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<H2><A NAME="SECTION001345000000000000000">
5.4.5 Cassini Cylindrical Projection (<B>-Jc</B> <B>-JC</B>)</A>
</H2>
<P>
<A NAME="8249"></A>
<A NAME="8250"></A>
<A NAME="8251"></A>
<P>
This cylindrical projection was developed in 1745 by C. F.
Cassini for the survey of France. It is occasionally called
Cassini-Soldner since the latter provided the more accurate
mathematical analysis that led to the development of the
ellipsoidal formulae. The projection is neither conformal
nor equal-area, and behaves as a compromise between the two
end-members. The distortion is zero along the central meridian.
It is best suited for mapping regions of north-south extent.
The central meridian, each meridian 90<IMG
WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img61.gif"
ALT="$^{o}$"> away, and equator
are straight lines; all other meridians and parallels are
complex curves. The requirements to define this projection are:
<P>
<DL>
<DD><P>
</DD>
<DT><STRONG><IMG
WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img54.gif"
ALT="$\bullet$"></STRONG></DT>
<DD>Longitude and latitude of central point
<P>
</DD>
<DT><STRONG><IMG
WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img54.gif"
ALT="$\bullet$"></STRONG></DT>
<DD>Scale in inch/degree or as 1:xxxxx (<B>-Jc</B>),
or map width (<B>-JC</B>)
<P>
</DD>
</DL>
<P>
A detailed map of the island of Sardinia centered on the
8<IMG
WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img61.gif"
ALT="$^{o}$">45'E meridian using the Cassini projection can be
obtained by running the command:
<P>
<P>
<BR>
<P>
<BR CLEAR="ALL">
<HR>
<BR>
<PRE>
#!/bin/sh
# $Id: GMT_cassini.sh,v 1.1 2001/03/21 04:10:21 pwessel Exp $
#
gmtset LABEL_FONT_SIZE 12
pscoast -R7:30/38:30/10:30/41:30r -JC8.75/40/2.5i -B1g1f30m -Lf9.5/38.8/40/60 -Dh -G200 -W0.25p \
-Ia/0.5p -P > GMT_cassini.ps
</PRE>
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<P></P>
<DIV ALIGN="CENTER"><A NAME="fig:GMT_cassini"></A><A NAME="8404"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 5.22:</STRONG>
Cassini map over Sardinia</CAPTION>
<TR><TD><IMG
WIDTH="367" HEIGHT="436" BORDER="0"
SRC="img84.gif"
ALT="\begin{figure}\centering\epsfig{figure=eps/GMT_cassini.eps}\end{figure}"></TD></TR>
</TABLE>
</DIV><P></P>
<P>
As with the previous projections, the user can choose between
a rectangular boundary (used here) or a geographical (WESN)
boundary.
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<ADDRESS>
Paul Wessel
2001-04-18
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