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Instructor: Gábor Hetyei

Important information:

• Course syllabus
• Homework
• Special arrangements to make up for lost lecture time, due to inclement weather

Handouts:

• Ceva's Theorem
• The sensed ratio
• The Fermat point
• Study Guide for the Midterm
• Inversion in the complex plane
• Properties of an inverson
• Fractional linear transformations
• Connecting the two Poincaré models
• Fractional linear transformations that are isometries of the Poincaré disk
• Fractional linear transformations that preserve the Poincaré upper half plane
• The hyperbolic Pythagorean theorem
• Sines and cosines in the Poincaré disk model of the hyperbolic plane
• The spherical Pythagorean theorem
• The hyperbolic laws of sines and cosines for general triangles
• Study Guide for the Final Exam

Our final exam will be on Tuesday May 6, 5:00-7:30 pm. You may download the Study Guide to prepare for it

Useful links:

• Professor Royster, the author of our text, has homepages for his past MATH 6118 courses online: the Spring 2002 page, the Spring 2004 page and the Spring 2008 page contain downloadable excerpts of our lecture notes (out of date compared to what you find in the bookstore!), exercises and links to further webpages with relevant information.
• Eric Weisstein, the creator of the on-line encyclopeda Mathworld, has a list of recommended books on Non-Euclidean geometry.
• A recommended book to complement our lecture notes is "Euclidean and Non-Euclidean Geometries: Development and History," by M. J. Greenberg.
• Inversive geometry on Wikipedia.
• Peaucellier linkage entry on Wikipedia.
• Inversion entry on Cut The Knot. Note: I am having difficulties getting the Java applet to run in Mozilla Firefox, seems to run in Internet Explorer (after some warnings). Don't forget to click on the "Explanation" link below the Java Applet.