I'm no pilot, but as Larry referred to, I believe a plane might be able to take off on one engine. Several variables come into effect I'm sure, such as the weight of the aircraft, the thrust being generated by the operating engine and maybe most importantly...the skill of the flight crew...
In 1979, an engine fell off American Flight 191 (a DC-10) as it took off from O'Hare. The plane rolled and crashed just outside the airport perimeter. Don't have a TV today but the early reports sound eerily similar.
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--Mike
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