### Some articles on *desarguesian planes, plane, planes, desarguesian*:

Projective Plane - Vector Space Construction - Desargues' Theorem and

... The theorem of Desargues is universally valid in a projective

**Desarguesian Planes**... The theorem of Desargues is universally valid in a projective

**plane**if and only if the**plane**can be constructed from a 3 dimensional vector space over a skewfield as above ... These**planes**are called**Desarguesian planes**, named after GĂ©rard Desargues ... The real (or complex) projective**plane**and the projective**plane**of order 3 given above are examples of**Desarguesian**projective**planes**...Projective Plane - Subplanes - Fano Subplanes

... A Fano subplane is a subplane isomorphic to PG(2,2), the unique projective

... A Fano subplane is a subplane isomorphic to PG(2,2), the unique projective

**plane**of order 2 ... If you consider a quadrangle (a set of 4 points no three collinear) in this**plane**, the points determine six of the lines of the**plane**... In finite**desarguesian planes**, PG(2,q), Fano subplanes exist if and only if q is even (that is, a power of 2) ...### Famous quotes containing the word planes:

“After the *planes* unloaded, we fell down

Buried together, unmarried men and women;”

—Robert Lowell (1917–1977)

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