Visualization of Parabola,
Ellipse and Hyperbola in Geogebra 3D Graphics
Applications -->
Education --> Geogebra
View --> 3D
Graphics
Hide the axes and
plane in the 3D graphics. For this Right click on the 3d graphic
window and uncheck Axes and Plane.
Make 3 sliders in
the Graphics window.
1. Number slider :
Name : a
Minimum =-10
Maximum = 10 Increment : 0.01
2. Angle slider
: Name α
Minimum =0o
Maximum = 360o
Increment : 5o
3. Angle slider
: Name β
Minimum =0o
Maximum = 90o
Increment : 5o
Mark
three
points
1. A=(0,0,0)
2.
B=(0,0,1)
3. C=
(0,0,a) Where a is the variable ( name of the number slider). By
moving the slider we can see a point is moving along the x axis.
Draw
three lines
1. f
= Line through C
and (1,0,a) . For this use the command Line[C,(1,0,a)]
in the input bar
2. g
= Line through (0,0,0)
and (0,sin(β),cos(β))
. For this use the command
Line[(0,0,0)
(0,sin(β),cos(β))]
in the input bar.
3. h
= Line through C parallel to line g. For
this use the command
Line[C,g]
in the input bar.
Draw
a vector AB. For this use
the command Vector[A,B]
(here its name is u. We
can see this from the algebraic view)
Vector[
, ]
For
drawing conic use the command Cone[A,u,α]
in the input bar. (Here
its name is b)
Cone[
, , ].
Hide
all the three lines .
Draw a plane through
the lines f and h . For this use the command Plane[f,h] in the input
bar. From the algebraic view we can understand the name of the plane.
Here it is c.
Now we can mark the
intersection between the conic and the plane by using the command
IntersectPath[b,c]
IntersectPath[
, ]
Include
text Parabola, Ellipse and Hyperbola in the 3d Graphics.
1 comment:
Very useful sir. Thank you
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