Euclid's Elements can be found at:
http://aleph0.clarku.edu/~djoyce/java/elements/elements.html
If you want to see a sample page from
the oldest surviving copy of Euclid's Elements, look at:
http://www.claymath.org/euclid/eucms022.html
These sites give some great examples
of symmetry.
http://www.mcescher.com/Gallery/gallery-symmetry.htm
http://www.misterteacher.com/symmetry.html
This site allows you do create and recognize symmetric
patterns. You'll enjoy this one.
http://www.haelmedia.com/OnlineActivities_txh/mc_txh4_001.html
Problem 1 presents an optical illusion. If you like
this sort of problem you might enjoy checking out this
site.
http://www.billiardworld.com/puzzles.html
You might be interested in the art of
M.C. Escher.
http://www.mathacademy.com/pr/minitext/escher/
Three great Problems of Classical Geometry:
There are three great problems from classical geometry.
The first, Trisecting an Angle, is mentioned in the text.
Here are couple of great sites discussing this topic.
The following site gives a history of
this classical problem:
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Trisecting_an_angle.html
The second classical problem, Squaring
the Circle, involves constructing a square equal in area
to that of a given circle. Whether you can do this depends
on the tools that you allow yourself to use. Plato was
the first to attempt this construction allowing himself
only a straightedge and compass.
http://mathforum.org/isaac/problems/pi3.html
This site presents a proof that this
classical problem is impossible:
http://www.geom.umn.edu/docs/forum/square_circle/
The following site gives a history of
this classical problem:
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Squaring_the_circle.html
The third classical problem, doubling
the cube, involves constructing a solid with double the
volume of a given solid.
This site presents the problem along
with many great links:
http://mathworld.wolfram.com/CubeDuplication.html
The following site gives a history of
this classical problem:
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Doubling_the_cube.html
