CATALOGUE OF 



ARS 



245 



Computation of 



dP 



By Bessel's Formula?. 



By Hill's Formulae. 



By Title's Formula. 



log tan 2 d 

 loe sin 2 u 



3.5107897 



9.9326452 



9.5786708rc 

 log constant 3.7548891n 



6.7769948 



log cos cc 



log (1) 

 log tan d 



loir sin a 



1.7553949 

 9.90632-26 



log cos a 



log sin a 

 log constant 



log (1) 

 log cos a 



log constant 



log (2) 



log sin 2 a 



9.9663226 

 2.0359378 

 2.0022604 



9.5786708» 



log sin a 

 log constant 



log (1) 

 log cos a 



9.9663226 

 2.0359378 

 2.0022604 



9.r>7.M»708» 



4.0004500k log constant 4.0004f>00» 



3.5791208 



9.9326452 



log (2) 



log sin- a 



8.579120s 



9.9326452 



9.5786708?* log cos a 9.5786708n log co « 9.5786708k 



log constant 4.1162302k log constant 3.2777678n 



log (2) 



5.4166185 



log constant 



log cos a 9.578670S» 



4.0757367k 



3.6544075 

 8.7360124* 



3.2777678 



(3) 



log cos 3 a 

 log constant 



log (4) 



log sin a 9.9663226 



g sin 2 a 



log constant 

 log (5) 



lo 



log tan d 



log constant 



log (6) 



2.0359378 

 2.0022604 

 9.9320452 

 1.7553949 

 2.4009130 

 4.0889531 



log (3) 



log sin 2 a 

 log tan 8 



2.7890838 

 9.8460234n 



1.7553949 



2.0137802/1 log tan 8 



log constant 3.8152002n 



log (4) 5.4106185 



9.9326452 

 1.7553949 



log sin 2 a 



log constant 2.4009130 

 log (5) 



<r sin** a 



lo 



loir cos a 



4.0889531 

 9.9326452 

 9.5786708n 

 3.5107897 

 log constant 3.7548891n 

 log (6) 6.7769948 



log tan 2 8 



log constant 8.2777678k 



2.7890888 



+ .000000010 



+ 

 + 



379 

 62 



+ .000000451 



log (3) 



(1) 



(2) 



(3) 



Q 



log sin 2 a 



log constant 2.4009180 



log (4) 2.3885582 



log sin a 9.9668226 



log cos a 9.5780~08?t 



log constant 4.1162302 



log (5) 3.6612236 



9.9326452 



(4) +.000000021555 



(5) + 



458378 



Q t +.0000004799.;:; 



log Qy 



log tan 8 



8.6811806 



1.755."949 



log Q t tan 8 5.4365755 



log sin- a 9.9826452 



9.5786708* 



8.754 «891« 

 log Q % 8.2662061a 



log tan* 3 8.5107897 



log O t tan 2 8 6.7709948 



1 og cos a 



log constant 



rr 



(1) + 0.00059840 



(2) + 



// 



rr 



(3) + 

 (4) 



(5) + 



(6) + 



d*8 



dP 



2610 



45 



1 



1 



123 



+ 0.00062618 



(1) + 0.00000001 



(2) + 



(3) + 



(4) + 



(5) + 



(6) + 



d*8 



dt 



3 



38 



6 



2610 



123 



59840 



+ 0.00062618 



Q 



Q t tan 8 + 

 ft tan 2 8 + 



d*8 



d( 



s 



+ 0.00000045 



2733 

 59840 



+ 0.00002018 



