Thanks for you reply Harry.
Yes I was going from PLANE GEOMETRY to SOLID GEOMETRY not to mention DESCRIPTIVE GEOMETRY
and surfaces like a curved triangular surface calls for GEODESIC GEOMETRY possibly leading us to ANALYTIC GEOMETRY OF SPACE
Other geometries are PROGECTIVE, DIFFERENTIAL and INTEGRAL.
[Or metric, or even coarse geometry, with the latter detecting only the geometry of a space “at infinity”. An amazing invention of some friends and colleagues around the world. Harry]