|
|
|
|
![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
coordinate way
|
(Definition)
|
|
|
Let $P = (x,\,y,\,z)$ be a point in $\mathbb{R}^3$ . If $N$ is the projection of $P$ on the $xy$ -plane, $A$ the projection of $N$ on the $x$ -axis and $O$ the origin, then the broken line $PNAO$ is the coordinate way of the point $P$ . The lengths of the line segments forming the coordinate way are $$AO = |x|,\quad NA = |y|,\quad PN = |z|.$$
|
"coordinate way" is owned by pahio.
|
|
(view preamble | get metadata)
| Other names: |
coordinate broken line |
This object's parent.
|
|
Cross-references: line segments, lengths, broken line, origin, projection, point
There are 2 references to this entry.
This is version 8 of coordinate way, born on 2007-08-15, modified 2007-08-19.
Object id is 9865, canonical name is CoordinateWay.
Accessed 1217 times total.
Classification:
| AMS MSC: | 51-00 (Geometry :: General reference works ) | | | 51G05 (Geometry :: Ordered geometries ) | | | 51N20 (Geometry :: Analytic and descriptive geometry :: Euclidean analytic geometry) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
