76 Dividiny an Angle in an Arbitrary Ratio. 
_ The application of this theorem to the division of an angle 
is obvious, and is illustrated by fig. 2, in which a portion of 
fig. 1 is reproduced with additions. The points O, 1, 2,3, 4,5 
Fig. 1. 

are taken at equal distances along the perpendicular to OA; 
and the point “2 at a distance from O equal to the diagonal 
of a square whose side is the common distance. About each 
of these points a circular arc is described passing through O 
