z= — 
z' (sin v eos o eos x — sin w sin x) — y' (sin w eos x 4 sin ¢ cos w sin x) + 
  
  
  
Fig. 3. Second arrangement of the coordinate systems and the rotations. 
o * 
+ 4^ (sin g sin c sin x cos x — cos q cos? x) 
-- csin g cos o (x' cos x 4- y' sin x) — c? eos y] do 
h 
B p: { + y?) sin 9 cos o + ex' (sin o sin o sin x — cos q COS x) 
— cy’ (sin o sin c cos x + cos g sin 22) dx (9) 
1.2. Rotation sequence O0, 9, x. 
For the arrangements of axes and rotations as demonstrated in 
fig. 3 the complete projective relations are 
h (x' cos o cos x — y' cos p sin x — c sin @) 
- : pa 4 : rr , (10) 
x’ (sin 9 eos o cos x — sin c sin x) — 9/' (sin o eos x 4- sin 9 cos o sin x) 4- € cos q cos o 
h Íx' (sin o sin o eos x — eos o sin x) + 4/' (eos o eos x — sin g sin o Sin x) 4- c eos« sin o! 
Ps e =u SALT: / ] j 
— — | t 1 (11) 
C COS q cos ©