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Geometry: The Parallel Postulate
Finally, the last and most important postulate concerns parallel lines. Again, faithful . cian David Hilbert (1862–1943), on his way to becoming the dominating .
http://www.math.nmsu.edu/~history/book/geometry.pdf
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Geometry
The most controversial assumption has been the parallel postulate: there is one and only . for Euclidean geometry was first proposed in 1899 by David Hilbert.
http://www.math.uiuc.edu/~palmore/math351-n1/geometry.htm Intro Gag
David Hume (1711-1776), in writings mostly published after his death in 1776, . Under Hilbert's program, if the parallel postulate is true (and it probably is), .
http://www.panspermia.org/egyptians2008.doc
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How to Use History to Clarify Common COnfusions in Geometry
Does Euclid's parallel postulate distinguish the non-Euclidean geometries from . Many other authors (including David Hilbert in his axiomation of Euclidean .
http://www.math.cornell.edu/~dtaimina/MAA/MAA.htm
Sam Otten
EQUIVALENTS TO THE PARALLEL POSTULATE . Therefore, mathematicians ( David Hilbert among them) presented additional postulates or axioms that are .
http://www.msu.edu/~ottensam/NonEuclid.doc
Philosophy of Mathematics Class Notes - badros.com
David Hilbert wrote Hilbert's Foundation of Geometry-- a new axiomatization of geometry with . How did Hilbert realize the necessity of the parallel postulate?
http://www.badros.com/greg/doc/philmath.htm
We must know, we will know | plus.maths.org
Dec 1, 2006 . David Hilbert, 1862 - 1943. Mathematicians . One of his axioms, called the parallel postulate attracted particular attention. It amounts to the .
http://plus.maths.org/content/we-must-know-we-will-know
Hyperbolic Geometry in the High School Geometry Classroom
Hilbert's parallel postulate by its negation, which we shall call the 'hyperbolic . 70) David Hilbert worked with Euclid's axioms and added the betweenness .
http://www.math.iastate.edu/thesisarchive/MSM/Donald_C_MSM_F05.pdf
line - PlanetMath
Incidence geometry is essentially geometry based on the first postulate in . end of the 19th century, David Hilbert extended and axiomatized this postulate by . both lying in a flat of dimension $i+1$ , are not parallel, then their intersection is .
http://planetmath.org/encyclopedia/LiesOn.html
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