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In geometry, the point–line–plane postulate is a collection of assumptions (axioms) that can be used in a set of postulates for Euclidean geometry in two (plane geometry), three (solid geometry) or more dimensions. ==Assumptions== The following are the assumptions of the point-line-plane postulate: *Unique line assumption. There is exactly one line passing through two distinct points. *Number line assumption. Every line is a set of points which can be put into a one-to-one correspondence with the real numbers. Any point can correspond with 0 (zero) and any other point can correspond with 1 (one). *Dimension assumption. Given a line in a plane, there exists at least one point in the plane that is not on the line. Given a plane in space, there exists at least one point in space that is not in the plane. *Flat plane assumption. If two points lie in a plane, the line containing them lies in the plane. *Unique plane assumption. Through three non-collinear points, there is exactly one plane. *Intersecting planes assumption. If two different planes have a point in common, then their intersection is a line. The first three assumptions of the postulate, as given above, are used in the axiomatic formulation of the Euclidean plane in the secondary school geometry curriculum of the University of Chicago School Mathematics Project (UCSMP).〔Coxford, A. (1992) ''Geometry'', Glenview, IL:Pearson/Scott Foresman, p. 801 (0673372804 )〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Point–line–plane postulate」の詳細全文を読む スポンサード リンク
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