
Re: What does one call vector geometry without a coordinate system?
Posted:
Sep 2, 2013 3:48 AM


On Sunday, September 1, 2013 5:05:55 PM UTC4, Ken Pledger wrote: > In article <61d7b435a7c54a04bf2f26b8f4b6cd13@googlegroups.com>, > > lite.on.beta@gmail.com wrote: > > > > > 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. > > > > > > Other people have mentioned the theoretical _content_, but I think > > you're really interested in the _method_. Although some mathematicians > > don't have much experience of it, it's an efficient way of handling > > mechanics as well as some areas of geometry. I just call it "vector > > geometry". Some linear algebra textbooks have a chapter on it. >
Can you name one? Thanks

