Use form variables in url

Hello all,

I have this little searchbox that does the trick:

<form action="http://www.mywebsite.com/projects/search" method="post" accept-charset="utf-8" name="searchform" id="searchform">
<input type="text" name="search_input" value="" id="search_input">
<input type="submit" name="search_button" value="Go" id="search_button" class="button button_blue">
</form>

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I really would like to share the search url with other people (nice clean url without the get variables), so if a user searches for the word 'books' the url that should be loaded/displayd should become:

http://www.mywebsite.com/projects/search/books

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Can this be done? And how?

Greetz,
walter