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 |
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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. |
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What is Non-Euclidean Geometry: - Euclidean Geometry, Spherical Geometry, Hyperbolic Geometry, and others. |
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The Shape of Space: - Curved Space, Flatland, Ourland, and Mercury's Orbit. |
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The Pseudosphere: - A description of the space of which NonEuclid is a model. |
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Parallel Lines: - In Hyperbolic Geometry, a pair of intersecting lines can both be parallel to a third line. |
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Axioms and Theorems: - Euclid's Postulates, Hyperbolic Parallel Postulate, SAS Postulate, Hyperbolic Geometry Proofs. |
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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. |
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X-Y Coordinate System: - A description of how an x-y coordinate system can be set up in Hyperbolic Geometry. |
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Disk and Upper Half-Plane Models: - An informal development of these two models of Hyperbolic Geometry. |
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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. |
| Palm OS Application for Exploring Non-Euclidean 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. |
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| References & Further Reading. |
| Change History. |
