Could someone suggest a good book on Geometry beyond what is taught in high school? I find co-ordinate geometry to be more algebraic than geometric and miss knowing the interesting properties of curves and shapes and bodies.
The first one if you want a bridge to modern geometry from common university math. The second if you want to start from abstract foundations at the early-undergraduate level.
I asked my father (retired math professor) and he responded
"I am not sure what book to suggest. But if your friend wants to get away from the algebra of coordinate geometry maybe a book on geometric constructions.—How to do things with a ruler and compass."
