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单词 LinearOrderedGeometry
释义

linear ordered geometry


An incidence geometry A=(P,n,I) is alinear ordered geometry if there is a strict betweennessrelation B defined on the points P0 of A, such that

  • Col1

    (p,q,r)B only if p,q, and r are collinearMathworldPlanetmath (all incidentMathworldPlanetmathPlanetmath with a commonline P1);

  • Col2

    for any pairwise distinct collinear points p,q,r, at least one of(p,q,r), (q,r,p), or (r,p,q)B,

We denote the linear ordered geometry by (A,B).

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