Foundations of Geometry I Project
University of Georgia
Instructor: Clint McCrory
A little bit of history . . .
Most who have studied geometry at some point in school have studied Euclidean geometry.
This type of geometry dates back over 2000 years ago.
It has influenced much of how geometry is taught today.
to learn more about Euclid and his works visit:
Taxicab geometry is a non-Euclidean geometry.
It is similar to Euclidean geometry in many aspects.
However, there are fundamental differences between the two geometries.
Some more history . . .
Hermann Minkowski, a German mathematician and a teacher of Albert Einstein,
is credited as the first to propose taxicab geometry.
He did so by proposing that the notion of distance in Euclidean geometry
is different than the notion of distance in taxicab geometry.
In fact, he proposed a family of metrics where the notion of distance
is different depending on the space in question.
to learn more about Minkowski and his works visit:
In 1952 Austrian mathematician Karl Menger established an exhibit at the Museum of Science and Industry of Chicago.
At this exhibit he distributed a booklet entitled You Will Like Geometry.
It is in this booklet that the term ÒtaxicabÓ is first used.
to learn more about Menger and his works visit: