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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-15173</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/15173</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Краткие сообщения</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Brief communications</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">A simple method for constructing correlative elements in related secunds of points, conoprimas of points and conoprimas of rays with three fixed elements</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Простой способ построения коррелятивных элементов в родственных секундах точек, коноприм точек и коноприм лучей с тремя постоянными элементами</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="1915-12-01">
        <day>01</day>
        <month>12</month>
        <year>1915</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1915</year>
      </pub-date>
      <volume>5</volume>
      <issue>4-5</issue>
      <fpage>396</fpage>
      <lpage>397</lpage>
      <history>
        <date date-type="received" iso-8601-date="1915-06-04">
          <day>04</day>
          <month>06</month>
          <year>1915</year>
        </date>
        <date date-type="accepted" iso-8601-date="1915-08-02">
          <day>02</day>
          <month>08</month>
          <year>1915</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1915-12-01">
          <day>01</day>
          <month>12</month>
          <year>1915</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 1915 Е. С. Федоров</copyright-statement>
        <copyright-statement xml:lang="en">© 1915 E. S. Fedorov</copyright-statement>
        <copyright-year>1915</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/15173">https://pmi.spmi.ru/pmi/article/view/15173</self-uri>
      <abstract xml:lang="ru">
        <p>Проективные отношения, выясненные в предыдущей заметке, получили бы высокую степень наглядности, если бы удалось установить простым построением такую коррелятивность между конопримами секунды и точками плоскости, чтобы экстраэлементам одной соответствовали экстраточки другой. В секунде коноприм лучей заключается прима таких, которые представлены парою точек (точнее парою линейных прим лучей). Так как в каждой линейной приме таких особых коноприм представлено три (из коих одна пара может быть мнимою), то совершенно очевидно, что приме особых коноприм лучей коррелятивна кривая 3-го порядка.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The projective relations elucidated in the preceding note would achieve a high degree of clarity if it were possible to establish, by a simple construction, such a correlation between the conoprimas of a secund and the points of the plane that the extra-elements of the one correspond to the extra-points of the other. In the secund of pencils of rays, there is contained a prima of those which are represented by a pair of points (more precisely, by a pair of linear primas of rays). Since in each linear prima there are three such special conoprimas represented (of which one pair may be imaginary), it is perfectly obvious that the prima of special primas of rays is correlative to a curve of the third order.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>-</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Reye Geometrie der Lage. I, 250.</mixed-citation>
        <mixed-citation xml:lang="en">Reye Geometrie der Lage. I, 250.</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
