The Coordinate Transforms Program

This program lets you transform three-dimensional coordinates between the rectangular, cylindrical, and spherical coordinate systems.

Introduction


The Coordinate Transforms program is designed to accept coordinates in any of three coordinate systems and convert them to any of the other coordinate systems. All angles are interpreted according to the angle unit setting of the calculator.

Coordinate Systems


Rectangular, Right-hand axes Cylindical Spherical
rectangular cylindrical spherical


Starting the Program

To start the Coordinate Transforms program, select { XFM } from the MATHEMATICS menu.
The program displays:
D_FRjNMa
{ R-C } - Transforms rectangular to cylindrical.
[ INV ] { R-C } - Transforms cylindrical to rectangular.
{ R-S } - Transforms rectangular to spherical.
[ INV ] { R-S } - Transforms spherical to rectangular.
{ C-S } - Transforms cylindrical to spherical.
[ INV ] { C-S } - Transforms spherical to cylindrical.

Entering the Coordinates

After displaying the COORD TRANSFORMS menu, use the following instructions to enter the original coordinates.
  1. Select the angle units you want to use.
  2. Select the type of transformation you want to perform
    The program prompts you to enter the original coordinates.
    For example, if you press { R-C }, the program displays:
    D_HRpJZj
  3. Enter the x-, y-, and z- coordinates, pressing the applicable key after entering each value.
  4. Press { EOD } to indicate you have finished entering the values.

Displaying the Results

When you press { EOD }, the program displays a menu that lets you display the transformed coordinates.
For example, if you are transforming values to cylindrical coordinates, the menu lets you display the radius, theta, and the z-coordinate.
D_BuyKzz
  1. Press the applicable key for the coordinate you want to display.
    The program displays the value of the selected coordinate.
  2. When you finish displaying the transformed coordinates, press { --> } to return to the input menu for the same type of transformation.

☚ Back