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THE HORSE OPERATES A MILL AND TRAVELS IN A CIRCULAR CLOCKWISE DIRECTION. THE TWO OUTSIDE LEGS WILL TRAVEL A GREATER DISTANCE THAN THE TWO INSIDE LEGS THE ADVICE WAS TO ADD HIS HORSE TO THE GROUP OF HORSES, TO MAKE A TOTAL OF 18 HORSES. THE OLDEST SON WILL GET HALF - 9 HORSES. THE MIDDLE SON WILL GET ONE THIRD - 6 HORSES THE YOUNGEST SON WILL GET ONE NINTH - 2 HORSES THERE IS NOW 1 REMAINING HORSE WHICH BELONGS TO THE TRAVELING MATHEMATICIAN A SQUARE MANHOLE COVER CAN FALL INTO THE MANHOLE AS THE DIAGONAL LENGTH OF A SQUARE MANHOLE IS GREATER THAN THE SIDES. A ROUND MANHOLE COVER CAN NEVER FALL INTO THE MANHOLE CONNECT THE MIDPOINT OF EACH OF THE FOUR SIDES WITH FOUR STRAIGHT LINES TO FORM ONE SQUARE. THEN REPEAT THE PROCEDURE ON THIS NEW SQUARE TO FORM A SQUARE AROUND THE CENTRE HORSE