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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Newton line ： ウィキペディア英語版 Newton line In Euclidean geometry the Newton line is the line that connects the midpoints of the two diagonals in a convex quadrilateral with at most two parallel sides.〔Claudi Alsina, Roger B. Nelsen: ''Charming Proofs: A Journey Into Elegant Mathematics''. MAA, 2010, ISBN 9780883853481, pp. 108-109 ()〕 This line has a few interesting geometrical properties. In particular, the line segments connecting the midpoints of opposite sides of a convex quadrilateral intersect in a point that lies on the Newton line. If the quadrilateral is a tangential quadrilateral, then its incenter also lies on this line.〔Dušan Djukić, Vladimir Janković, Ivan Matić, Nikola Petrović, ''The IMO Compendium'', Springer, 2006, p. 15.〕 ==See also== *Anne's theorem *Complete quadrangle 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「Newton line」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.