Display links for N to N 3 posts

I use the following code in a PHP include to display the last three posts on a non-wordpress page on my website:

<?php
  define('WP_USE_THEMES', false);
  require('/home/georgeek/public_html/news/wp-blog-header.php');
  query_posts('showposts=1');
?>
<?php
global $post;
$args = array( 'posts_per_page' => 3 );
$myposts = get_posts( $args );
foreach( $myposts as $post ) :	setup_postdata($post); ?>
<a href="<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title(); ?>"><?php the_title(); ?></a><br />
<?php endforeach; ?>

It works well but I would now like to generalize it to display not the last 3 posts but 3 posts starting from the Nth most recent post.

Any ideas please?

Thank you.