HP 33s hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 258

7. Press X N 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 g and see the y-coordinate, V, in the new system. 11. For another old-to-new transformation, press g and go to step 8. For a new-to-old transformation, continue with step 12. 12. Press X O 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 g to see X. 15. Press g to see Y. 16. For another new-to-old transformation, press g 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, 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. 15-36 Mathematics Programs