HP -32S Owner's Manual page 203

5. Key in the rotation angle T and press IR/s I.
6. To translate from the old system to the new system, continue
with instruction step 7. To translate from the new system to the
old system, skip to step 12.
7. Press fxEQl N to start the old-to-new transformation routine.
8. Key in X and press IR/S I.
9. Key in Y, press flTsl, and see the x-coordinate, U, in the new
system.
10. Press fR/sl and see the y-coordinate, V, in the new system.
11. For another old-to-new transformation, press IR/S I and go to
step 8. For a new-to-old transformation, continue with step 12.
12. Press fXEQl O to start the new-to-old transformation routine.
13. Key in U (the x-coordinate in the new system) and press IR/sI.
14. Key in V(the y-coordinate in the new system) and press IR/SI to
see X.
15. Press Ir/sI to see Y.
16. For another new-to-old transformation, press IR/S I and 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, 0, 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.
Remarks: For translation only, key zero for T. For rotation only, key
zero for M and N.
Example: For the coordinate systems shown below, convert points
Pv P2, and P3, which are currently in the (X,Y) system, to points in
the (X',Y') system. Convertpoint P\, which is in the (X',Y') system, to
the (X,Y) system.
12: Mathematics Programs 201