Final exam. pdf, dvi, ps.
Projective geometry.
Desargues' theorem at
http://aleph0.clarku.edu/~djoyce/java/round/desargues.html
Notes 21. pdf, dvi, ps.
Projective geometry.
Notes 20. pdf, dvi, ps.
Absolute geometry, also known as neutral geometry.
Round triangles at
http://aleph0.clarku.edu/~djoyce/java/round/round1.html
Pappus' configuration for circles at
http://aleph0.clarku.edu/~djoyce/java/round/Pappus.html
The configuration of six circles and eight points at
http://aleph0.clarku.edu/~djoyce/java/round/sixeight.html
Notes 19. pdf, dvi, ps.
Elliptic geometry. Double and single elliptic plane.
Notes 18. pdf, dvi, ps.
Distance in the hyperbolic plane.
Notes 17. pdf, dvi, ps.
Geometric analysis of the transformations of the hyperbolic plane.
Notes 16. pdf, dvi, ps.
Hyperbolic parallels, circles, horocycles, hypercycles.
Pythagorean exposition, first draft.
pdf, dvi, ps.
Math Problem Solving Team
Notes 15. pdf, dvi, ps.
The Poincaré disk model for hyperbolic geometry.
Notes 14. pdf, dvi, ps.
Intro to hyperbolic geometry.
Hyperbolic tilings at
http://aleph0.clarku.edu/~djoyce/poincare/poincare.html
Sample first test. pdf, dvi,
ps.
Notes 13. pdf, dvi, ps.
Families of Steiner circles.
Notes 12. pdf, dvi, ps.
Further investigation into the Pythagorean theorem.
Notes 11. pdf, dvi, ps.
Circle inversion.
Notes 10. pdf, dvi, ps.
Cross ratios.
Notes 9. pdf, dvi, ps.
Introduction to Möbius geometry.
Notes 8. pdf, dvi, ps.
Further investigation into the Pythagorean theorem.
Notes 7. pdf, dvi, ps.
Transformation groups and their invariants.
Notes 6. pdf, dvi, ps.
Intro to Klein's Erlangen program.
Notes 5. pdf, dvi, ps.
Transformations, inversions, and stereographic projection.
Compass Geometry at
http://aleph0.clarku.edu/~djoyce/java/compass/
Notes 4. pdf, dvi, ps.
Introduction to plane transformations.
Wallpaper groups of transformations at
http://www.clarku.edu/~djoyce/wallpaper/
Notes 3. pdf, dvi, ps.
Construction assumptions for the proof of the Pythagorean theorem.
Complex numbers at
http://www.clarku.edu/~djoyce/complex/
Notes 2. pdf, dvi, ps.
Proofs of the Pythagorean theorem.
The Pythagorean theorem
Notes 1. pdf, dvi, ps.
Kinds of geometries.
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