HP 33s Scientific manual 15-36Mathematics Programs, Remark

7.Press XN to start the old–to–new transformation routine.

8.Key in X and press g.

9.Key in Y, press g, and see the x–coordinate, U, in the new system.

10.Press gand see the y–coordinate, V, in the new system.

11.For another old–to–new transformation, press gand go to step 8. For a new–to–old transformation, continue with step 12.

12. Press XO to start the new–to–old transformation routine.

13.Key in U (the x–coordinate in the new system) and press g.

14.Key in V (the y–coordinate in the new system) and press gto see X.

15.Press gto see Y.

16.For another new–to–old transformation, press gand go to step 13. For an old–to–new transformation, go to step 7.

Variables Used:
M	The x–coordinate of the origin of the new system.
N	The y–coordinate of the origin of the new system.
T	The rotation angle, θ, between the old and new systems.
X	The x–coordinate of a point in the old system.
Y	The y–coordinate of a point in the old system.
U	The x–coordinate of a point in the new system.
V	The y–coordinate of a point in the new system.

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 P1, P2 and P3,which are currently in the (X, Y) system, to points in the (X', Y') system. Convert point P'4, which is in the (X',Y') system, to the (X,Y) system.

15–36Mathematics Programs