Msql Conect to another dathabase

Hy i have 3 site, i want to display on the first site , content from another, i do not want to use rss..

How can i connect to the other dathabase.

For example i have a file name mod_culina.php in theme file
On index i put

<?php get_header(); ?>
<div class="art-contentLayout">
<?php include (TEMPLATEPATH . '/topfront.php'); ?>
<div class="art-cont">
<?php include (TEMPLATEPATH . '/mod_culinar.php'); ?>
</div>
<?php include (TEMPLATEPATH . '/sidebar2.php'); ?>
</div>
<div class="cleared"></div>
<?php get_footer(); ?>

The mod_culinar look like this

[Code moderated as per the Forum Rules. Please use the pastebin]

If anny body know i can i connect to other dathabase to display content. on the page.

Thanks.