Site Navigation
Categories:
Elementary geometry
Axiomatics of Euclidean geometry
Non-Euclidean geometry
Mathematics articles needing expert attention
Articles needing expert attention
Pages needing expert attention
Summary Of: Parallel postulate
A geometry where the parallel postulate cannot hold is known as a... s parallel postulate is often stated in a similar form known as...
Encyclodia Page On: Parallel postulate
These Are Links To Other Documents
|
WikiProject Mathematics
|
Mathematics Portal
|
WikiProject
|
portal
|
|
|
geometry
|
Euclid
|
Euclid's
Elements
|
axiom
|
Euclidean geometry
|
line segment
|
lines
|
right angles
|
non-euclidean geometry
|
absolute geometry
|
neutral geometry
|
|
|
converse
|
elliptic geometry
|
angles
|
triangle
|
right angles
|
exterior angle
|
interior angles
|
mathematician
|
John Playfair
|
parallel
|
self-evident
|
unconsciously
|
angles
|
triangle
|
similar
|
congruent
|
circumscribed
|
quadrilateral
|
right angles
|
distance
|
right-angled triangle
|
Pythagoras' Theorem
|
area
|
Omar Khayyám
|
Girolamo Saccheri
|
logically consistent
|
Nikolai Ivanovich Lobachevsky
|
János Bolyai
|
Carl Friedrich Gauss
|
Lobachevsky
|
Riemann
|
Poincaré
|
hyperbolic geometry
|
spherical geometry
|
independence
|
Eugenio Beltrami
|
1868
|
Schopenhauer
|
Schopenhauer's criticism of the proofs of the Parallel Postulate
|
history of non-Euclidean geometry
|
doi
|
Lewis Carroll
|
ISBN 0-486-22968-8
|
Categories
|
Elementary geometry
|
Axiomatics of Euclidean geometry
|
Non-Euclidean geometry
|
Mathematics articles needing expert attention
|
Articles needing expert attention
|
Pages needing expert attention
|
This article is licensed under the
GNU Free Documentation License
. It uses material from the
Wikipedia article "Parallel postulate"
.