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Intersection (Euclidean geometry)
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・ Intersection graph
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Intersection (Euclidean geometry) : ウィキペディア英語版
Intersection (Euclidean geometry)
In geometry, an intersection is a point, line, or curve common in two or more objects (such as lines, curves, planes, and surfaces). The most simple case in Euclidean geometry is the intersection points of two distinct lines, that is either one point or does not exist if lines are parallel.
Determination of the intersection of flats is a simple task of linear algebra, namely a system of linear equations. In general the determination of an intersection leads to non-linear equations, which can be solved numerically, for example using a Newton iteration. Intersection problems between a line and a conic section (circle, ellipse, parabola, ...) or a quadric (sphere, cylinder, hyperboloid, ...) lead to quadratic equations that can be easily solved. Intersections between quadrics lead to quartic equations that can be solved algebraically.
== On a plane ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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