Editing Hypotenuse (section)

==Etymology==
{{wiktionary|ὑποτείνουσα}}
The word ''hypotenuse'' is derived from [[Ancient Greek|Greek]] {{lang|grc|ἡ τὴν ὀρθὴν γωνίαν <u>ὑποτείνουσα</u>}} (sc. {{lang|grc|γραμμή}} or {{lang|grc|πλευρά}}), meaning "[side] <u>subtending</u> the right angle" ([[Apollodorus of Athens|Apollodorus]]),<ref>{{LSJ|u(po/}}, {{LSJ|tei/nw}}, {{LSJ|pleura/|ref}}</ref> {{lang|grc|ὑποτείνουσα}} ''hupoteinousa'' being the feminine present active participle of the verb {{lang|grc|ὑποτείνω}} ''hupo-teinō'' "to stretch below, to subtend", from {{lang|grc|τείνω}} ''teinō'' "to stretch, extend". The nominalised participle, {{lang|grc|ἡ ὑποτείνουσα}},  was used for the hypotenuse of a triangle in the 4th century BCE (attested in [[Plato]], ''[[Timaeus (dialogue)|Timaeus]]'' 54d). The Greek term was [[Romanization of Greek|loaned]] into [[Late Latin]],<!--"Late Latin" is from etymonline, without specification; we have evidence for the term being used in New Latin, but so far we have no reference to actual Late Latin--> as ''hypotēnūsa''.<ref>{{Cite web|url=https://www.etymonline.com/word/hypotenuse|title=hypotenuse {{!}} Origin and meaning of hypotenuse by Online Etymology Dictionary|website=www.etymonline.com|language=en|access-date=2019-05-14}}</ref><ref>{{cite web|url=https://www.collinsdictionary.com/dictionary/english/hypotenuse|title=hypotenuse definition and word origin|website=Collins Dictionary|publisher=Collins|access-date=2022-04-12}}</ref> The spelling in ''-e'', as ''hypotenuse'', is French in origin ([[Estienne de La Roche]] 1520).<ref>Estienne de La Roche, ''l'Arismetique'' (1520), fol. 221r (cited after [http://www.cnrtl.fr/etymologie/hypotenuse TLFi]).</ref>
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A [[folk etymology]] mentioned in the 1940s incorrectly claims that ''tenuse'' means "side" and ''hypotenuse'' means a support like a prop or [[buttress]].<ref>{{cite book |title=Romping Through Mathematics |last=Anderson |first=Raymond |coauthors= |year=1947 |publisher=Faber |location= |isbn= |pages=52}}</ref>

[[Merriam-Webster's Collegiate Dictionary]]{{year needed|date=October 2018}} offers the alternative unetymological spelling ''hypothenuse'', but this is very rarely seen.
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