Mr Grace , On the Zeros of a Polynomial. 357 
hence either P x or P 2 lies inside a circle whose centre is 0 and 
whose radius is OA JS = OA cot ^ , unless both points lie on this 
O 
circle. 
Further since 0P X , 0P 2 are equally inclined to AB it follows 
that they are on different sides of the line bisecting AB at right 
angles. 
26—2 
