File: area.htm

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<HTML>
<HEAD>
<TITLE>Area function</TITLE>
</HEAD>
<BODY bgcolor="#FFFFFF" fgcolor="#000000">

<P><font size="+3" color="green"><B>Area function</B></font></P>
<P>
<TABLE border="1" cols="2" frame="box" rules="all" width="572">
<TR>
<TD width="15%" valign="top"><B>Syntax</B>:</TD>
<TD width="85%"><CODE>
a = AREA(x,y)</CODE>
</TD></TR>
</table></p>
<p>
 The <CODE>AREA</CODE> function calculates the area
 enclosed in the polygon specified by the vertex coordinates given in the vector
 arguments <code>x</code> and <code>y</code>.  Both vector arguments must be of the
 same length.  The polygon need not be closed, that is, the last point will be
 assumed to connect to the first point.</p>
<P>
 <font size="+1" color="green">Example</font></P>
<p>
 The following code produces the picture below.</P>
<P>
 <font color="blue"><pre>
 GENERATE THETA 0 .25 360
 R[1:LEN(THETA)] = 1
 SET AUTOSCALE COMMENSURATE
 GRAPH R*COSD(THETA) R*SIND(THETA)
 PIC = AREA(R*COSD(THETA),R*SIND(THETA))
 SET TEXTALIGN 2
 SET %XTEXTLOCATION 50
 SET %YTEXTLOCATION 90
 SET TEXTINTERACTIVE 0
 TEXT 'Calculated <pi> = '//RCHAR(PIC)//', acos(-1) = '//RCHAR(ACOS(-1))
 </pre></font></P>
<P>
 <center><IMG SRC="area1.png"></center></P>
<P>
 <a href="../Airy/airy.htm"><img align=middle border="0" src="../../../shadow_left.gif">&nbsp;
 <font size="+1" color="olive">Airy's functions</font></a><br />
 <a href="../Bessel/bessel.htm"><img align=middle border="0" src="../../../shadow_right.gif">&nbsp;
 <font size="+1" color="olive">Bessel functions</font></a>
</P>
</BODY>
</HTML>