AMERICAN AIRLINES FLIGHT 73 (N142AA) WAS HOLDING IN POSITION ON RUNWAY 32R. AMERICAN AIRLINES FLIGHT 489 (N497AA) WAS CLEARED FOR TAKEOFF ON RUNWAY 9L. SHORTLY AFTER THIS, AMERICAN AIRLINES FLIGHT 873 WAS CLEARED FOR TAKEOFF ON RUNWAY 32L, FROM T1 INTERSECTION. BOTH FLIGHT 73 AND FLIGHT 873 ACKNOWLEDGED THE CLEARANCE AND INITIATED TAKEOFF ROLLS. THE LOCAL CONTROLLER DID NOT DETECT THE CONFUSION. A NEAR COLLISION OF TWO OF THE AIRCRAFT OCCURRED WHEN FLIGHT 489, IN THE INITIAL CLIMB PHASE OF FLIGHT, PASSED OVER FLIGHT 73, ON TAKEOFF ROLL, IN THE INTERSECTION OF RUNWAYS 32R AND 9L.