Pythagorean theorem

English

A geometrical proof of the Pythagorean theorem.

Alternative forms

• Pythagoras' theorem, theorem of Pythagoras

Etymology

Named after Pythagoras (from Ancient Greek Πυθαγόρας (Puthagóras)), the Greek mathematician and philosopher who by tradition is credited with the theorem’s discovery and proof.

Pronunciation

• Audio (Southern England):

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Proper noun

the Pythagorean theorem

1. (geometry) A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides.

   Synonyms: Baudhayana theorem, Gougu theorem

   The Pythagorean theorem only applies to right triangles.

2. (functional analysis) A generalization of the Pythagorean theorem for Euclidean triangles to Hilbert spaces.

Translations

mathematical theorem

• Arabic: مُبَرْهَنَةْ فِيثَاغُورَس f (mubarhanat fīṯāḡūras)
• Armenian: Պյութագորասի թեորեմ (Pyutʻagorasi tʻeorem)
• Chinese:

  Mandarin: 勾股定理 (zh) (gōugǔ dìnglǐ), 畢達哥拉斯定理／毕达哥拉斯定理 (Bìdágēlāsī-dìnglǐ), 畢氏定理／毕氏定理 (zh) (Bì-shì dìnglǐ)

• Czech: Pythagorova věta f
• Dutch: stelling van Pythagoras f
• Finnish: Pythagoraan lause
• French: théorème de Pythagore (fr) m
• German: Satz des Pythagoras (de) m
• Hungarian: Pitagorasz-tétel (hu)
• Icelandic: Pýþagórasarregla, regla Pýþagórasar, setning Pýþagórasar
• Irish: teoirim Phíotagarásach f
• Italian: teorema di Pitagora
• Japanese: ピタゴラスの定理 (Pitagorasu no teiri), 三平方の定理 (さんへいほうのていり, sanhēō no tēri)
• Khmer: ទ្រឹស្ដីបទពីតាករ (trɨhsdəybɑt piitaakɑɑ)
• Latin: theorema Pythagorae n
• Latvian: Pitagora teorēma f
• Macedonian: Питагорина теорема f (Pitagorina teorema)
• Malay: teorem Pitagoras
• Malayalam: പൈതഗോറസ് സിദ്ധാന്തം (paitagōṟasŭ siddhāntaṁ)
• Polish: twierdzenie Pitagorasa n
• Portuguese: teorema de Pitágoras (pt) m
• Russian: теоре́ма Пифаго́ра f (teoréma Pifagóra)
• Spanish: teorema de Pitágoras
• Swedish: Pythagoras sats c
• Turkish: Pisagor teoremi
• Ukrainian: теоре́ма Піфаго́ра f (teoréma Pifahóra)
• Vietnamese: định lí Pi-ta-go