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In geometry central lines are certain special straight lines associated with a plane triangle and lying in the plane of the triangle. The special property that distinguishes a straight line as a central line is manifested via the equation of the line in trilinear coordinates. This special property is related to the concept of triangle center also. The concept of a central line was introduced by Clark Kimberling in a paper published in 1994. ==Definition== Let ''ABC'' be a plane triangle and let ( ''x'' : ''y'' : ''z'' ) be the trilinear coordinates of an arbitrary point in the plane of triangle ''ABC''. A straight line in the plane of triangle ''ABC'' whose equation in trilinear coordinates has the form : ''f'' ( ''a'', ''b'', ''c'' ) ''x'' + ''g'' ( ''a'', ''b'', ''c'' ) ''y'' + ''h'' ( ''a'', ''b'', ''c'' ) ''z'' = 0 where the point with trilinear coordinates ( ''f'' ( ''a'', ''b'', ''c'' ) : ''g'' ( ''a'', ''b'', ''c'' ) : ''h'' ( ''a'', ''b'', ''c'' ) ) is a triangle center, is a central line in the plane of triangle ''ABC'' relative to the triangle ''ABC''.〔 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「Central line (geometry)」の詳細全文を読む スポンサード リンク
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