Geography Reference
In-Depth Information
Fig. 10.2.
Principle for constructing a cylindrical map projection in the polar aspect (tangent cylinder:
Φ
0
=0
◦
).
Greenwich (1) and equator (2)
left Cauchy-Green matrix (G
r
=I
2
):
C
l
=J
l
G
r
J
l
=
R
2
cos
2
Φ
0
.
0
(10.3)
f
2
(
Φ
)
0
Left principal stretches:
Λ
1
=
C
11
G
11
=
cos
Φ
0
cos
Φ
,
(10.4)
Λ
2
=
C
22
G
22
=
f
(
Φ
)
.
R
Left eigenvectors of the matrix pair
{
C
λ
,
G
λ
}
:
D
Λ
X
C
1
=
E
Λ
=
D
Λ
X
(Easting)
,
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