-
examples of
Desarguesian projective planes. The
projective planes that can not be
constructed in this
manner are
called non-
Desarguesian planes, and the...
-
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...
- In mathematics, a non-
Desarguesian plane is a
projective plane that does not
satisfy Desargues'
theorem (named
after Girard Desargues), or in
other words...
- is a field,
every finite Moufang plane is
Desarguesian, but some
infinite Moufang planes are non-
Desarguesian planes. In particular, the
Cayley plane,...
-
affine planes over
fields (and
division rings),
there are also many non-
Desarguesian planes, not
derived from
coordinates in a
division ring,
satisfying these...
-
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...
- Géometre (proposed by
Henri Brocard). He died in Lyon.
Desarguesian plane, non-
Desarguesian plane Desargues'
theorem Desargues graph Desargues configuration...
- In mathematics, a Hall
plane is a non-
Desarguesian projective plane constructed by
Marshall Hall Jr. (1943).
There are
examples of
order p2n for every...
- 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...
- On the
other hand,
axiomatic studies revealed the
existence of non-
Desarguesian planes,
examples to show that the
axioms of
incidence can be modelled...
