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Non-Euclidean
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NonEuclid is a software simulation offering straightedge and compass constructions in hyperbolic geometry.
http://math.rice.edu/~joel/NonEuclid/
From theTreasureTroves collection.
http://www.treasure-troves.com/books/Non-EuclideanGeometry.html
A philosophical essay.
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Though there never were a circle or triangle in nature, the truths demonstrated by Euclid would for ever retain their certainty and evidence. David Hume, An Enquiry Concerning Human Understanding, Section IV, Part I, p. 20 [L.A. Shelby-Bigge, editor, Oxford...A historical account with links to biographies of some of the people involved.
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Non-Euclidean geometry Geometry and topology index HistoryTopicsIndex Version for printing In about 300 BC Euclid wrote The Elements, a book which was to become one of the most famous books ever written. Euclid stated five postulates on which he based all his...Seminar notes by Greg Schreiber.
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Non-Euclidean Geometry Seminar In this course we traced the development of hyperbolic (non-Euclidean) geometry from ancient Greece up to the turn of the century. This was accomplished by focusing chronologically on those mathematicians who made the most significant contributions to the subject. We...Conference talk by Scott Steketee with downloadable sketches.
http://www.keypress.com/sketchpad/talks/Euc_Wien98/
Review of a new version of LOGO developed at Cardiff.
http://www.bham.ac.uk/ctimath/reviews/logo.html
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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Arc Distance Formula by James Q. Jacobs Finding the shortest distance between two points on the earth given latitude and longitude. Download ARC_CALC_3. This small program will do the calculations below in an Excel 4.0 spreadsheet. You only need to input the coordinates. The program supports input...A resource for student research projects and for teachers interested in using the history of mathematics in their courses.
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Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The...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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Smarandache Notions Journal An axiom is said smarandachely denied if in the same space the axiom behaves differently (i.e validated and invalided; or only invalidated but in at least two distinct ways A Smarandache Geometry is a geometry which has at least one...An exploration of the geometry of quaternion algebra, including a commutative variant which exhibits the properties of Minkowskian geometry.
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Minkowski, Quaternions, Complex Numbers Welcome to a new way of looking at the geometry of space-time. Yes, non-Euclidean 4 dimensional geometry can hurt your brain but I've tried to pitch this at 1st-year undergrad level and explain it all step-by-step (for my benefit as...A bibliographic reference list of books and articles on non-Euclidean geometries, part of the MacTutor History of Mathematics archive.
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Non-Euclidean geometry references Euclidean geometry from early times to Beltrami, Indian J. Hist. Sci. 24 (4 1989 249-256. N Daniels,Thomas Reid's discovery of a non-Euclidean geometry, Philos. Sci. 39 (1972 219-234. F J Duarte, On the non-Euclidean geometries Historical and bibliographical notes (Spanish...NonEuclid is a software simulation offering straightedge and compass constructions in hyperbolic geometry.
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NonEuclid Hyperbolic Geometry Article Applet Constructions in both the Poincar Disk and the Upper Half-Plane Models of Hyperbolic Geometry for use in High School and Undergraduate Education. Hyperbolic Geometry is a geometry of Einstein's General Theory of Relativity and Curved Hyperspace. Copyright: Joel Castellanos, 1994-2005...