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词汇 Finite projective plane
分类 英语词汇 英语翻译词典
释义

Finite projective plane

英语百科

Projective plane

These parallel lines appear to intersect in the vanishing point
The Moulton plane. Lines sloping down and to the right are bent where they cross the y-axis.
The Fano plane. Points are shown as dots; lines are shown as lines or circles.
(Non-empty) Degenerate Projective Planes

In mathematics, a projective plane is a geometric structure that extends the concept of a plane. In the ordinary Euclidean plane, two lines typically intersect in a single point, but there are some pairs of lines (namely, parallel lines) that do not intersect. A projective plane can be thought of as an ordinary plane equipped with additional "points at infinity" where parallel lines intersect. Thus any two lines in a projective plane intersect in one and only one point.

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