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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-15473</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/15473</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 system of vector circles is identical with the system of spheroprimes of rays</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Система векториальных кругов тождественна с системою сфероприм лучей</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Fedorov</surname>
            <given-names>E. 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>E. 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="1913-12-01">
        <day>01</day>
        <month>12</month>
        <year>1913</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1913</year>
      </pub-date>
      <volume>4</volume>
      <issue>5</issue>
      <fpage>403</fpage>
      <lpage>403</lpage>
      <history>
        <date date-type="received" iso-8601-date="1913-06-17">
          <day>17</day>
          <month>06</month>
          <year>1913</year>
        </date>
        <date date-type="accepted" iso-8601-date="1913-08-16">
          <day>16</day>
          <month>08</month>
          <year>1913</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1913-12-01">
          <day>01</day>
          <month>12</month>
          <year>1913</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© E. S. Fedorov</copyright-statement>
        <copyright-year>1913</copyright-year>
        <copyright-holder xml:lang="ru">Е. С. Федоров</copyright-holder>
        <copyright-holder xml:lang="en">E. 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/15473">https://pmi.spmi.ru/pmi/article/view/15473</self-uri>
      <abstract xml:lang="ru">
        <p>По странной случайности ни один геометр, насколь­ко мне известно, не задавался системою сфероприм лучей, тогда как система сфероприм точек была одною из первых установленных геометрических систем, если не считать столь опередившего свое время системы коноприм как точек, так и лучей, выведенный господином Штейнером. В основании построения системы находится линейная прима; и вот теперь мы зададимся построением линейной примы сфероприм лучей.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>By a strange accident, not a single geometer, as far as I know, was given a system of spheroprimes of rays, while the system of spheroprimes of points was one of the first established geometric systems, except for the system of spheroprimes of both points and rays, which was so ahead of its time, derived by Mr. Shteiner. At the basis of the system construction is a linear prime; and now we will set ourselves the task of constructing a linear prime of spheroprimes of rays.</p>
      </abstract>
    </article-meta>
  </front>
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        <label>1</label>
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