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[DOC File]Non-Euclidean Geometries - Cornell University
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another non-Euclidean geometry. Axiomatic Structure: undefined terms: point, line, plane. axioms: A1. Given any two distinct points there is exactly one line that contains them. A2. The Distance Postulate: To every pair of distinct points there corresponds a unique positive number. This number is called the distance between the two points. A3.
non euclidean geometry for dummies

[DOC File]According to the NCTM (2000) “Instructional programs from ...
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Euclidean geometry, Hyperbolic geometry and Spherical Geometry – the big geometries we will study this semester are all categorical. The Three Axiom Geometry is non-categorical. We’ve explored a model with an infinite number of points; now let’s …
who created non euclidean geometry

[DOC File]UH
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Non-Euclidean Geometry is common in the curriculum geared toward Mathematics majors, Mathematics Education majors, and often Engineering students. I would recommend that all college students take a course in Non-Euclidean Geometry. I believe this would help them understand the world that we live in, as it is not Euclidean, but rather spherical ...
euclidean and non euclidean geometry

[DOC File]Non-Euclidean Geometry - Advanced Pre-Calculus
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1. What non-Euclidean geometry appeared first? Within the Building Structures Strand hyperbolic geometry was the first non-Euclidean geometry. However, spherical geometry has an ancient history that goes back more than 2000 years within the Navigation/Stargazing Strand.
euclidean vs non euclidean geometry

What Are Euclidean and Non-Euclidean Geometry?
This is certainly non-euclidean! An Incidence Geometry, continued. A Model with an infinite number of points and lines: Points will be {(x, y) ( x2 + y2 < 1}, the interior of the Unit Circle, and lines will be the set of all lines that intersect the interior of this circle.
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[DOC File]Non-Euclidean Geometries
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The branch of non-Euclidean geometry called spherical or Riemannian assumes that there are no lines parallel to a given line through a point not on that line.
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[DOC File]Taxicab Geometry - UH
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Why is this a Non-Euclidean Geometry? The axioms are totally different from Euclidean Geometry. Note that this geometry has several distinctly different models – and Euclidean Geometry has essentially only one model. (This is a new fact for you!) Incidence Geometry Exercise: Find at least one way that this geometry is like Euclidean Geometry.
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What is non euclidean geometry