THEORY OF POLYCONIC PROJECTIONS. 145 



These values fully determine the projection, and all of the 

 elements can at once be computed. 



dp a cosec^ (p a^ cos^ <^ 



(Z^~ ~ (1 -€2 sin2 ^Y^'^ (1 -£2 sin2 ^^h 



— cb cosec^ (p-\-a e^ (1 +cos^ <p) 



(l-€2sm2 <^)^/^ 



ds ^ a(l— e^) — acosecV + ge^ (l + cos^^) 



d^~ {I- e2 sin2 <p) 'k + (i _ ^2 ^:^2 ^yi, 



a (1 — cosec^ <p) +ae^ cos^ <p 



_ —o> cot^ ip-\-a ^ cos^ ip 

 (l-e2sin2"^F^ 



_ — g cot^ ip{\—^ sin^ <^) 

 (l-e^sin^^)'/^ 



991943 O - 52 - 10 



