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Segment addition postulate
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Segment addition postulate : ウィキペディア英語版
Segment addition postulate
In geometry, the segment addition postulate states that given two points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC. This is related to the triangle inequality, which states that AB + BC \geq AC with equality if and only if A, B, and C are collinear (on the same line). This in turn is equivalent to the proposition that the shortest distance between two points lies on a straight line.
The segment addition postulate is often useful in proving results on the congruence of segments.
==External links==

* http://www.course-notes.org/Geometry/Segments_and_Rays/Segment_Addition_Postulate

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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