214 PROCEEDINGS OF THE AMERICAN ACADEMY 



2 -j- X = 23".0144 {t> —t ) — 0".0115 {V -\- t) — 0".000056 f^ 

 — 0".000210<2 



e'—V = 23".0144 {f — + 0".011") {t' + + 0".000210 t"^ 



-\- o".o()oo56 e 



d — 20".0652 {f — — 0'-.000048 <'^ -\~ 0".000048 f 



a =r « -j- z -j- ^ 



COS 8' sin a' = cos 8 sin a 



cos 8' cos a' = cos 8 cos « cos d — sin 8 sin d 



sin 5' = cos 8 cos a sin ^ -|- sin 5 cos d 



a' = a' -\-z' — V 

 Using Struve's constants, the values become : — 



z -\-l=L 23".0311 {f — — 0".0001922 e — 0".0000497 f' 



z' — V= 23 .0311 {f — <)-}- .0000497 ^^ _^ .0001922 f^ 



e =20 .0611 {f — t)-\-0 .0000432 t- — .0000432 ^^ 



. According to Bessel II., the formulae for the computation of these 

 quantities are, — 



I = 0".17926 t — 0".0002G60394 f 



0) = 23°28'18".0 + 0".00000984233 f 

 1/; = 50".37572 < — .0001217945 <-; 



1', (o', and \p', are the same functions of t'. 



J (z' — z)= 0".1011804 (<' + + 0".0000002446 {f -f ty 



tan h (z '+ z) = ^^i ('•'' + ") tan ^ (xp' — xp) 

 tan 1 ^ = ^h\(?L±ll tan i («>' + (A 



^ cos ^ (zi — z) ^ ^ ' ^ 



The time is counted from 1750. 



According to Struve and Peters, the time is counted from 1800, 



and I = 0".15119 t — 0".00024186 f^ 



w = 23°27'54".45 + .00000735 e 



t/j = 50 .3798 t — .0001084 f 



\{z' — z) =0 -.075573 {f + t) 



+ .0000001626 (<' + /)' 



