Notation for a Line Segment

Question

I have a straight line segment joining two points ($i$ and $j$). I have a third point, $k$, that has a perpendicular distance to the line segment $\kappa_{\bot}$ (call this line segment of length $\kappa_{\bot}$ "*").

What exactly is the best notation to use to describe this line segment (*)? Is there an "official" way of doing this?

score 1 · Answer 1 · answered Aug 06 '14 at 16:59

1

It's the altitude relative to $[ij]$ in the triangle $ijk$.

answered Aug 06 '14 at 16:59

user5402

3,006

so what's the best notation? – apg Aug 06 '14 at 17:01
1

Let $h=proj_{(ij)}k$ then this segment is $[ih]=[i proj_{(ij)}k]$. – user5402 Aug 06 '14 at 20:13
There are other notations perhaps but why not define a notation for this line segment like $\perp_{(ij)}k$ or $\perp(k, (ij))$ and use it. – user5402 Aug 06 '14 at 20:23
I'm using $h_{\mathbf{r}_{ij}}$, mainly because altitude uses $h$. – apg Aug 07 '14 at 00:22

Notation for a Line Segment

1 Answers1