This note explains the following topics: Euclidean geometry,
Geometry in Greek astronomy, Constructions using a compass and straightedge,
Geometers sketchpad, Higher dimensional objects, Hyperbolic geometry, The
poincare models of hyperbolic geometry, Tilings and lattices, Foundations,
Spherical geometry, Projective geometry, The pseudosphere in lorentz space,
Finite geometries, Nonconstructibility, Modern research in geometry , A
selective time line of mathematics.
This note explains the following topics: Euclidean geometry,
Geometry in Greek astronomy, Constructions using a compass and straightedge,
Geometers sketchpad, Higher dimensional objects, Hyperbolic geometry, The
poincare models of hyperbolic geometry, Tilings and lattices, Foundations,
Spherical geometry, Projective geometry, The pseudosphere in lorentz space,
Finite geometries, Nonconstructibility, Modern research in geometry , A
selective time line of mathematics.
This note covers the following
topics: The classical theorem of Ceva, Ceva, Menelaus and Selftransversality,
The general transversality theorem, The theorems of Hoehn and Pratt-Kasapi,
Circular products of ratios involving circles, Circle transversality theorems, A
basic lemma and some applications, Affinely Regular Polygons, Linear
transformations; smoothing vectors, Affine-Regular Components, The general
Napoleon's Theorem, The iteration of smoothing operations.
This course will show how geometry and geometric ideas are a part of
everyone’s life and experiences whether in the classroom, home, or workplace. In
the first chapter of the course notes will cover a variety of geometric topics.
The four subsequent chapters cover the topics of Euclidean Geometry,
Non-Euclidean Geometry, Transformations, and Inversion. However, the goal is not
only to study some interesting topics and results, but to also give “proof” as
to why the results are valid.