This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects:

Mathematics Mid‑priority This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics Mid This article has been rated as Mid-priority on the project's priority scale.

the definition is correct but misleading in combination with the image:

A = a, but B != b

i think it is better to use the formula:

(1-t)a+tb

(and change the b!=0 assumption to a!=b) so that a and b correspond to the endpoints of the line segment as expected.

—Preceding unsigned comment added by 193.175.8.13 (talk • contribs) 18:05, November 7, 2006

I've changed a and b to ${\displaystyle \mathbf {u} }$ and ${\displaystyle \mathbf {v} }$ to emphasize that they are vectors and added that ${\displaystyle \mathbf {u} }$ and ${\displaystyle \mathbf {u+v} }$ are the end points of ${\displaystyle L}$. This should help reduce the confusion. Paul August ☎ 00:28, 8 November 2006 (UTC)Reply

The definition of a line is incorrect....a line is basically an arc with infinity radius-not the opposite as mentioned in this article. A arc with zero radius does not exist since it will be reduced to a point. So a line segment could be defined by an infinity succession of points between two boundary point. The sucession of infinity points is contained in a segment of arc with infinity radius..! Otherwise we would need to discuss the term straight! — Preceding unsigned comment added by 216.126.163.35 (talk) 17:40, 18 October 2023 (UTC)Reply

The article says zero curvature, not zero radius. —Tamfang (talk) 07:00, 28 October 2023 (UTC)Reply

line segmets —Preceding unsigned comment added by 12.202.251.108 (talk) 20:08, 22 May 2008 (UTC)Reply

Line segments are a succession of points between two points in the space..The succession of point is contained in an arc with infinite radius. — Preceding unsigned comment added by 216.126.163.35 (talk) 17:44, 18 October 2023 (UTC)Reply

In the current version, we have on top of the page a picture that suggests that a line segment is defined to be the conjunction of two vectors. Can anybody make sense of that? Else I propose that the picture is deleted. Bob.v.R (talk) 14:50, 11 October 2012 (UTC)Reply

The intersection of two rays, rather (and not just any two). It's not the definition I'd use, but it works. —Tamfang (talk) 19:35, 11 October 2012 (UTC)Reply

Should the definition of a line segment not be restricted to real vector spaces (real affine geometries) or, if a generalization ist intended, to vector spaces over ordered fields ? Ag2gaeh (talk) 15:27, 19 July 2015 (UTC)Reply

Hi all. Quick question: Why does 1-ball redirect to here? There's no explanation of 1-ball in the article. Devinthepeng (talk) 15:37, 24 May 2016 (UTC)Reply

I've re-targeted the redirect to n-ball. fgnievinski (talk) 17:16, 24 May 2016 (UTC)Reply