The roots of (13) are consequently represented by: 
ys 
| 
1 ak 2° | Zo 
37 33 3 3 
BO, = 91358"; p= oe" 
1 2° | 1 
A B 
Bors 109 2816"; 19, == HAAG. 
cos 20, = a, — 
The corresponding values of 6 are calculated from (6): 
‘ a COS @ j esin O 
WINE = See -— 
nt? ie OEH 
cat” «, (cos y—1) cos Q + col*a,sin ¥ sing _ 
q cos Q + f sin 0 cot , sin y cos @ — cot «‚ (LHcosy)sing — 
abe 
. p — — (080 — —V asm 
(cos y—1) cos @ + sin y sing 3 re 4 ° 
4 Ee ae A = 
= — cot Ca — —_——— = ae ==, — cot «,— = = = SSS en 
sin y cos 9 — (L+cos y) sin 0 2 an 
= VENO 0 
3 N 
2coso + sno.Y2 1 
== — cot & — as Se = — cot a, 4 2 ts 3 V6 A ° (17) 
€ 7 | 
[2 .cos@ + sino 
in which however the term siz 9 4-2. cos o disappears in the nume- 
rator as well as in the denominator. 
From 
sno+ Y2.coco = 0 
one finds 
iqgvu = — va, 
to which corresponds 
@ = — 54°44'8" (or 180° —-.54°44'8") 
and this is one of the two values e,. Whilst from (17) results the 
value o= + 54°44'8" (or 180° — 54°44'8") the value of o corre- 
sponding to @ = — 54°44'8" must be calculated from (1). 
Bt ee ES 
COS O 
8 Ie aal 
Bn -— — /Y3cos 6 — 3 VY 0 sino 
en re F 
cyan 
1 
TA gree Pe So Or De oes st | (LB) 
2 1 
cos* © -}- 3 V3 cos 6 + 3 2 (1 — cos? 6) 
5 
fa Bag, Wee 0 — | 
