PARTICULARLY APPLICABLE TO SOME GEODETICAL PROBLEMS. 125 



24. Formula VI. may be easily computed along with Formula V 

 as a verification of it, for the same logarithms serve to find the coeffi- 

 cients of sin a, sin /3, sin y, in both. In this way I have found 



- sin a = -0366804 

 ^ sin /3 = 1031017 



c 



-; sin 7 = 1704097 



^ sin a + ^ sin /3 + - sin 7 = -3101918 (Ar. Com.) 0-5083697 



0-7265456 



a 

 a 

 h 



y M337672 



1-2916620 

 4-1571939 

 40011255 

 *^" ^ 9-9945029 



c 

 h 



c 



a;" 



7-8131668 



X = 8064-61 3-9065834. 



This calculation involves more logarithms than either of the former - 

 however, some of them occur twice. ' 



25. The angular calculus applies with great advantage to the so 

 lution of problems of the kind which we have been considering. Re- 

 suming the consideration of the triangles ABC, ABC (Fio- 5 No 

 1. and 2), and the notation of Art. 10, we have by Trigonometry and 

 Formulae IV. 



A 

 sin ex ^y ?! * = 5 sin /3 h 



sin 7 c ' h' c w ' '^ ~ %' 



sm bx 



