Biology Reference
In-Depth Information
225
TRANSLATION AND ROTATION OF CARTESIAN
COORDINATES
In two dimensions, to translate the original of one Cartesian coordinate
system (x,y) to a point (a,b) results in a new coordinate system (x',y') as
shown in Fig. A-1.
Figure A-1.
Translation of coordinates in two dimension.
The new coordinates are given by:
x' = x
-
a,
and
y' = y
-
b.
In two-dimensional rotation, let the angle of rotation at the origin by As
shown in Fig. A-2, a point represented by (x,y) in the original coordinate
system is then denoted as (x',y') in the new coordinate system. The values
of x' and y' can be calculates by the construction illustrated in that figure.
