Differences in Geometry Essay
Geometry is the branch of mathematics that deals with the properties of space. Geometry is classified between two separate branches, Euclidean and NonEuclidean Geometry. Being based off different postulates, theorems, and proofs, Euclidean Geometry deals mostly with twodimensional figures, while Demonstrative, Analytic, Descriptive, Conic, Spherical, Hyperbolic, are NonEuclidean, dealing with figures containing more than twodimensions. The main difference between Euclidean, and NonEuclidean Geometry is the assumption of how many lines are parallel to another. In Euclidean Geometry it is stated that there is one unique parallel line to a point not on that line.
Euclidean Geometry has been around for …show more content…
When thinking of the NonEuclidean Spherical Geometry, we start of with a basic sphere. A sphere is a set of points in threedimensional space equidistant from a point called the center of the sphere. The distance from the center to the points on the sphere is called the radius. See Appendix 12 to visualize tangents, lines, and centers between the sphere, lines, and planes.
Unlike standard Euclidean Geometry, in Spherical Geometry, radians are used to replace degree measures. It is usual for most people to measure angles and such with degrees, as for scientists, engineers, and mathematicians, radians are used to substitute degree measures. The size of a radian is determined by the requirement that there are 2pi radians in a circle. Thus 2pi radians equals 360 degrees. This means that 1 radian =

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