Talk:Intersection (geometry)

Is intersection the right title ?

The article deals only with single intersection points. The new title might be to general. There is another article intersection curve. How do they fit together ? --Ag2gaeh (talk) 15:45, 29 January 2014 (UTC)[reply]

Certainly I thought of it when moved the page, but I couldn’t instantly fix all shortcomings. If you intersect, say, a line and a a general quadric in 3D (even with non-degenerate quadratic form), then you can’t know a priory which intersection will appear. It can be empty, one tangential point, two transversal points, or the entire line. So it would be inconvenient to restrict the article to points and make special sections in intersection curve or wherever about degenerate cases in “line ∩ one-sheet hyperboloid” or “circle ∩ sphere”. You listed several problems – good, but it’s the geometry of a Euclidean space what do you write about, not “intersection points” in more general contexts (such as of differential geometry or algebraic geometry). Incnis Mrsi (talk) 19:11, 29 January 2014 (UTC)[reply]