RELATIONS PERTAINING SIMPLY 



[BOOK I. 



Lastly, in the formula III., R may always be used in place of the denominator 7? 

 without sensible error. The reduction of the time, the angles being expressed 

 in seconds, becomes 



206265&quot;. cos /? 



73. 



Example. Let I = 354 44 54&quot;, = 4 59 32&quot;, /=2429 , b = 46 53 , 

 L = 12 28 54&quot;, = + 0&quot;.49, 7? = 0.9988839, it = 8&quot;.60. The calculation is as 

 follows : 



log,?? 9.99951 



log 5 9.69020 



log BE 9.68971 



Hence log (B R + JT sin b) . 0.83040 



logcotan/3 .... 1.05873 n 



log ft 1.88913n 



logTt 0.93450 



log cos* 9.83473 



logl&quot; 4.68557 



log cos (lL) . . . 9.99040 



logTt 0.93450 



log sin b 9.86330 



log n sin b 



0.79780 



logp 1.88913n 



logl&quot; 4.68557 



log cos (X L) . . . 9.97886 



6.55356w 

 number 0.0003577 



5.44520 

 number -f 0.0000279 



Hence is obtained R = R -f 0.0003856 == 0.9992695. Moreover, we have 



log n cos b 0.76923 



log sin (l L) . . . 9.31794 

 C.log# 0.00032 



1.88913 



log sin (X L) . . 9.48371 n 

 G.logtf 0.00032 



0.08749 



1.37316 



number 1&quot;.22 



number + 23*61 



