Authors:
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

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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 NonEuclidean 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.  
XY Coordinate System:  A description of how an xy coordinate system can be set up in Hyperbolic Geometry.  
Disk and Upper HalfPlane 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 NonEuclidean Fields by Artist/Mathematician, Clifford Singer.  
Palm OS Application for Exploring NonEuclidean Geometry. The package includes two files: MathLib.prc and HypGeom.prc. MathLib is a library that contains mathematical functions missing on the standard palm libraries. HypGeom is the application. This package was written by Felipe Grajales, Faculty, Universidad de los Andes, Colombia.  
References & Further Reading.  
Change History. 