HIMALAYA Movunrains, 335 
‘Now substituting as in the last equation uf for sine 3 we have, 
Rp 
g i _ & Tang. L. 
Tang. dz. = —~ ip 
kp 
823 
R'3 
aed : He eee 
Axso tangent dz, == 77 3 7,3 putting for this last it’s approximate 
value, : 
p23 Tang. 3 f9 
p ks 
multiplying by R' and reducing, we have finally, 
dz’. “te! f— 4* AJ being the first term. T= is found 
P SR 2 p 
in Table 12, and the term “2, may be taken at sight from Table 11, the 
argument being the approximate value of dz". 
For, an illustration of the formula take the same example, 
% = 5°882,421 
Log. f_ 9:999,904 Table 5. 
Tee 7-761,804 Table 12. 
Ist term, 44068  -3-644,129 
2d ditto, og 0-7 Table 1. 
4406. = 113 26 
As to the reduction of this result to that in the spherical it must be far 
below 3 second. For as the angles ADB, A EB, are the same, and as 
the angles P D A, P Ei A, differ in this extreme case only ~ of a second; 
it is evident that the inclination of the planes. P D A, A D B and A E B, 
must also be the same very nearly, or at least within the same limits: and 
VOL. XIV. . 4 Q 
