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golden rectangle [1 record]
Record 1 - internal organization data 1996-01-22
Record 1, English
Record 1, Subject field(s)
- Plane Geometry
- Numerical Analysis (Mathematics)
- Architectural Styles
Record 1, Main entry term, English
- golden rectangle
1, record 1, English, golden%20rectangle
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- golden mean rectangle 2, record 1, English, golden%20mean%20rectangle
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
a rectangle whose width is to its length as the length is to the sum of the width and length. 3, record 1, English, - golden%20rectangle
Record number: 1, Textual support number: 1 CONT
If a golden rectangle ABCD is drawn and a square ABEF is removed, the remaining rectangle ECDF is also a golden rectangle. If this process is continued and circular arcs are drawn, the curve formed approximates the logarithmic spiral, a form found in nature. 4, record 1, English, - golden%20rectangle
Record number: 1, Textual support number: 2 CONT
From any golden rectangle one can get a new golden rectangle whose length is the width of the original rectangle. The process can be repeated indefinitely, resulting in an infinite sequence of golden rectangles whose sizes shrink to zero. 5, record 1, English, - golden%20rectangle
Record 1, Key term(s)
- golden section
Record 1, French
Record 1, Domaine(s)
- Géométrie plane
- Analyse numérique (Mathématiques)
- Styles en architecture
Record 1, Main entry term, French
- rectangle d'or
1, record 1, French, rectangle%20d%27or
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- rectangle doré 2, record 1, French, rectangle%20dor%C3%A9
correct, masculine noun
- rectangle parfait 3, record 1, French, rectangle%20parfait
correct, masculine noun
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
rectangle dans lequel le rapport de la longueur du grand côté à celle du petit côté est égal au nombre d'or. 4, record 1, French, - rectangle%20d%27or
Record number: 1, Textual support number: 1 CONT
[...] le nombre d'or [...] vaut approximativement 1,618 033 989 ... le rectangle dont les côtés sont dans ce rapport jouit de propriétés remarquables. Il se prête notamment à un découpage infini générateur de rectangles semblables de plus en plus petits, portant en germe un développement en fractions continues. Si dans un rectangle ABCD, établi suivant la proportion du nombre d'or, on construit, sur le petit côté AB, un carré ABEF, on découpe un rectangle FECD semblable au premier [...] Inversement, en accolant un carré BKLC au grand côté BC d'un rectangle parfait ABCD, on obtient un autre rectangle parfait AKLD, et ainsi de suite. 3, record 1, French, - rectangle%20d%27or
Record number: 1, Textual support number: 1 OBS
Voir aussi «nombre d'or» et «section d'or». 5, record 1, French, - rectangle%20d%27or
Record 1, Spanish
Record 1, Textual support, Spanish
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