### Some articles on *desarguesian*:

Non-

... Known examples of non-

**Desarguesian**Plane - Examples... Known examples of non-

**Desarguesian**planes include The Moulton plane ... Every projective plane of order at most 8 is**Desarguesian**, but there are three non-**Desarguesian**examples of order 9, each with 91 points and 91 lines ...Moufang Plane

... Every

... Every

**Desarguesian**plane is a Moufang plane, and (as a consequence of the Artin–Zorn theorem) every finite Moufang plane is**Desarguesian**, but some infinite Moufang planes are non-**Desarguesian**planes ...Projective Plane - Vector Space Construction - Desargues' Theorem and

... These planes are called

**Desarguesian**Planes... These planes are called

**Desarguesian**planes, named after Gérard Desargues ... projective plane and the projective plane of order 3 given above are examples of**Desarguesian**projective planes ... The PG(2,K) notation is reserved for the**Desarguesian**planes ...Intersection Theorem - Famous Examples

... The projective plane is then called

... The projective plane is then called

**desarguesian**... A theorem of Amitsur and Bergman states that, in the context of**desarguesian**projective planes, for every intersection theorem there is a rational identity such that the plane P satisfies the ... Pappus's hexagon theorem holds in a**desarguesian**projective plane if and only if D is a field it corresponds to the identity ...Desargues' Theorem - Relation To Pappus' Theorem

... converse of this result is not true, that is, not all

... converse of this result is not true, that is, not all

**Desarguesian**planes are Pappian ... (a division ring that is not a field) would therefore be**Desarguesian**but not Pappian ... states that all finite division rings are fields, all finite**Desarguesian**planes are Pappian ...Main Site Subjects

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