Non-Euclidean geometry - Wikipedia, the free encyclopedia
A non-Euclidean geometry is characterized by a non-vanishing Riemann curvature tensor--it is the study of shapes and constructions that do not map directly to any n-dimentional Euclidean system. Exa...
en.wikipedia.org/wiki/Non-Euclidean_geometry
Euclidean geometry - Wikipedia, the free encyclopedia
Euclidean geometry is a mathematical system attributed to the Greek mathematician Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry. It has been one of...
en.wikipedia.org/wiki/Euclidean_geometry
Saccheri then studied the hypothesis of the acute angle and derived many theorems of non-Euclidean geometry without realising what he was doing. However he eventually 'proved' that the hypothesis of the acute angle led to a contradiction by assuming that there is a 'point at infinity' which lies on a plane.
www-history.mcs.st-and.ac.uk/HistTopics/Non-Euclidean_g... www-history.mcs.st-and.ac.uk/HistTopics/Non-Euclidean_geometry.html
; 3: What is Non-Euclidean Geometry ... 1.2 Non-Euclidean Geometry: ... non-Euclidean geometry is any geometry that is different from Euclidean geometry. Each Non-Euclidean geometry is a consistent system of definitions, assumptions, and proofs that describe such objects as points, lines and planes.
www.cs.unm.edu/~joel/NonEuclid/noneuclidean.html www.cs.unm.edu/~joel/NonEuclid/noneuclidean.html
Name · Last modified · Size · Description. [DIR], Parent Directory, -. [IMG], 180.gif, 16-Feb-2007 08:58, 1.5K. [IMG], DiskAngle.gif, 16-Feb-2007 08:58 ...
www.cs.unm.edu/~joel/NonEuclid/ www.cs.unm.edu/~joel/NonEuclid/
The "flat" geometry of everyday intuition is called Euclidean geometry (or parabolic geometry), and the non-Euclidean geometries are called hyperbolic ...
mathworld.wolfram.com/Non-EuclideanGeometry.html mathworld.wolfram.com/Non-EuclideanGeometry.html
To understand the concept of non-Euclidian geometry, you must break free of your pre-conceived ideas of plane geometry. Not all triangles are drawn on flat surfaces. NonEuclidian geometries simply take into account a different space.
kevingong.com/Math/NonEuclidianGeometry.pdf kevingong.com/Math/NonEuclidianGeometry.pdf
I have recently been studying Euclid (the "father" of geometry), and was amazed to find out about the existence of a non-Euclidean geometry. Being as curious as I am, I would like to know about non-Euclidean geometry.
www.math.toronto.edu/mathnet/questionCorner/noneucgeom.... www.math.toronto.edu/mathnet/questionCorner/noneucgeom.html
This ranges from barely being able to knock out a sentence to a foggy sense of reason to a grasp of formal logic to an awareness of non-Euclidian geometry.
www.positiveatheism.org/mail/eml8602.htm
NON - EUCLIDEAN GEOMETRY RESOURCES ... Non-Euclidean Geometry links ... Further Non-Euclidean Geometry...
www.scit.wlv.ac.uk/~cm1993/maths/mm2217/neg.htm