History Topics Index; ... 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...
www-history.mcs.st-and.ac.uk/HistTopics/Non-Euclidean_g... www-history.mcs.st-and.ac.uk/HistTopics/Non-Euclidean_geometry.html
Non-Euclidean geometry - Wikipedia, the free encyclopedia
A non-Euclidean geometry is characterized by a non-vanishing Riemann curvature tensor. Examples of non-Euclidean geometries include the hyperbolic and elliptic geometry, which are contrasted with a ...
en.wikipedia.org/wiki/Non-Euclidean_geometry
A consistent logical system for which one of these postulates is modified in an essential way is non-Euclidean geometry. ... Hyperbolic geometry is based on changing Euclid's parallel postulate, which is also referred to as Euclid's fifth postulate, the last of the five postulates of Euclidian Geometry.
science.jrank.org/pages/4705/Non-Euclidean-Geometry.htm... science.jrank.org/pages/4705/Non-Euclidean-Geometry.html
Other Free Encyclopedias :: Science Encyclopedia :: Science & Philosophy - Materialism to North America :: Non-Euclidean Geometry - The History Of Non-euclidean Geometry, The Founders Of Non-euclidean Geometry, Elliptic Non-euclidean Geometry...
science.jrank.org/pages/4702/Non-Euclidean-Geometry-his... science.jrank.org/pages/4702/Non-Euclidean-Geometry-history-non-Euclidean-geometry.html
B A Rosenfeld, A history of non-euclidean geometry : evolution of the concept of a geometric space (New York, 1987). ... I Toth, From the pre-history of non-euclidean geometry (Hungarian), Mat. Lapok 16 (1965), 300-315.
www.gap-system.org/~history/HistTopics/References/Non-E... www.gap-system.org/~history/HistTopics/References/Non-Euclidean_geometry.html
History Of Non Euclidean Geometry - Presentation Transcript ... Consistent by Beltrami  Beltrami wrote Essay on the interpretation of non-Euclidean geometry  In it, he created a model of 2D non-Euclidean geometry within Consistent by Beltrami 3D Euclidean geometry.  This provided a model for showing the consistency...
www.slideshare.net/dr.f/history-of-non-euclidean-geomet... www.slideshare.net/dr.f/history-of-non-euclidean-geometry
IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that the claim, for Gauss that he was the first to assert the possibility of a non-Euclidean geometry is threatened by F.
www.nature.com/nature/journal/v84/n2128/abs/084172c0.ht... www.nature.com/nature/journal/v84/n2128/abs/084172c0.html
Before attempting the assessment, it may be necessary to read about Non-Euclidean Geometry in more detail. It is suggested that you look at the Non-Euclidean Geometry links and read the section on Non-Euclidean geometry from "The History of Mathematics - A Reader".
www.scit.wlv.ac.uk/~cm1993/maths/mm2217/neg.htm
Seminar on the History of Hyperbolic Geometry ... 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.
www.math.columbia.edu/~pinkham/teaching/seminars/NonEuc... www.math.columbia.edu/~pinkham/teaching/seminars/NonEuclidean.html