Interactive Non-Euclidean Geometry
1.0
Interactive Non-Euclidean
Geometry is an
interactive program for
creating ruler and compass constructions in euclidean, spherical and hyperbolic
geometry.
This program has
been created by Carlos Criado-Cambon and Juan-Carlos Criado-Alamo. Universidad
de Malaga (UMA).
For any
comment write to: c_criado@uma.es.
Introduction
This
program has been created for drawing in euclidean,
and spherical geometries, and
also in the four most popular models of hyperbolic geometry. You can put points, lines,
segments, circles, and analyze distances, angles and triangle areas. You can
move points checking the drag&drop tool. You can see your picture in four
different models at the same time.
The four models of hyperbolic geometry
You can
draw and view simultaneously in these four models:
·
Klein model.
·
Poincaré model.
·
Half-plane model.
·
Hemisphere model.
The ‘point’ tool
If you want
to plot points you can check this option. Move the mouse over any one of the
models and the help shows you the position. Click over the site where you want
to put the point with the left button.
The points
are the basic option of this program because all the other options need points
to work.
Selecting points
Click over
a point to select it.
Note: -In
spherical geometry and in the hemisphere model in hyperbolic geometry you can
put and select points in the back side by using the right button of the
mouse. You can also change the point of view using the lateral Trackbar. .
The ‘drag&drop’ tool
You can
move the points with this tool. All the objects associated with the point that
you are moving will be moved too. Check the option and press the mouse over the
point; then, move the mouse while you keep the button tight.
The others tools
Ø
Segment tool. Select two points to create the
corresponding segment.
Ø
Line tool. Select two points to create the
corresponding line.
Ø
Circle tool. Select two points (center and
radius) to create a circle.
Ø
Distance tool. Select two points to see the distance
between them.
Ø
Angle tool. Select three points to see the
angle ( < 180º ) between them.
Ø
Triangle area tool. Select three points to see the
area of the corresponding triangle.
(For
3D-Euclidean Geometry see Geomet3D)