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 July 2nd, 2013, 02:04 PM #1 Newbie   Joined: Feb 2012 From: A deep,dark hole in the ground Posts: 16 Thanks: 0 General term for lines, planes, etc. Say you have the Euclidean space $\mathbb{R}^n$. What would you call the set of points resulting from graphing a linear equation of $n$ variables in that space, i.e. a line in $\mathbb{R}^2$, a plane in $\mathbb{R}^3$, etc. Is there a general term for such a set of points in $n$-dimensional Euclidean space?
July 3rd, 2013, 11:32 AM   #2
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Re: General term for lines, planes, etc.

Quote:
 Originally Posted by LordofthePenguins Say you have the Euclidean space $\mathbb{R}^n$. What would you call the set of points resulting from graphing a linear equation of $n$ variables in that space, i.e. a line in $\mathbb{R}^2$, a plane in $\mathbb{R}^3$, etc. Is there a general term for such a set of points in $n$-dimensional Euclidean space?
hyperplane
http://en.wikipedia.org/wiki/Hyperplane

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