ANSWERS. 



Pages 29-33. 



(4) ^a, where a is the side of the hexagon. 



(5) At the centre of the incircle of the triangle formed by the mid- 

 points of the sides. 



(7) x=y = - r. 



TT 



(8) Taking OA as axis of x, 



- ry y _ 2 ^" 



x = ( sin a + cos a i ) , y = - (sin a a cos a) . 

 a 2 or 



(9) ;; = _ 



V2-f log(l+V2) 4 



(10) * = 7T0, J=|. 



(11) x=y = a. 



_ ^ . _ 



= 0, j^= -- hijF, where s = <:(<?<> e c ) . 

 sin - i cos - 



(15) With A as origin, ^ = 



- _,(a + a 

 =* 



. - , a . 



first approximation ^ = - = 4.02 in. ; 



second approximation x = \ --=4. 50 in. 



a -f- b 



PART II 12 177 



