Use Formula (27) to show that if the length of the equatorialline on a Mercator
Chapter 7, Problem 63(choose chapter or problem)
Use Formula (27) to show that if the length of the equatorial line on a Mercator projection is \(L\), then the vertical distance \(D\) between the latitude lines at \(\alpha^{0}\) and \(\beta^{0}\) on the same side of the equator (where \(\alpha<\beta\) ) is
\(D=\frac{L}{2 \pi} \ln \left|\frac{\sec \beta^{0}+\tan \beta^{0}}{\sec \alpha^{\circ}+\tan \alpha^{\circ}}\right|\)
Equation Transcription:
Test Transcription:
L
D
alpha^0
beta^0
alpha< beta
D=L/2pi ln |sec beta^0 +tan beta^0/ sec alpha^0 +tan alpha^0|
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