Geoscience Reference
In-Depth Information
Fig. 5.44 A
1
lies in quadrant I (m, M, and
are in the same
quadrant, A
2
is in quadrant IV or III). Dashed line indicates the back side of the sphere
ʻ
1
are all in quadrant I,
ʻ
2
and M +
˃
Fig. 5.45 A
1
lies in quadrant II (m in quadrant I, M and
are in the
same quadrant, A
2
is in quadrant IV or III). Dashed line indicates the back side of the sphere
ʻ
1
in quadrant II,
ʻ
2
and M +
˃
III; when tan A
2
is negative, A
2
lies in quadrant IV. The above conclusion also
applies to the condition where A
1
lies in quadrant II (Fig.
5.45
).
However, when A
1
lies in quadrants III and IV (Figs.
5.46
and
5.47
),
ʻ
2
is in the
same quadrant as 360
∘
). When tan A
2
is positive, A
2
is in quadrant I;
when tan A
2
is negative, A
2
is in quadrant II.
From the above four figures, it is not difficult to obtain the quadrant table of m,
(M +
˃
M,
λ
2
, and A
2
when u
1
is positive (in the northern hemisphere); see Table
5.9
.
When u
1
is negative (in the southern hemisphere), we obtain another table, which is
omitted here.
ʻ
1
,
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