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Taxicab Geometry

Glossary

Vocabulary


Circle: the set of all points which are at fixed distance r (the radius) from the center of the circle

Circumference: the length around the circle

Diameter: the distance from one point on a circle through the center to another point on the circle

Distance: a numerical or occasionally qualitative measurement of how far apart objects or points are

Euclidean Geometry: the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid

Metric Space: a mathematical structure which consists of a set of points and a rule (or function) for measuring distance between any two points in the set

Non-Eculidean Geometry: any geometry that is not the same as Euclidean geometry

π (Pi): the ratio of the circumference of a circle to its diameter.

Taxicab Circle: the concept of a circle and its definition within the Taxicab metric system

Taxicab Distance (metric): the distance between two points measured as the sum of the change in horizontal and vertical directions between the two points

Equations


Euclid Distance
Taxicab Distance
Euclid Circle
Taxicab Circle
Definition of π (Pi)