this post was submitted on 19 Jul 2023
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That aside is both a nitpick (the curvature of Earth is small enough on the local scale of a city that the differences are negligible) and it is wrong, as cartesian coordinates are planar and aren't useful for accounting for spherical curvature. "Euclidean" and "cartesian" are basically synonyms for this purpose.
Euclidian geometry is used for things on a globe.
non-euclidian spaces are those that are not spherical. Such as a flat earth.
Caretesian means to exist in an X-Y plane. Such as a grid in a city. Seems closer to your seeming intent.
This is incorrect. Euclidean geometry deals with planar geometry such as that which cartesian coordinates are used to describe. I mean, here's a quote from Wikipedia:
Spherical surfaces are even used as kind of the classical example of non-Euclidean geometry. For example, you can form a triangle along great circles on the surface of a sphere and have all three angles be right angles (90-90-90); something not possible in Euclidean/planer geometry. See the linked text.