Segae. — Insanity : Some Cotn/parative tStatistics. 



221 



than 45°, and therefore be effected by the construction of this article 

 with an error less than one-hundredth of a degree. 



Let the angle AOB lie between 45° and 90° (fig. 2). Draw OC 

 perpendicular to OA, and on the same side as OB. The angle BOG will 

 he less than 45°. Let OD, OE, be the trisectors, OD being the nearer to 

 00. The trisectors OK, OL, of AOB will make angles of 60° and 30° 

 with OB, OE, respectively; and the angles 60° and 30° are easily con- 

 structed with straight-edge and compass. 



Fig. 2. 



Fig. 3. 



Let the angle AOB he between 90° and 135° (fig. 3). Draw 00 as 

 before. The angle BOO will again be less than 45°. Let OD, OE, be the 

 trisectors, OD being nearer to OC. The trisectors OK, OL, of AOB will 

 make angles of 60° and 30° with OD, OE, respectively. 



Lastly, let the angle AOB lie between 135° and 180° (fig. 4). Produce 

 AO to C. The angle BOO will be less than 45°. Let OD, OE, be the 

 trisectors, OD being nearer to OC. The trisectors OK, OL, of AOB will 

 make angles of 120° and 60° with OD, OE, respectively. 



IluIlibrar 





Art. XXXL — Insanity : Some Comparative Statistics. 

 By H. W. Segar, M.A. 



[Head before the Auckland Institute, nth August, 1908.] 

 Introduction. 



The purpose of this paper is to supply some answer to three questions : 

 Are the native-born of this country less liable to insanity than the remainder 

 of the population ? Is that portion of the population which is not New- 

 Zealand-born more liable to insanity than the people they have left behind 

 in the countries of their birth ? And have the women of this country an 

 exceptionally small liability to insanity ? The answers w'hich this paper 

 will supply to the first two questions are in the negative, and the 

 answer to the third, w'hile in the affirmative, will not indicate a very great 

 difference betw^een the women of this country and those of England and 

 Wales. 



