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Fig. 5.46 A
1
lies in quadrant III (m in quadrant IV, M in quadrant II, and
ʻ
1
lies in quadrant III,
ʻ
2
and 360º
) are in the same quadrant, and A
2
lies in quadrant I or II). Dashed line indicates
the back side of the sphere
(M +
˃
Fig. 5.47 A
1
lies in quadrant IV (m in quadrant IV, M in quadrant I,
ʻ
1
lies in quadrant IV,
ʻ
2
and
360º
) are in the same quadrant, and A
2
lies in quadrant II or I). Dashed line indicates the
back side of the sphere
(M +
˃
Table 5.9 Determination of the quadrant of the azimuths (A
1
and A
2
), longitudes (
ʻ
1
and
ʻ
1
), and
auxiliary quantities (m and M) in the solution of the geodetic problem (u
1
> 0)
A
1
mM
ʻ
1
ʻ
A
2
2
I
I
I
I
Same quadrant with (M + ˃)
tan A
2
positive, in quadrant III
tan A
2
negative, in quadrant IV
II
I
II
II
Same quadrant with 360
o
III
IV
II
III
(M + ˃)
tan A
2
positive, in quadrant I
tan A
2
negative, in quadrant II
IV
IV
I
IV
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