234 IP Kock. 
Po— ors 
Pad 1 ree 
ke: 
zZ =2z--37--1+180° 
sl, Keos@=- 27) 
в = [2], K sin (z +7) 
y = 6050; log 4, — 3.9074 + 10 
4) = vSecyp, 
i, = vtan gy 
во = [3], vt, 
log 0 — log 6, +—4cF, 
logt = logt, +4cË, + 2cv’ 
log c — 3.9298 — 10 
L = w г № 
He —и. > [210 Zu № > [3], = 2 w M, 
ф and I are the given latitude and longitude of the starting point A. 
z is the given azimuth of the point B in A. 
o, and I, are the required latitude and longitude of point В. 
z’ is the required azimuth of A in В. 
Фо is an approximate value of фу. 
[1]. is taken from a table for argument u 
M,, is the radius of curvature of the meridian in the latitude 
w is the radius expressed in seconds. 
[2], is taken from a table for the argument ¢. 
N, is the radius of curvature in the normal segment to the meridian 
in the starting point. 
[3], is taken from a table for the argument фо. 
K is the triangle side AB. 
у is a spherical excess (positive when 2 is situated in the first and 
third quadrant; negative when z is situated in the second and 
fourth quadrant.) 
#5; to and в, are approximate values of #, t and 5. 
The value given for log c expresses all the c-corrections in units 
of the sixth decimal place. 
The computation from the above-mentioned formulæ becomes 
slightly indirect, in that the determination of 7 and [1],, demand а 
preliminary computation of s and v; but the final computation is 
restricted to a supplement of the preliminary one. As the accuracy 
with which the triangulation of the Danmark-Ekspedition was per- 
formed would make it absurd, on any point, to reckon with smaller 
units than tenths of seconds, the excess у only comes to play а part 
in the very largest triangles. The quantity [1],, may everywhere, with 
