru/pmi/article/view/15333</self-uri>
      <abstract xml:lang="ru">
        <p>Автор делает вывод о существовании без­граничного множества геометрических систем одной и той же ступени, выводимых из каждой одной данной. Так как вывод о возмож­ности воспроизведения из всякой данной системы другой, парной, никакими условиями не ограничи­вается и обусловливается возможностью тех же позиционных построений, что и для всех систем, то ясно, что он одинаково применим и к парным системам. Другими словами, мы можем воспроизвести но­вую, парную, систему не только из вообще каких либо геометрических систем, но совершенно на тех же основаниях и из каждой парной системы.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The author concludes that there is an unlimited number of geometric systems of the same level, deduced from each given one. Since the conclusion about the possibility of reproducing from any given system another, twin one, is not limited by any conditions and is determined by the possibility of the same positional constructions as for all systems, it is clear that it is equally applicable to twin systems. In other words, we can reproduce a new, twin system not only from any geometric systems in general, but on absolutely the same grounds and from each twin system.</p>
      </abstract>
    </article-meta>
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        <label>1</label>
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