| dbo:abstract |
In analytic geometry, the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line. It is the entire line if that line is embedded in the plane, and is the empty set if the line is parallel to the plane but outside it. Otherwise, the line cuts through the plane at a single point. Distinguishing these cases, and determining equations for the point and line in the latter cases, have use in computer graphics, motion planning, and collision detection. (en) В аналітичній геометрії, перетин прямої і площини може бути порожньою множиною, точкою, або прямою. Розрізнення цих випадків, і визначення рівнянь для точки і прямої має своє застосування комп'ютерній графіці, плануванні руху, івиявленні зіткнень. (uk) 在解析几何中, 一条直线与一个平面的交点可能是空集、一个点或一条直线。在计算机图形学、运动规划和碰撞检测中，经常需要分析相交类型，以及计算出点坐标或线的方程。 (zh) |
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wiki-commons:Special:FilePath/Plane-line_intersection.svg?width=300 |
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http://geomalgorithms.com/a05-_intersect-1.html |
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dbpedia-cs:Analytická_geometrie |
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| rdfs:comment |
In analytic geometry, the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line. It is the entire line if that line is embedded in the plane, and is the empty set if the line is parallel to the plane but outside it. Otherwise, the line cuts through the plane at a single point. Distinguishing these cases, and determining equations for the point and line in the latter cases, have use in computer graphics, motion planning, and collision detection. (en) В аналітичній геометрії, перетин прямої і площини може бути порожньою множиною, точкою, або прямою. Розрізнення цих випадків, і визначення рівнянь для точки і прямої має своє застосування комп'ютерній графіці, плануванні руху, івиявленні зіткнень. (uk) 在解析几何中, 一条直线与一个平面的交点可能是空集、一个点或一条直线。在计算机图形学、运动规划和碰撞检测中，经常需要分析相交类型，以及计算出点坐标或线的方程。 (zh) |
| rdfs:label |
Line–plane intersection (en) Перетин прямої і площини (uk) 线面交点 (zh) |
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freebase:Line–plane intersection wikidata:Line–plane intersection dbpedia-uk:Line–plane intersection dbpedia-zh:Line–plane intersection https://global.dbpedia.org/id/4YfC2 |
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