( 1033 
in which g increases with 30° and + = 60°. For ¢, =0 = 73°54’; 
nx 
with increasing gy, A diminishes, becomes =O with g,= > , 
FOOR | . Aly 5 4 QQ°9Q/ 
= — 73°54’ with 9, == — > with ¢, = 199 28’ and reaches 
the value of — Za + 73°54’ with gv, = 22. 
It is further indicated in the figure, that with equal absolute 
values of g and o 4 is identical in the oetants T and VIII, Il and 
VII, III and VI, IV and V. In the central circle it is likewise 
indicated, that the cotangent in the quadrants 1 and 3 > 0, in 2 
and 4 <0. Now, as may be deducted from the diagrams fig. 4, 5 
n 
in the former communication, with @ << h varies for different values 
of 9 and o, in the octants I and VIII exclusively between 0 and 
7 oT 
—, in If and VII between 0 and — re In fig. 2 consequently the 
octants IT and VIII resp. ll and VII never extend over the quadrants 
Ll and 3; the oetants IV and V however do so over quadrant Land 
II] and VI over 4. Consequently if one finds from the ratio 
cos 6 cot a + sin 0 sin VY 
cot h = ———-____ 
COS Vv 
coth >0O, then 4 must be admitted in the first quadrant, if s (g, 0) 
lies in one of the octants I, IV, V or VIII, and in the 3"¢ quadrant 
if s lies in III or VI. If coth <0, then A lies in the 2rd quadrant 
with s in IV or V, and in the 4 if s lies in the I]™ or VII 
octani. 
n a 
As regards the planes with «#=— and « > the figure speaks 
2 2 
for itself. Consequently the results obtained here may be summarised 
in the following table : 
coth>0 | coth <0 
I TP SIN te vee va EW vill) | IP?) MT IV FOV | VE MEE PVU 
Pom 1-;—|3)};—/|/—/|3;—; 1 =| 4 2.12 ),—/ & ie 
