-
called Desarguesian planes and are the same as the
planes that can be
given coordinates over a
division ring.
There are also many non-
Desarguesian planes...
-
examples of
Desarguesian projective planes. The
projective planes that can not be
constructed in this
manner are
called non-
Desarguesian planes, and the...
- In mathematics, a non-
Desarguesian plane is a
projective plane that does not
satisfy Desargues'
theorem (named
after Girard Desargues), or in
other words...
- Géometre (proposed by
Henri Brocard). He died in Lyon.
Desarguesian plane, non-
Desarguesian plane Desargues'
theorem Desargues graph Desargues configuration...
-
order 2. Due to this construction, the Fano
plane is
considered to be a
Desarguesian plane, even
though the
plane is too
small to
contain a non-degenerate...
- with
center P
which leaves Ω invariant. If Ω is an oval in a
finite Desarguesian (pappian)
projective plane of odd order, PG(2, q), then Ω is a conic...
-
examples do not
satisfy the
theorem of
Desargues and are
known as non-
Desarguesian planes. In
dimension one, any set with at
least three elements satisfies...
-
affine planes over
fields (and
division rings),
there are also many non-
Desarguesian planes, not
derived from
coordinates in a
division ring,
satisfying these...
-
among the most well-studied of the
known non-
Desarguesian planes, and the vast
majority of
known non-
Desarguesian planes are
either translation planes, or...
-
related to any sort of numbers, such as some
finite geometries and non-
Desarguesian geometry.[citation needed] The
process of
logical synthesis begins with...
