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In neutral or absolute geometry, and in hyperbolic geometry, there may be many lines parallel to a given line through a point not on line ; however, in the plane, two parallels may be closer to than all others (one in each direction of ). Thus it is useful to make a new definition concerning parallels in neutral geometry. If there are closest parallels to a given line they are known as the limiting parallel, asymptotic parallel or horoparallel (horo from (ギリシア語:ὅριον ) — border). For rays, the relation of limiting parallel is an equivalence relation, which includes the equivalence relation of being coterminal. Limiting parallels may form two, or three sides of a limit triangle. ==Definition== A rays is a limiting parallel to a ray if they are coterminal or if they lie on distinct lines not equal to the line , they do not meet, and every ray in the interior of the angle meets the ray . 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Limiting parallel」の詳細全文を読む スポンサード リンク
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