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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 to 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 xml:lang="ru">© 1913 Е. С. Федоров</copyright-statement>
        <copyright-statement xml:lang="en">© 1913 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 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/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 coincidence, not a single geometer, as far as I know, has ever considered the system of spheroprimas of rays, whereas the system of spheroprimas of points was one of the first geometric systems to be established, except for the system of spheroprimas, both of points and of rays, which was so far ahead of its time, and was derived by Mr. Steiner. At the foundation of the construction of the system lies a linear prima undertake the construction of a linear prima of spheroprimas of rays.</p>
      </abstract>
    </article-meta>
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