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Comparing And Contrasting Euclidean Spherical And

Comparing and Contrasting Euclidean, Spherical, and Hyperbolic Geometries

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Title: Comparing and Contrasting Euclidean, Spherical, and Hyperbolic Geometries

Essay Details:

Subject: Miscellaneous

Author:

Date: December 28, 2015

Level: University

Grade: A

Length: 6 / 1663

Essay text:

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." So, if a line on a Euclidean plane satisfies all of the above conditions we can say it is a straight line. 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...

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