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.
The
objective of this book is to lay down and illustrate the more elementary principles
of those Geometrical Methods which, in recent times, have been so successfully
employed to investigate the properties of figured space.