This is an excellent web tour through one of the greatest
works of all time.
Geometry, by Paul Bourke at Swinburne University of Technology, Australia
Mostly this is a well kept gallery, with a special page on the
Platonic solids. It also gives some fundamental algorithms, such as
finding distances and intersections. You can go up one level to see
other pages, notably his Projections, which includes conformal maps
in the complex plane.
He has short notes, papers and books. In particular, he has
pdf, ps and html files for Geometry and the Imagination
(co-authored with John Conway, Jane Gilman, and Bill Thurston).
This is a set of notes used in a 2-week course. Subjects include
How to knit a Möbius Band, Descartes' Formula, Hyperbolic Geometry,
and many more. He also has put on the web the classic book,
Introduction to Finite Mathematics, by Kemeny, Snell and
Thompson, as well as the Kemeny Lectures.
This contains graphics, software, video productions and course materials.
Their
Gallery of Interactive Geometry includes Projective Conics,
which includes graphics and proofs of the theorems by Pascal and
Brianchon on conics and hexagons.
This is a complete set of course notes that comprise a book.
After some history and an introduction to spherical geometry, he
goes through details of (bi-valued) logic and proof techniques. He
then proceeds with continuity principles, the work of Saccheri and
Gauss, and introduces "Neutral Geometry" (stems from
parallel postulate).
He concludes with several chapters on hyperbolic geometry.
In addtition to these notes, his
main course page contains other materials, including homework
exercises.
Back to Web4Teaching home page.