THEORY OF POLYCONIC PROJECTIONS. 



71 



Problem 14. — ^To construct the projections of the circles 

 parallel to a given cu-cle : 



Fig. 29.— Projection of circles parallel to given circle on 

 stereographic projection. 



In figure 29 let v'p' with center at (7 be the given circle. 

 Draw NcS and the perpendicular diameter WE\ draw 

 Wv'P' and W'pP', bisect the arc PP', thus locating Q the 

 pole of the given circle. From Q lay off the polar distance 



of the required parallel circle. In the figure QR = QR' = -^', 



draw WR and WR' , thus locating the extremities of the 

 diameter of the given circle rr'] the center is given by 



