Euclidean Non Geometry
Euclidean
The study of geometrical systems which differ from that of Eculid, specifically with respect to the 5th or Parallel Postulate; the dicussion of the validity or otherwise of these different geometries.
Top: Science: Math: Geometry: Non-Euclidean:
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- An exploration of the geometry of quaternion algebra, including a commutative variant which exhibits the properties of Minkowskian geometry.
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- Seminar notes by Greg Schreiber.
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- A bibliographic reference list of books and articles on non-Euclidean geometries, part of the MacTutor History of Mathematics archive.
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- A resource for student research projects and for teachers interested in using the history of mathematics in their courses.
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- A historical account with links to biographies of some of the people involved.
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- NonEuclid is a software simulation offering straightedge and compass constructions in hyperbolic geometry.
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- Finding the shortest distance between two points on the earth given latitude and longitude. Download ARC_CALC_3, Microsoft Excel version, A Spherical Triangle Calculator by James Q. Jacobs.
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- A philosophical essay.
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- Review of a new version of LOGO developed at Cardiff.
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- Having at least one smarandachely denied axiom: validated and invalidated; or invalidated in at least two distinct ways. Discussion groups and meetings.
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- From theTreasureTroves collection.
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- Classic text available from the MAA.
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- Conference talk by Scott Steketee with downloadable sketches.
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