NonEuclid is a Software Simulation offering Straightedge
and Compass Constructions in Hyperbolic Geometry (a geometry of Einstein's
General Relativity Theory and Curved Hyperspace) for use in High School
and Undergraduate Education.
This web site provides the platform independent,
NonEuclid software (written in 100% pure Java) together with a 25 page,
illustrated, hypertext introductory explanation of Hyperbolic Geometry.
Joel Castellanos - Research Staff, Dept.
of Mathematics, Rice University
Joe Dan Austin - Associate Professor,
Dept. of Education, Rice University
Ervan Darnell - Graduate Student, Dept.
of Computer Science, Rice University
Elliot Anshelevich - Undergraduate, Rice
Run NonEuclid Applet:
Click on the button below to run NonEuclid. NonEuclid is written
in 100% pure Java (v 1.1.3). If you do not see a button below it
means that your browser is not Java 1.1.3 enabled. Netscape
Communicator Professional Edition 4.05 can be Java 1.1.5 enabled.
Microsoft Internet Explorer 4.0 is Java 1.1.3 enabled.
Netscape Communicator Professional Edition 4.05. - Available
for Windows 95/NT, Solaris 2.4, Solaris 2.5.1, IRIX 6.2, HP-UX 10, AIX
4.1, and Linux. (during set-up, be sure to select "custom" and "Java
Microsoft Internet Explorer 4.0 - Available for Windows 95/NT,
Windows 3.1, Macintosh OS-8, and Solaris 2.5.
Download NonEuclid Stand-Alone Application:
There are two reasons why you may prefer to run NonEuclid as a Stand-alone
The link below will download the Java Archive (JAR) file of NonEuclid.
This Archive contains all of the NonEuclid program files (*.class) and
the NonEuclid help files (*.html and *.gif). The Archive can be expanded
with WinZip. All files in the archive should be placed in the same
directory. In spite of the fact that this is called a "Stand-Alone"
Application, you will need either a Java enabled browser or a Java Interpreter
to run the application.
The Java Security Manager does not allow applets to read or write to
your local drive. Therefore, when you run NonEuclid as an applet,
you can not save your work. However, when you install and run
NonEuclid as an application, you can save and open files on your local
You may want to run NonEuclid from computers that are not connected
to the Internet.
Running the NonEuclid Applet from a computer
without an Internet connection: Install a Java enabled browser on
the computer, and use it to open the file NonEuclid.html from the archive.
The page will look just like this one, except that when you click on a
link or on the NonEuclid applet button, the information will come from
the local archive (not from the Internet).
Running the NonEuclid Application from a computer
with or without an Internet connection: Install a Java Interpreter
on the computer. Also install a browser on the computer. The
browser does NOT need to be Java enabled. The browser will only be
used to display the NonEuclid help files (html and gif). To run the
NonEuclid application, type "java StartNonEuclid" from the command line.
To read the NonEuclid help files, use the browser to open "NonEuclid.html".
Download NonEuclid Java Archive
Applet/Application (if the JAR file loads into your browser,
then click with the RIGHT mouse button and select the option "save to disk",
or reconfigure your browser to save JAR files to disk).
Geometry: - Euclidean Geometry, Spherical Geometry, Hyperbolic
Shape of Space: - Curved Space, Flatland, Ourland, Mercury's Orbit.
and Proofs: - Euclid's Postulates, Hyperbolic Parallel Postulate,
SAS Postulate, Hyperbolic Geometry Proofs
- A=½bh, Altitudes of a Hyperbolic Triangle, A=s², Defect of
a Triangle, Defect of a Polygon, Properties Necessary for an Area Function,
Upper Bound to Area.
Using NonEuclid - My First Triangle
For The Teacher:
Themes by Artist/Mathematician, Clifford Singer.
Activities - How to get started Exploring:
- Adjacent Angles, Angles, General Triangles, Isosceles Triangles,
Equilateral Triangle, Right Triangles, Congruent Triangles, Rectangles
& Squares, Parallelograms, Rhombus, Polygons, Circles, Tessellations
of the Plane.
& Further Reading.
For more information, questions, bug reports, or comments send e-mail
to Joel Castellanos firstname.lastname@example.org
Copyright©: Joel Castellanos, 1994-1998