How would I go about finding an article that was published in The NEW York Times on August 6, 2005?

I did an exact date search on their archive page - these are the articles that popped up. (Don't know if you have to purchase them or what... )
NYTimes.com Search (http://query.nytimes.com/search/advanced/?srchst=nyt#/*/from20050806to20050806/)

Your public library or a university library in your area should have a Lexus-Nexus database subscription. Check with the reference desk to get a copy of this article.