Mr Grace, On the Zeros of a Polynomial. 357 



hence either P x or P 2 lies inside a circle whose centre is and 

 whose radius is OA Jd — OA cot ^ , unless both points lie on this 



o 



circle. 



Further since 0P 1} OP* are equally inclined to AB it follows 

 that they are on different sides of the line bisecting AB at right 

 angles. 



26—2 



