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- Course Description
(also in pdf)
(updated )
Textbook,
grading policy,
grader, email addresses, phone numbers, and other
administrivia.
- Estimated schedule and
homework assignments.
(updated )
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- Web links and stuff. (
 indicates the page
needs java to function properly.)
 Some sources for the
textbook
other than the bookstore.
A java-enhanced version of
Euclid's
Elements. Or, if you are impatient, you might prefer a
quick
trip through the Elements.
A brief
history of non-Euclidean geometry.
Many
proofs of the Pythagorean Theorem (43 last time I looked) from
Cut-The-Knot, which
has a lot of
nice stuff on geometry.
An interactive page with the four
classical "centers" of a triangle (as well as the
excenter and the
Euler line).
A much longer list of triangle centers can be found on
Clark Kimberling's
Triangle
Centers page. He also has a number of
nice animations.
The nine-point circle.
The Theorems of Menelaus and Ceva.
Three Euclidean construction exercises:
bisecting a segment,
constructing a tangent,
constructing a regular octagon.
(Sadly, some people's computers hate these exercises.)
Circumscribing a
hyperbolic triangle (sometimes you can, sometimes you can't).
A pair of hyperparallel lines,
and a pair of parallels that aren't.
The defect of a hyperbolic triangle.
The
NonEuclid
site has a fair amount of meterial about hyperbolic geometry, including
a java applet to do constructions in the
hyperbolic plane.
How to make some
approximate hyperbolic planes,
(out of paper, or crocheting one), from David Henderson's text
Experiencing Geometry
in Euclidean, Spherical, and Hyperbolic Spaces.
Hyperbolic construction exercises:
equilateral triangle,
inscribed reqular quadrilateral,
and a
circmscribed reqular quadrilateral.
The
Geometry of the Sphere,
by John Polking.
The
knot
theory notes that we will be using. Also, an
applet
to help compute the Lake and Island polynomial in certain examples.
A number of links to
various pages on knot theory.
Computing the
Jones
polynomial of the trefoil and other knots.
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