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Comparing and Contrasting Euclidean, Spherical, and Hyperbolic Geometries

Essay specific features

 

Issue:

Miscellaneous

 

Written by:

Cynthia S

 

Date added:

October 3, 2015

 

Level:

University

 

Grade:

A

 

No of pages / words:

6 / 1663

 

Was viewed:

8977 times

 

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Essay content:

In other words, a "straight line" is a line with zero curvature or zero deviation. Zero curvature can be determined by using the following symmetries. These symmetries include: reflection-in-the-line symmetry, reflection-perpendicular-to-the-line symmetry, half-turn symmetry, rigid-motion-along-itself symmetry, central symmetry or point symmetry, and similarity or self-similarity "quasi symmetry...
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I have included my homework assignment of my definition of a straight line for a Euclidean plane so that one can see why I have stated this to be my definition. My definition for a straight line on a sphere is very similar to that on a Euclidean Plane with a few minor adjustments. My definition of a straight line on a sphere is one that satisfies the following Symmetries...
displayed 300 characters

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