MATH 6118 090
Dr. David C. Royster
Thought for the
If toast always lands butter-side down and cats always land on their feet,
what happens when you strap a piece of toast on the back of a cat?
If toast always lands butter-side down and cats always land on their feet, what happens when you strap a piece of toast on the back of a cat?
Chapter 2 The Rules of the Game
Chapter 3 Euclidean Geometry - Axiom Systems and Review of Results
Chapter 4 Concurrency and
Concurrency and Triangle Centers
Chapter 5 Collinearity and
Special Triangle Points
Collinearity and Special Triangle Points
Chapter 6 Neutral
Chapter 7 Introduction to
Introduction to Hyperbolic Geometry
Chapter 8 Area
Chapter 9 Poincarι Disk Model of the Hyperbolic Plane
Chapter 10 Poincarι Half-Plane Model of the Hyperbolic Plane
Chapter 11 Horocycles and Hypercycles
Chapter 12 Hyperbolic Trigonometry
Chapter 13 Analytic Hyperbolic Geometry
These are the PowerPoint presentations used in class, saved in two formats. Both are PDF files (to insure font fidelity). Slides are the slides themselves in color and Notes are the slides 3 to a page in grayscale.
|Lecture 2 Triangle Centers and Ceva's Theorem||Slides||Handouts|
|Lecture 3 More triangle centers and Collinearity||Slides||Handouts|
|Lecture 4 Neutral Geometry||Slides||Handouts|
Read the web page about the van Heile levels of geometric understanding and read either the Fuys, et al., or the Malloy and Friel article.
Read the articles on the web page about definitions. Be prepared to discuss the concept of definition.
Complete Exercise Set #2.
Assignment for February 11, 2008 Due February 25, 2008.
Assignment for February 25, 2008 Due March 10, 2008.
Assignment for March 10, 2008 Due March 17, 2008.
Assignment for April 14, 2008 Due April 21, 2008.
Assignment for April 21, 2008 Due April 28, 2008.
· Here is a list of quotations about mathematics and mathematicians
A History of
Geometry from David Joyce at
· Hyperbolic Geometry using Cabri
· Hyperbolic Geometry using CabriJava
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Last updated 05 Oct 2011 byDavid Royster firstname.lastname@example.org