<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-dynamical-systems-and-geometric-theories</journal-id>
      <journal-title-group>
        <journal-title>Journal of Dynamical Systems and Geometric Theories</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0057</issn>
      <issn publication-format="print">1726-037X</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1080/1726037X.2015.1076225</article-id>
      <title-group>
        <article-title>The exchange variations between bezier directrix curves of two developable ruled surfaces</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Bulut</surname>
            <given-names>Vahide</given-names>
          </name>
          <aff>DEPARTMENT OF MATHEMATICS, EGE UNIVERSITY, IZMIR, 35100, TURKEY</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Caliskan</surname>
            <given-names>Ali</given-names>
          </name>
          <aff>DEPARTMENT OF MATHEMATICS, EGE UNIVERSITY, IZMIR, 35100, TURKEY</aff>
        </contrib>
      </contrib-group>
      <volume>13</volume>
      <issue>2</issue>
      <fpage>103</fpage>
      <lpage>114</lpage>
      <pub-date date-type="pub">
        <day>24</day>
        <month>11</month>
        <year>2015</year>
      </pub-date>
      <abstract>
        <p>Developable ruled surfaces and Bezier curves axe widely used in Computer Aided Geometric Deisgn (CAGD). A ruled surface is a surface generated by sweeping a line through space, or more specifically, sweeping a line along a directrix curve. A developable ruled surface is a surface where the surface normal at all points along a given ruling is constant. If the generators and directrix curve of a developable ruled surface are known, operations with these surfaces and designs of them are much simplified.</p>
      </abstract>
      <kwd-group>
        <kwd>Developable ruled surfaceBezier curveArc lengthVariation</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
