Generatrix

<h2 id="examples">Examples</h2>
<p>A <a href="/facts/Cone/2c9GIzYD">cone</a> can be generated by moving a line (the generatrix) fixed at the future apex of the cone along a closed curve (the directrix); if that directrix is a circle perpendicular to the line connecting its center to the apex, the motion is <a href="/facts/Rotation_around_a_fixed_axis/PGcg3IY5">rotation around a fixed axis</a> and the resulting shape is a circular cone.<a class="footnote-ref" id="fnref:3" href="#fn:3"><sup>3</sup></a>
</p><p>The generatrix of a <a href="/facts/Cylinder_(geometry)/0wQPPr3k">cylinder</a>, a limiting case of a cone, is a line that is kept <a href="/facts/Parallel_(geometry)/16r5yq7D">parallel</a> to some axis.
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<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/Surface_of_revolution/yzpQMdzx">Surface of revolution</a></li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>"generatrix". merriam-webster.com. Retrieved 11 September 2014. <a href="https://www.merriam-webster.com/dictionary/generatrix" target="_blank">https://www.merriam-webster.com/dictionary/generatrix</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>"generatrix". mathopenref.com. Retrieved 11 September 2014. <a href="https://www.mathopenref.com/generatrix.html" target="_blank">https://www.mathopenref.com/generatrix.html</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>"Cone". britannica.com. Retrieved 11 September 2014. <a href="https://www.britannica.com/science/cone-mathematics" target="_blank">https://www.britannica.com/science/cone-mathematics</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
</ol>

Generatrix open-in-new

Generatrix