HP 33s User Manual page 258

t
7. Press N to start the old–to–new transformation routine.
8. Key in X and press
9. Key in Y , press
¥
10. Press and see the y –coordinate, V , in the new system.
11. For another old–to–new transformation, press
new–to–old transformation, continue with step 12.
t
12 . Press O to start the new–to–old transformation routine.
13. Key in U (the x –coordinate in the new system) and press
14. Key in V (the y –coordinate in the new system) and press
¥
15. Press to see Y .
16. For another new–to–old transformation, press
old–to–new transformation, go to step 7.
Variables Used:
M
N
T
X
Y
U
V
Remark:
For translation only, key in zero for T . For rotation only, key in zero for M and N .
Example:
For the coordinate systems shown below, convert points P
currently in the ( X , Y ) system, to points in the ( X' , Y' ) system. Convert point P'
which is in the ( X' , Y' ) system, to the ( X , Y ) system.
15–36
Mathematics Programs
¥
.
¥
, and see the x –coordinate, U , in the new system.
The x –coordinate of the origin of the new system.
The y –coordinate of the origin of the new system.
The rotation angle, , between the old and new systems.
The x –coordinate of a point in the old system.
The y –coordinate of a point in the old system.
The x –coordinate of a point in the new system.
The y –coordinate of a point in the new system.
¥
and go to step 8. For a
¥
.
¥
to see X .
¥
and go to step 13. For an
, P and P
1 2
,which are
3
,
4