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Geographic coordinate conversion
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====Properties==== The following condition holds for the longitude in the same way as in the geocentric coordinates system: :<math>\frac{X}{\cos\lambda} - \frac{Y}{\sin\lambda} = 0.</math> And the following holds for the latitude: :<math>\frac{p}{\cos\phi} - \frac{Z}{\sin\phi} - e^2 N(\phi) = 0,</math> where <math>p = \sqrt{X^2 + Y^2}</math>, as the parameter <math>h</math> is eliminated by subtracting :<math>\frac{p}{\cos\phi} = N + h</math> and :<math>\frac{Z}{\sin\phi} = \frac{b^2}{a^2}N + h.</math> The following holds furthermore, derived from dividing above equations: :<math>\frac{Z}{p} \cot \phi = 1 - \frac{e^2 N}{N + h}.</math>
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