HP 32SII User Manual

Page 262

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15–36 Mathematics Programs

File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm

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

f

.

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

f

to see X.

15. Press

f

to see Y.

16. For another new–to–old transformation, press

f

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 f 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 stems shorn below, convert points P

1

, P

2

and P

3

,which are

currently in the (X, Y) system, to points in the (X', Y') system. Convert point P'

4

,

which is lid the (X',Y') system, to the (X,Y) system.

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