Effect of changing eye phi, Effect of changing eye psi, From the home screen or a program – Texas Instruments PLUS TI-89 User Manual

Page 180

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Chapter 10: 3D Graphing 163

10_3D.DOC TI-89/TI-92 Plus: 3D Graphing (English) Susan Gullord Revised: 02/23/01 11:00 AM Printed: 02/23/01 4:22 PM Page 163 of 22

By changing eye

f, you can elevate your viewing angle above the xy

plane. If

90 < eye

f

< 270

, the viewing angle is below the xy plane.

z1(x,y) = (x

3

y

-

y

3

x) / 390

In this example, eye

q

= 20

The view on the Graph screen is always oriented along the viewing
angles set by

eye

q

and

eye

f

. You can change

eye

ψ

to rotate the graph

around that line of sight.

z1(x,y)=(x

3

y

ì

y

3

x) / 390

In this example,

eye

q

=20 and eye

f

=70

The

eye

values are stored in the system variables

eye

q

,

eye

f

, and

eye

ψ

. You can access or store to these variables as necessary.

TI

-

89

:

To type

f or

ψ

,

press ¥ c j

[F]

or ¥ c

Ú

, respectively.

You can also press 2 ¿ and use the Greek menu.

TI

-

92 Plus

:

To type

f or

ψ

,

press 2

G F

or 2

G Y

respectively.

You can also press 2 ¿ and use the Greek menu.

Effect of Changing
eye

f

Note: This example starts
on the xy plane (eye

f

= 90)

and decrements eye

f

by 20

to elevate the viewing angle.

Effect of Changing
eye

ψ

Note: During rotation, the
axes expand or contract to
fit the screen’s width and
height. This causes some
distortion as shown in the
example.

When eye

ψ

=0

,

the z axis runs
the height of the
screen.

When eye

ψ

=90

, the z axis

runs the width of the screen.

As the z axis rotates 90

¡

, its

range (

ë

10 to 10 in this

example) expands to almost
twice its original length.
Likewise, the x and y axes
expand or contract.

From the Home
Screen or a Program

eye

ψ

=0

eye

ψ

=45

eye

ψ

=90

eye

f

= 90

eye

f

= 70

eye

f

= 50

z=10

z=

ë

10

z=10

z=

л

10

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