208 



Transac tions . — Miscellaneous . 



Sin A x sin A 2 sin A 3 sin A 4 (from column 5) = 0-1612581 

 Sin Bj sin B 2 sin B 3 pin B 4 „ = 0-1612362 ~ 



.•. 1 + € = 1-0001358. 



.-. e = + 00001358 radians. 



.V c = 4- 28"-01. 



Ci + C 2 = C 8 + C 4 + e (from column 4). 



.-. 31"-67 + 41"00 = 47"33 + 30"-34 + e# . 

 .-. Co = _ 5"-00. 



i = i2(^ + ^ + C 2) = + 21-132 (from column 8). 



1 + 



ft — C-[ ~r C2 Cg 



i = 4. 



c 4 = - 0-795 



The equations for P and Q are — 



hP + 2iQ + e = O. 

 2A;P + hQ + € =0. 



Substitute the values of h, k, i, e and e, and the equations 

 become — 



- 0-795 P + 8Q- 5-00 = O. 

 + 42-264 P - 0-795 Q + 28-01 = O. 



Solving these equations for P and Q, we obtain — 



P = - 0652. 

 Q = + 0-560. 



Checks on Final Angles. 



Sin Aj sin A 2 sin A 8 sin A 4 = 0*1612457 (from column 13). 

 Sin Bj sin B 2 sin B s sin B 4 = 01612457 



d + C = 75"06 (from column 12). 

 C 8 + C 4 = 75"-06 



