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Golden ratio

Number, approximately 1.618

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General referenceInterpretive dossier study · Crown Archives visual atlas
Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionSep 23, 2026
Entity authoritySource title only
Source-derived summary

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities ⁠⁠ and ⁠⁠ with ⁠⁠, ⁠⁠ is in a golden ratio to ⁠⁠ if

where the Greek letter phi denotes the golden ratio. The constant ⁠⁠ satisfies the quadratic equation ⁠⁠ and is an irrational number with a value of

1.618033988749....

The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli; it also goes by other names.

Editorial summary

“Golden ratio” enters the record as number, approximately 1.618. Crown Archives preserves that source wording while asking what Golden, ratio and Number can confirm, complicate or overturn.

Editorial reviewA practical starting point whose main value is the path it opens into stronger specialist and primary sources. The current 98-word lead offers orientation but no explicit four-digit date, so chronology should not be assumed. The selected authority fields contribute no independent date. Its strongest next move is a source search built around Golden, ratio and Number.
Editorial analysis

Why this record matters

“Golden ratio” is worth following because a concise public description often conceals a longer documentary argument. Here, Golden, ratio and Number provides the most credible route into that argument.

Evidence profile

Named sources, stable identifiers and responsible institutions provide the strongest route from overview to verifiable evidence. The source revision retrieved here is dated Sep 23, 2026.

Critical limits

Overview language is designed for orientation and should not be treated as a substitute for the evidence cited beneath it. The lead is largely declarative, so disagreement and counter-evidence require a deliberate search beyond the opening account. Authority statements aid reconciliation but still require their own references, qualifiers and ranks to be checked.

How to read it

Use the entry as an orientation point, then follow its citations and revision history. Names, dates and institutional relationships should be checked against the original record.

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Source & attribution

This entry incorporates text from “Golden ratio” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.