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.
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.
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.