I usually write questions and answers on https://gis.stackexchange.com.
English is not my first language, and every time I have to write any of these terms I come back into doubt about which of the two corresponds.
A geodesic, can be understood as the shortest path (contained in a curved surface) between two points. (https://en.wikipedia.org/wiki/Geodesic)
But I have the problem when I have to refer to something related to geodesy (https://en.wikipedia.org/wiki/Geodesy), e.g., "geodesic distance", "geodesic calculations", "geodesic math", "direct geodetic problem", "geodetic datum", "geodetic coordinates".
I don't know which of the two terms I should use.
What is specifically the use that should be given to the terms "geodetic" and "geodesic"?