I've just come across a little problem while studying molecular geometry.
"Matthew, did you ever study geometry when you went to school?"
Ceva studied geometry for most of his long life.
What had Dionysios read, did he study geometry or music?
For example, suppose we wanted to study geometry with this type of axiom system.
It was not until much later that holonomy groups would be used to study Riemannian geometry in a more general setting.
This effect can be used to study molecular geometry and motion.
He studies mainly number theory and algebraic geometry with an arithmetic flavor.
He studied integral geometry and many other topics of mathematics and science.
So, they studied geometry by moving fixed length sticks around on a piece of paper.