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.
In this little treatise
on the Geometry of the Triangle are presented some of the more important
researches on the subject which have been undertaken during the last thirty
years. The author ventures to express not merely his hope, but his confident
expectation, that these novel and interesting theorems some British, but the
greater part derived from French and German sources will widen the outlook of
our mathematical instructors and lend new vigour to their teaching.