golden ratio

English

A pentagram colored to distinguish its line segments of different lengths. The four lengths are in golden ratio to one another.

Etymology

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)

Noun

golden ratio (plural golden ratios)

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

   Synonyms: golden number, golden section

Hypernyms

• algebraic number
• algebraic integer
• irrational number
• quadratic integer

Translations

irrational number

• Arabic: الرَقْم الذَهَبِيّ (ar-raqm aḏ-ḏahabiyy)
• Bulgarian: златно сечение (zlatno sečenie)
• Chinese:

  Mandarin: 黃金分割／黄金分割 (zh) (huángjīn fēngē), 黄金分割 (zh) (huángjīn fēngē)

• Czech: zlatý řez m
• Danish: gyldne snit n, guddommelige forhold n
• Dutch: gulden snede
• Esperanto: ora proporcio
• Estonian: kuldlõige
• Finnish: kultainen leikkaus (fi)
• French: nombre d’or (fr) m
• Georgian: ოქროს კვეთა (okros ḳveta)
• German: Goldener Schnitt m
• Greek: χρυσή τομή (el) f (chrysí tomí)
• Hebrew: יחס הזהב
• Hungarian: aranymetszés (hu)
• Icelandic: gullinsnið
• Italian: sezione aurea (it) f
• Japanese: 黄金比 (おうごんひ ōgon hi), 黄金比率 (おうごんひりつ, ōgon hiritsu)
• (deprecated template usage) {{trans-mid}}
• Korean: 황금비 (ko) (hwanggeumbi)
• Latvian: zelta griezums
• Lithuanian: aukso pjūvi
• Luxembourgish: Gëllene Schnëtt
• Macedonian: златен пресек (zlaten presek)
• Persian: نسبت طلایی
• Polish: złota proporcja f, złoty podział m
• Portuguese: proporção áurea
• Romanian: secțiunea de aur
• Russian: золото́е сече́ние n (zolotóje sečénije)
• Slovak: zlatý rez
• Slovene: zlati rez (sl)
• Spanish: número áureo m
• Swedish: gyllene snittet (sv)
• Thai: อัตราส่วนทองคำ (àtdraa sùan tong kam)
• Turkish: altın oran (tr)
• Ukrainian: золотий перетин (zolotyj peretyn)
• Vietnamese: tỷ lệ vàng

See also

• golden ratio on Wikipedia.Wikipedia
• divine proportion
• extreme ratio
• golden cut
• golden mean
• golden proportion
• golden rectangle
• golden section
• mean ratio
• sectio divina
• φ