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orthogonality : ウィキペディア英語版
orthogonality

In mathematics, orthogonality is the relation of two lines at right angles to one another (perpendicularity), and the generalization of this relation into ''n'' dimensions; and to a variety of mathematical relations thought of as describing non-overlapping, uncorrelated, or independent objects of some kind.
The concept of orthogonality has been broadly generalized in mathematics, science, and engineering, especially since the beginning of the 16th century. Much of the generalizing has taken place in the areas of mathematical functions, calculus and linear algebra.
==Etymology==

The word comes from the Greek ' (''orthos''), meaning "upright", and ' (''gonia''), meaning "angle".
The ancient Greek ὀρθογώνιον ''orthogōnion'' (< ὀρθός ''orthos'' 'upright'〔Liddell and Scott, ''A Greek–English Lexicon'' (''s.v.'' ὀρθός )〕 + γωνία ''gōnia'' 'angle'〔Liddell and Scott, ''A Greek–English Lexicon'' (''s.v.'' γονία )〕) and classical Latin ''orthogonium'' originally denoted a rectangle.〔Liddell and Scott, ''A Greek–English Lexicon'' (''s.v.'' ὀρθογώνιον )〕 Later, they came to mean a right triangle. In the 12th century, the post-classical Latin word ''orthogonalis'' came to mean a right angle or something related to a right angle.〔Oxford English Dictionary, Third Edition, September 2004, ''s.v.'' orthogonal〕

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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