Phrase guide

golden ratio

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

The irrational number (approximately 1.618), usually denoted by the Greek letter φ (phi), which is equal to the sum of its own reciprocal and 1, or, equivalently, is the square root of the sum of itself and 1.

Definition source: English Wiktionary via Wiktextract

Topics: geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: extreme ratio, golden cut, golden number, golden proportion, mean ratio, sectio divina, φ

Antonyms: none provided

Broader terms: algebraic number, algebraic integer, irrational number, quadratic integer

History

Etymology

No etymology was provided for this word.

Across languages

Translations

43 source translations are retained for this English entry.

  • Arabic: الرَقْم الذَهَبِيّ (ar-raqm aḏ-ḏahabiyy) — irrational number
  • Bulgarian: златно сечение (zlatno sečenie) — irrational number
  • Chinese Mandarin: 黃金分割 /黄金分割 (huángjīn fēngē) — irrational number
  • Czech: zlatý řez — irrational number
  • Danish: gyldne snit — irrational number
  • Danish: guddommelige forhold — irrational number
  • Danish: det gyldne snit — irrational number
  • Dutch: gulden snede — irrational number
  • Esperanto: ora proporcio — irrational number
  • Estonian: kuldlõige — irrational number
  • Finnish: kultainen leikkaus — irrational number
  • French: nombre d’or — irrational number
  • Georgian: ოქროს კვეთა (okros ḳveta) — irrational number
  • German: Goldener Schnitt — irrational number
  • Greek: χρυσή τομή (chrysí tomí) — irrational number
  • Hebrew: יחס הזהב — irrational number
  • Hungarian: aranymetszés — irrational number
  • Hungarian: aranyarány — irrational number
  • Icelandic: gullinsnið — irrational number
  • Italian: sezione aurea — irrational number
  • Japanese: 黄金比 — irrational number
  • Japanese: 黄金比率 (ōgon hiritsu) — irrational number
  • Korean: 황금비 (hwanggeumbi) — irrational number
  • Latvian: zelta griezums — irrational number
  • Lithuanian: aukso pjūvi — irrational number
  • Luxembourgish: Gëllene Schnëtt — irrational number
  • Macedonian: златен пресек (zlaten presek) — irrational number
  • Persian: نسبت طلایی — irrational number
  • Polish: złota proporcja — irrational number
  • Polish: złoty podział — irrational number
  • Polish: boska proporcja — irrational number
  • Portuguese: proporção áurea — irrational number
  • Romanian: secțiunea de aur — irrational number
  • Russian: золото́е сече́ние (zolotóje sečénije) — irrational number
  • Slovak: zlatý rez — irrational number
  • Slovene: zlati rez — irrational number
  • Spanish: número áureo — irrational number
  • Swedish: gyllene snittet — irrational number
  • Thai: อัตราส่วนทองคํา (àtdraa sùan tong kam) — irrational number
  • Turkish: altın oran — irrational number
  • Ukrainian: золоти́й пере́тин (zolotýj perétyn) — irrational number
  • Vietnamese: tỷ lệ vàng — irrational number
  • Volapük: numat goldik — irrational number