Talk:Plane (mathematics)

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This article is within the scope of WikiProject Mathematics.
Mathematics grading:	Start Class	High Importance	Field: Geometry and topology
A vital article
All sections need expansion; needs less technical introduction to subject. Tompw 18:49, 5 October 2006 (UTC)

I'm not done with this page by a long shot; I see a few logical overhauls in its future. Still, if anyone wants to chip in, like 63.162.240.46 has recently, I promise not to completely undo your edits! Melchoir 21:02, 15 November 2005 (UTC)

Contents 1 algebraic geometry 2 Is this article accessible to enough people? 3 non-infinite planes 4 rendering graphics

[edit] algebraic geometry

Someone should write something about the affine plane in algebraic geometry, Spec k[x,y].

[edit] Is this article accessible to enough people?

I don't think it is. Terms like R³ and Euclidean Geometry, and objects like determinates and normal vectors need knowledge of degree level mathematics to understand.

I intend to restructure parts of the article to bring some concepts down to a simpler level where possible, e.g. using terms like 3 dimentional space instead of R³ where possible. And, I think, giving a warning and some guidance when the concepts do get compliacted, like links to web pages and books that will give a relevent introcuction to the theory.

I am for keeping all of the results - and am impressed by the expertise and effort shown by contributers - perhaps I may ask up to what level you have studied maths Melchoir?

So while I believe that the technical jargon is needed for some of the results, it is important to keep things simple. Fuzzyslob 12:16, 16 November 2005 (UTC)

Well, I carry a BA in pure math and a BA in physics, so I'm torn in several directions. I still remember, from years ago, slogging through Stewart's presentation of the material here and thinking that it was scatterbrained and inelegant. That's why I'm trying to emphasize vector notation, and why I want to write about the relationships between all the concrete descriptions of planes in the future.

As for accessibility, among other reasons, I wonder if this article should be split in two. Currently it's dominated by boring calculations in 3D; maybe we should split that material into a separate, more technical page, and try to expand on conceptual stuff here. What do you think?

Anyway, I'm interested in seeing what you have in mind, so fire away! Melchoir 14:37, 16 November 2005 (UTC)

[edit] non-infinite planes

Intuitively, [a plane] may be visualized as a flat infinite sheet of paper.

What about planes that are not infinite but rather limited, therefore creating a fraction of a infinite plane? --Abdull 17:39, 10 July 2006 (UTC)

[edit] rendering graphics

I can't read the R-cubed symbol on my browser. It just comes out as a blob!