APPLICATIONS OF ELLIPTIC FUNCTIONS TO PROBLEMS OF CL08UKE 97 



v„ v^, Vj, v^, then there are an infinite number of quadrilaterals, 

 u/uj'u^'u/ , Ui' 'U2' 'us' 'u/ ' J . . . , inscribed into the same circle 



with their sides similarly jyaScSi/i^ through -y,, v^, v„ v^. 

 sponding diagonals pass through two fixed points of I. 



Corre- 



Fie. 1. 

 2. If a quadrilateral has two of its vertices, u^, u^, on a cir- 

 cle and the two others, u^, u^, on a straight line and if its sides, 

 u{Uj, u.^u.^, v^u^, u^u^, pass through the points, v^, v,^, v^, v^ of the 

 circle. Fig. 2, then there are an infinite number of quadrilaterals, 

 u^' u^' u^' u^ , u^' ' u^' ' u^' ' uj ' , . . . having in a similar manner two 

 vertices on the given circle and two on the given line, and their 

 sides passing through the fixed points, -y,, v^, v^, v^. 



Fie. 2. 



