
What does one call vector geometry without a coordinate system?
Posted:
Aug 30, 2013 7:30 PM


I remember in grade school (grade 8 or 9ish) we did geometry with vectors as a tool but without any coordinate system.
We often picked a random point and called it O, then proved things like if M was midpoint between two points A, B, then:
OM = 1/2 * (OA + OB)
A lot of stuff was proven with just points and vectors from points to other points (with the fact OX = XO used heavily).
What's the name of this geometry? I'm thinking of looking this stuff up again.

