Taxicab Geometry An Adventure in Non-Euclidean Geometry pdf


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Taxicab Geometry An Adventure in Non-Euclidean Geometry pdf

Taxicab Geometry An Adventure in Non-Euclidean Geometry pdf : Page 96

By Eugene F. Krause

This entertaining, stimulating textbook offers anyone familiar with Euclidean geometry — undergraduate math students, advanced high school students, and puzzle fans of any age — an opportunity to explore taxicab geometry, a simple, non-Euclidean system that helps put Euclidean geometry in sharper perspective.

In taxicab geometry, the shortest distance between two points is not a straight line. Distance is not measured as the crow flies, but as a taxicab travels the « grid » of the city street, from block to block, vertically and horizontally, until the destination is reached. Because of this non-Euclidean method of measuring distance, some familiar geometric figures are transmitted: for example, circles become squares.

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