Summer 2009 : A new show during Mezerville Party !
The Mézerville Castle Cultural Association is happy to
introduce :
SHOW de DIVAS!
Sunday, August 23 at 17:00 in the courtyard of Castle :
Join us to ensure its success !

• Let ABCD be a square
• O centre of AD
• An arc centered at O and radius OC intersects the prolongation of AD at F
• The segment AF represents the golden number
In the right angled triangle OCD:
If : AD =AB = BC = 1
So :

So :
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The rectangle ABEF is called a “golden rectangle” because its sides are in the ratio of the golden number

The regular pentagon is a regular polygon with 5 sides inscribed in a circle and for which all the sides and all the angles have the same measuresments.
The angle between two consecutive sides equals 108°
Let ADC, ADF and AFC be the triangles
If DC = AD sin 18° + AC sin 18°
If DC = AD x 2sin 18°
DC = AD x 0,618
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The ratio between a diagonal and one side of the pentagon is equal to the golden number.
The triangles AED and ADC are called “golden triangles” because their sides are in the ratio of the golden number
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The sides of squares are a sequence of Fibonacci
1, 1, 2, 3, 5, 8, 13 ...
The face can be made from golden rectangles