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Re: What does one call vector geometry without a coordinate system?
Posted:
Sep 2, 2013 3:48 AM
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On Sunday, September 1, 2013 5:05:55 PM UTC-4, Ken Pledger wrote:
> In article <61d7b435-a7c5-4a04-bf2f-26b8f4b6cd13@googlegroups.com>,
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> lite.on.beta@gmail.com wrote:
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> > I remember in grade school (grade 8 or 9ish) we did geometry with vectors as
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> > a tool but without any coordinate system.
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> >
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> > We often picked a random point and called it O, then proved things like if M
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> > was midpoint between two points A, B, then:
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> >
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> > OM = 1/2 * (OA + OB)
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> >
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> > A lot of stuff was proven with just points and vectors from points to other
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> > points (with the fact OX = -XO used heavily).
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> >
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> > What's the name of this geometry? I'm thinking of looking this stuff up
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> > again.
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> Other people have mentioned the theoretical _content_, but I think
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> you're really interested in the _method_. Although some mathematicians
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> don't have much experience of it, it's an efficient way of handling
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> mechanics as well as some areas of geometry. I just call it "vector
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> geometry". Some linear algebra textbooks have a chapter on it.
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Can you name one? Thanks
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