Editing Orthogonality (section)

==Etymology==
The word comes from the [[Ancient Greek]] {{wikt-lang|grc|ὀρθός}} (''{{grc-transl|ὀρθός}}''), meaning "upright",<ref>Liddell and Scott, ''[[A Greek–English Lexicon]]'' [https://www.perseus.tufts.edu/hopper/morph?l=o%29rqos&la=greek#lexicon ''s.v.'' ὀρθός]</ref> and {{wikt-lang|grc|γωνία}} (''{{grc-transl|γωνία}}''), meaning "angle".<ref>Liddell and Scott, ''[[A Greek–English Lexicon]]'' [https://www.perseus.tufts.edu/hopper/morph?l=gwni%2Fa&la=greek#lexicon ''s.v.'' γωνία]</ref>

The Ancient Greek {{wikt-lang|grc|ὀρθογώνιον}} (''{{grc-transl|ὀρθογώνιον}}'') and [[Classical Latin]] ''{{wikt-lang|la|orthogonium}}'' originally denoted a [[rectangle]].<ref>Liddell and Scott, ''[[A Greek–English Lexicon]]'' [https://www.perseus.tufts.edu/hopper/morph?l=o%29rqog%2Fwnion&la=greek#lexicon ''s.v.'' ὀρθογώνιον]</ref> 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.<ref>{{cite dictionary |entry=orthogonal |dictionary=[[Oxford English Dictionary]] |edition=3rd |publisher=[[Oxford University Press]] |date=September 2004}}</ref>