Beck, Bemerkungen zur nautischen Astronomie. 301 

 ) cotg -|- . ^ s = ( - cotg i (^r + qp - Ä) H- cotg I (2 - (p + ö) + 2 tg Ä ) 4/ 



-f ( cotg i (^ 4- qp _ d) — cotg i (2r -- g, -f Ä) + 2 tg (pj ^ 

 -f ( cotg ^{z-{-cp~d)-{. cotg ^(2-cp-^d)\ 



ztz 

 2 



tg -|- .^s= tg^^{--2 + (p-{-ö).^{-Jz + ^q}-j-J8) 



+ tg|( ^-f-qp4-5).i( Z^^-j-^gj + ^d) 



— tg5 .^8 



— ig (p.^cp 



= { t g I ( - ^ -f- qp + 5) -f tg 1 (^ + (p + ö ) - 2 t g Ä j ^ ^ 



+ ( tg|(-^-f 9 + ^) + tgA(^ + g, + ö)-2tg9)i/ 

 -f (-tg|(-5^-f qP-h5) + tgi(^ + g, + ^)y 



2 



^.^S= COtg|( ^r-fqp_5).l( z^2+zfqp-z/5) 



4-cotg|( z — cp-{-8).^{ Jz — dcp + ^8) 

 + tg i (-£;-[- (p + d) . i (- z^^ + zr g, + ^ö) 

 + tg|( 2 + 9 + ö).i( z^^ + z^9 + ^d) 



— cot 



9b) 



J 8 



g\{2 + cp-8)-\-cotsl{z-cp + 8)i-tg^(-z-^cp + S)-i-tgl{z-^<p + 8)'j^ 



cotg|(^ + 9-^)-cotg|(^-(p + 5) + tg|(-^ + (p + d)-ftgi(^4-tp+ö))^ 

 cotg^(z-\-(p-8)-{-cotg\(z-(p + 8)-tg{i-z-{cp-\-8) + tg\iz-\-<p+8)^"^,^ 



Jz 

 2' 



