<?xml version="1.0" encoding="UTF-8"?>
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" dtd-version="1.4" article-type="research-article">
  <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-15471</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/15471</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">Practical solution to the problem of drawing a linear prima of conoprimas using two given ones</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Практическое решение задачи проведения линейной примы коноприм по двум данным</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>397</fpage>
      <lpage>398</lpage>
      <history>
        <date date-type="received" iso-8601-date="1913-06-08">
          <day>08</day>
          <month>06</month>
          <year>1913</year>
        </date>
        <date date-type="accepted" iso-8601-date="1913-08-15">
          <day>15</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/15471">https://pmi.spmi.ru/pmi/article/view/15471</self-uri>
      <abstract xml:lang="ru">
        <p>Именно этой задаче посвятил Штейнер свое знаменитое сочинение о линейных примах коноприм (Kegelschnittbüschel) и именно в нем он изложил ее с такою исчерпывающею полнотою, что решительно не было бы нечего прибавить к этому, если бы только он наперед не ограничил свою задачу вещественными конопримами; между теми данными могут быть и мнимые конопримы, хотя бы в сущности и только эллипсы, так как мнимые гиперболы равносильны с вещественными гиперболами с теми же ассимптотами, так называемые сопряженные.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>It is precisely to this problem that Steiner devoted his famous treatise on linear primas of conoprimes (Kegelschnittbüschel), and it is precisely there that he presented it with such exhaustive completeness that absolutely nothing could be added to it, had he not from the outset, restricted his problem real conoprimas; among the given data there may also be imaginary conoprimas, even if in essence they are only ellipses, since imaginary hyperbolas are equivalent to real hyperbolas with the same asymptotes, the so-called conjugate ones.</p>
      </abstract>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list/>
  </back>
</article>
