- Visiting the castle ;
- Landscape environment ;
- Annabel ROMERO 2006 ;
- Costa-Rica's family visit ;
- Casta Diva, Vox Populi, 2007 ;
- The Salt Strawberries, 2008 ;
- Show de Divas, 2009 ;
- The Mézerville Cultural Association ;
- Catharism ;
- Woad ;
- J D’A deposition ;
- I J deportation ;
- The Mézerville in Costa Rica ;
- Gaston Phébus ;
- Mézerville a gastronomique land ;
- Bibliography ;
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 !
The Golden Number
Let AB be a segment divided at the C point, we speak about the “divine proportion” when
If AC = a and CB = b, the Golden Number is defined as the ratio a/b called phi
The divine proportion can be written:
Multiplying all terms by phi gives the equation
This equation comes out as a positive solution
which is the Golden Number :
1,61803398 ...
From the previous equation, two interesting properties of the Golden Number are revealed:
-> It is the only number which added to one is its own square, and subtracted from one is its own inverse.
Other noteworthy properties
These numbers define a “sequence” called “Fibonacci sequence”
1, 1, 2, 3, 5, 8, 13, 21, .....
Golden Number and unities of measurement
In the Middle Ages, the cathedral builders used 5 units of measurement related to the human body:
- the “paume” (the palm) = 34 lignes = 7,64 cm
- the “palme” = 55 lignes = 12,36 cm
(distance between the forefinger and the little finger, hand opened) - the “empan” = 89 lignes = 20 cm
(distance from the thumb to the little finger) - the “pied” (the foot) = 144 lignes = 32,36 cm
- the “coudée” (the cubit) = 233 lignes = 52,36 cm
With a base unity : the line = 2,247 mm
The result is two surprising truths:
To go from one measure to another you multiply it by the golden number.
- the “palme” = the “paume” * 1,618 (7,64 * 1,618) = 12,36 cm
- the foot = the “empan” * 1,618 (20 * 1,618) = 32,36 cm
- the cubit = the foot * 1,618 (32,36 * 1,618) = 52,36 cm
A unit of measurement is equal to the sum of the two previous units
- “empan” = “palme” + “paume” (12,36 + 7,64) = 20 cm
- foot = “empan” + “paume” (20 + 12,36) = 32,36 cm
- cubit = “empan” + foot (20 + 32,36) = 52,36 cm