TAXICAB GEOMETRY
by
Susan Sexton
Foundations of
Geometry I Project
University of
Georgia
Fall 2006
Instructor: Clint
McCrory
Circles in
Taxicab Geometry
The notion of
distance is different in Euclidean and taxicab geometry.
This affects what the circle looks like
in each geometry.
In both geometries
the circle is defined the same:
the set of all
points that are equidistant from a single point.
The set of all
points that are the same Euclidean distance from a single point look like:
Here the circle
is defined as the set of all
points that are
a distance of 3 from A.
The set of all
points that are the same taxicab distance from a single point look like:
This circle is
also defined as the set of all
points that are
a distance of 3 from A.
