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authorCharles Karney <charles.karney@sri.com>2020-10-22 11:01:29 -0400
committerCharles Karney <charles.karney@sri.com>2020-10-22 11:01:29 -0400
commit02ef4ed32e15ea386ad3285e72e1bb7e4c188f05 (patch)
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Flesh out the documentation for Mercator
This addresses item 1 in issue #2387 Things to note: * I made "editorial" changes to the text. The virtues and vices of Mercator are a hot topic. So check these out. (I judged that the text I replaced to be pretty misleading.) * I include the radius of the sphere/ellipsoid in the formulas (and I did this also for my mods for tmerc documentation). Surely this is better than leaving the reader to figure out how this is introduced. * I include the "old-style" (ca 18th century) formulas and the newer ones in terms of hyperbolic functions. The former may be the familiar ones, but the latter are better for computation (more succinct, more accurate, faster, preserve parity). * For the inverse ellipsoidal transformation, I just say that the formula for psi is inverted iteratively. This is probably sufficient, but it could be expanded later.
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