THE TOMOYE AND THE SWASTIKA 215 



of the latter, but do not overlap. The area of the enclos- 

 ing circle is thus divided into four areas, a, b, c and d 

 (see Fig. 60, A). The areas a, b are the two inscribed 

 circles. Each of the residual areas c, d is called (as Sir 

 Thos. Heath, F.R.S., kindly informs me) an " arbelus " by 

 ancient Greek geometricians — a name used for a rounded 

 knife used by shoemakers. The comma-shaped bent 

 cone or pine is formed by the fusion of one of the two 



Fig. 60. 



small circles with one of the adjacent arbeli (Fig. 60, B). 

 The figure so formed which to-day is loosely spoken of as 

 a " bent cone," a " pine," or a " comma," has never, so far as 

 I can ascertain, received a name in geometry, nor in the 

 language of decorative design or pattern-making. Nor 

 has the S-like line made by the two semicircles separat- 

 ing the contiguous "pines" or "commas" received any 

 designation though vaguely indicated by the word " ogee." 

 The comma-like areas might conveniently be called 



