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elliptic geometry的用法。与
elliptic geometry相关的书籍以及同一来源的简短摘要提供其在 英语文献中的使用情境。
It surveys real projective geometry, and elliptic geometry. After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases. This is essential reading for anybody with an interest in geometry.
Riemannian, or elliptic, geometry. Departing from the sphere. Riemann
suggested to consider a slightly different geometric object in which the straight
lines have the basic property that through any two points, exactly one line can be
drawn.
Viktor Vasilʹevich Prasolov Vladimir Mikhaĭlovich Tikhomirov
3
A Course in Modern Geometries
Lists of some of the major properties for this geometry and for single elliptic
geometry follow. Hopefully, the items in the first list agree with your observations.
As a real test of your visualization skills, try explaining the differences between
the ...
Judith N. Cederberg,
2001
4
Introductory Non-Euclidean
Geometry
This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes.
Henry Parker Manning,
2013
5
Basic Concepts of
Geometry
These theories are called, respectively, single elliptic geometry and double
elliptic geometry. (The terms "single" and "double" indicate the intersection
properties of two lines in the geometries; and the term "elliptic" is used rather
subtly in the ...
Walter Prenowitz, Meyer Jordan,
1989
6
Perspectives on Projective
Geometry: A Guided Tour Through ...
This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms.
Jürgen Richter-Gebert,
2011
7
All the Mathematics You Missed: But Need to Know for ...
Riemann (1826-1866) did precisely this, showing that there were two ways of
altering the other axioms and thus that there were two new geometries, today
called single elliptic geometry and double elliptic geometry (named by Klein). For
both ...
8
Foundations of Measurement: Geometrical, threshold, and ...
We are of course not forced to take this model of elliptic geometry. Once the
axioms are given, other models can be found. Another suggested model for the
elliptic plane, which generalizes to higher dimensions, is to take in Euclidean ...
9
Fundamental Concepts of
Geometry
This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Preface. Index. Bibliography.
10
Encyclopaedia of Mathematics
The major non-Euclidean geometries are hyperbolic geometry or Lobachevskii
geometry and elliptic geometry or Riemann geometry — it is usually these that
are meant by 'non- Euclidean geometries'. Hyperbolic geometry was the first ...
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Struppa: What's self-evident today may not be so tomorrow
So, for example, in elliptic geometry (a kind of non-Euclidean geometry that turns out to be very helpful in relativity theory), we can satisfy most ... «OCRegister, 三月 15»
This Photo Disproves The One Thing That Everybody Knows About …
However, in elliptic geometry there are no parallel lines because all lines eventually intersect. On a sphere, the natural analogue of a line on a ... «Business Insider Australia, 六月 14»
REDNECK PERSPECTIVE: SPET tax for bagel walkers
... to aforementioned straight line Euclidean geometry rather than those who offer a celebration of modern hyperbolic and elliptic geometry? «Planet Jackson Hole, 三月 14»
Hyperbolic Quotes about Hyperbolic Geometry
... case is called elliptic geometry, and the latter case is called hyperbolic geometry. Non-Euclidean is a general term for either of these cases. «Scientific American, 二月 14»
Lessons From Non-Euclidian Geometries for Interfaith Dialogue
Elliptic geometry is what you would get if you worked geometry on a sphere. Change that sphere into a saddle and you are now working on ... «Huffington Post, 六月 13»
In Praise of the Bean: Anish Kapoor's "Cloud Gate," Millennium Park …
Coming nearer, one sees that it has panoptic properties: its elliptic geometry replicates on its surface the entire visible city. But the city is not ... «Huffington Post, 二月 13»