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Antiparallel (mathematics) : ウィキペディア英語版
Antiparallel (mathematics)

In geometry, anti-parallel lines can be defined with respect to either lines or angles.
==Definitions==

Given two lines m_1 \, and m_2 \,, lines l_1 \, and l_2 \, are anti-parallel with respect to m_1 \, and m_2 \, if \angle 1 = \angle 2 \, in Fig.1. If l_1 \, and l_2 \, are anti-parallel with respect to m_1 \, and m_2 \,, then m_1 \, and m_2 \, are also anti-parallel with respect to l_1 \, and l_2 \,.
In any quadrilateral inscribed in a circle, any two opposite sides are anti-parallel with respect to the other two sides (Fig.2).
Two lines l_1 and l_2 are antiparallel with respect to the sides of an angle if and only if they make the same angle \angle APC in the opposite senses with the bisector of that angle (Fig.3).

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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