- #1

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Section : Mathematics of the Mercator projection.

For a map to be conformal should not it be $$k(\phi)=C,h(\phi)=C$$, or the shrinking coefficient shall be not only equal but homogeneous, in order to be conformal ? We then get two partial differential equations and their solution is Simply obtained by integrating a constant towards the variable of integration :

$$x(\lambda,\phi)=Ccos(\phi)\lambda$$

$$y(\lambda,\phi)=C\phi$$

Does this anyhow makes sense ?