Joel Castellanos - Graduate Student, Dept. of Computer Science, University of New Mexico
Joe Dan Austin - Associate Professor, Dept. of Education, Rice University
Ervan Darnell - Graduate Student, Dept. of Computer Science, Rice University
Italian Translation by Andrea Centomo, Scuola Media "F. Maffei", Vicenza
Funding for NonEuclid has been provided by:
CRPC, Rice University
Institute for Advanced Study / Park City Mathematics Institute
If you do not see the button above, it means
that your browser is not Java 1.3.0 enabled. This may be because:
1) you are running a browser that does not support Java 1.3.0,
2) there is a firewall around your Internet access, or
3) you have Java deactivated in the preferences of your browser.
Both Netscape 6.2 and Microsoft Internet Explorer 6.0 include Java 1.3.0.
Click on the link above to download a compressed archive of NonEuclid. This archive can be moved to a computer without an Internet connection, and uncompressed using WinZip. Uncompress the archive into a single directory. Then open the file named "NonEuclid.html" with Netscape, Internet Explorer or some other browser.
|Using NonEuclid - My First Triangle|
|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.|
|What is Non-Euclidean Geometry: - Euclidean Geometry, Spherical Geometry, Hyperbolic Geometry, and others.|
|The Shape of Space: - Curved Space, Flatland, Ourland, and Mercury's Orbit.|
|The Pseudosphere: - A description of the space of which NonEuclid is a model.|
|Parallel Lines: - In Hyperbolic Geometry, a pair of intersecting lines can both be parallel to a third line.|
|Axioms and Theorems: - Euclid's Postulates, Hyperbolic Parallel Postulate, SAS Postulate, Hyperbolic Geometry Proofs.|
|Area: - Exaimation of A=½bh and A=s² in Hyperbolic Geometry, Properties Necessary for an Area Function, Altitudes of a Hyperbolic Triangle, Defect of a Triangle, Defect of a Polygon, and an Upper Bound to Area.|
|X-Y Coordinate System: - A description of how an x-y coordinate system can be set up in Hyperbolic Geometry.|
|Disk and Upper Half-Plane Models: - An informal development of these two models of Hyperbolic Geometry.|
For The Teacher:Why is it Important for Students to
Study Hyperbolic Geometry?
Conceptual Mechanics of Expression in Non-Euclidean Fields by Artist/Mathematician, Clifford Singer.
References & Further Reading.