Introduction to Engineering
2-D & 3-D Coordinate Systems
Coordinate Space in 2-D
5
A 2-D coordinate system
locates the origin at the
intersection of the X axis
(horizontal axis or
abscissa) and the Y axis
(vertical axis or ordinate).
These are called View
Coordinates.
Y
4
3
2
1
-X
X
0
-5
-4
-3
-2
-1 -1 0
1
-2
-3
-4
-5
-Y
2
3
4
5
Determine the Coordinates
point
6
D
4
2
0
-6
-4
-2
B
Y
8
A
-8
X
-2
-4
-6
-8
0
2
4
6
C
8
A
-3
6
B
-3
-2
C
6
-2
D
0
2
Coordinate Space in 3-D
In the 3-D coordinate
system the axes are
mutually
perpendicular, and the -X
origin (0,0,0) is
usually taken at the
intersection of these
axes.
-Y
Z
Y
X
-Z
Coordinates for the 3 Views and
Isometrics
Z
Task: Using the world
Y
coordinates convention
X
for computers and CAD,
determine the values of the coordinates for
points in multi-view drawings and isometric
drawings.
Note the Origin (0,0,0) can be set at an
arbitrary point.
World Coordinates
in the 3 Views
B
C
Y
D
A
X
B
B
C
C
Z
Z
A
X
D
A
D
Y
X
Y
Z
A
0
0
0
B
3
5
5
C
4
1
2
D 7
1
0
World Coordinates
in the Isometric
B
B
Z
C
A
D
Y
C
Y
D
X
A
X
B
B
C
C
Z
Z
A
X
D
A
Y
D
X
Y
Z
A
0
0
0
B
3
5
5
C
4
1
2
D 7
1
0
Assignment
Assignment #14
Isometric & Coordinates handout in
Assignment Packet