The following formulas are used to convert a point P from the Cartesian coordinate pair (x, y) in the old system to the pair (u, v) in the new, translated, rotated system.

u = (x m) cosθ + (y n) sinθ

v = (y n) cos θ – (y n) sinθ

The inverse transformation is accomplished with the formulas below.

x = u cosθ v sinθ + m

y = u sinθ + v cosθ + n

The HP 32SII complex and polar–to–rectangular functions make these computations straightforward.

15–32 Mathematics Programs

File name 32sii-Manual-E-0424

 

Printed Date : 2003/4/24

Size : 17.7 x 25.2 cm