- In mathematics,
hyperbolic geometry (also
called Lobachevskian geometry or Bolyai–
Lobachevskian geometry) is a non-Euclidean geometry. The
parallel postulate...
-
known primarily for his work on
hyperbolic geometry,
otherwise known as
Lobachevskian geometry, and also for his
fundamental study on
Dirichlet integrals...
-
hyperbolic geometry. Consequently,
hyperbolic geometry is
called Lobachevskian or Bolyai-
Lobachevskian geometry, as both mathematicians,
independent of each other...
-
Savant stated that
because "the
chain of
proof is
based in
hyperbolic (
Lobachevskian) geometry", and
because squaring the
circle is seen as a "famous impossibility"...
-
theory Homotopy theory Hyperbolic geometry also
known as
Lobachevskian geometry or Bolyai-
Lobachevskian geometry. It is a non-Euclidean
geometry looking at...
-
Smogorzhevsky develops several theorems of
inversive geometry before beginning Lobachevskian geometry. In a real n-dimensional
Euclidean space, an
inversion in the...
-
Wikisource Sommerfeld, Phys. Z 1909
Vladimir Varicak (1910)
Application of
Lobachevskian Geometry in the
Theory of
Relativity Physikalische Zeitschrift via Wikisource...
- 1942. From 1903 to 1908 he
wrote on
hyperbolic geometry (or Bolyai–
Lobachevskian geometry). In 1910,
following a 1909
publication of Sommerfeld, he applied...
- York, NY: Springer. p. 433. ISBN 0-387-90694-0. Smogorzhevski, A.S.
Lobachevskian geometry.
Moscow 1982: Mir Publishers. p. 63.{{cite book}}: CS1 maint:...
-
isometric to: the
sphere if K > 0; the
Euclidean plane if K = 0; the
Lobachevskian plane if K < 0.
Liouville field theory, a two-dimensional conformal...
