egeneracies (a magnitude of zero ignores the angles settings...) do happen
      however.
    </p>
<p>
      <code class="computeroutput"><span class="identifier">cylindrical</span></code> is likewise a simple
      transposition of the usual cylindrical coordinates in <span class="emphasis"><em><span class="bold"><strong>R<sup>3</sup></strong></span></em></span>,
      which in turn is another derivative of planar polar coordinates. The first
      two inputs are the polar coordinates of the first <span cl