- In mathematics,
hyperbolic geometry (also
called Lobachevskian geometry or Bolyai–
Lobachevskian geometry) is a non-Euclidean geometry. The
parallel postulate...
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known primarily for his work on
hyperbolic geometry,
otherwise known as
Lobachevskian geometry, and also for his
fundamental study on
Dirichlet integrals...
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hyperbolic geometry. Consequently,
hyperbolic geometry is
called Lobachevskian or Bolyai-
Lobachevskian geometry, as both mathematicians,
independent of each other...
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Wikisource Sommerfeld, Phys. Z 1909
Vladimir Varicak (1910)
Application of
Lobachevskian Geometry in the
Theory of
Relativity Physikalische Zeitschrift via Wikisource...
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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"...
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Smogorzhevsky develops several theorems of
inversive geometry before beginning Lobachevskian geometry. In a real n-dimensional
Euclidean space, an
inversion in the...
- 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:...
- H. (1961). "Review:
Foundations of geometry,
Euclidean and Bolyai–
Lobachevskian geometry,
projective geometry. By K.
Borsuk and
Wanda Szmielew. Revised...
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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...
- 1942. From 1903 to 1908 he
wrote on
hyperbolic geometry (or Bolyai–
Lobachevskian geometry). In 1910,
following a 1909
publication of Sommerfeld, he applied...
