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golden mean

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Nombre d'or 2003-10-31
Claude pose la question :

Comment démontrer que si a/b est égal au nombre d'or alors a+b/a est égal aussi au nombre d'or

Comment faut t il choisir a et b pour que le puzzle de lewis caroll soit réalisable? on sait déjà que les nombres 8 et 5 ainsi que 6 et 3 ne sont pas valables.


Claude Tardif lui répond.
le nombre d'or 2000-06-14
Belhaj Saad pose la question :
quel est le nombre d'or?
Claude Tardif lui répond.
The name of an equation 2006-11-13
Lee pose la question :
I am struggling to find the name of the following equation. I remember watching a TV programme introduced by Arthur C Clarke. The programme focused on an equation that gave a wonderful pattern that went on into infinity. Two maths professors discussed this equation.It was described as 'Gods equation' as it was compared to the shape of trees and other shapes in nature. It was named after the inventor/discoverer. If you have any ideas i would be most grateful.
Penny Nom lui répond.
The golden ratio 2004-12-31
Cristina pose la question :
let x represent the longer segment. to find the golden ratio, write a proportion such that the longer of the two segments is the geometric mean between the shorter segment and the entire segment.Use the quadratic Formula to solve the proportion for X. Find the value in both radical and decimal form.
Penny Nom lui répond.
AB/AP=AP/PB 2003-11-20
James pose la question :
My name is James McBride. I'm having a difficult time with a pre calculus problem, which goes as follows: "show that AB/AP=AP/PB is equal to (1+5^1/2)/2 (one plus the sqaure root of five with the sum divided by two. I can't do the square root sign, sorry.) I have tried to solve for PB in terms of the other varialbles and then work the quadratic equation. THAT DOES NOT WORK!!!! I am befuddled. Please help me. I am a student of secondary level.
Penny Nom lui répond.
The golden ratio 2003-09-23
Phillip pose la question :
The Golden Section can be made from an equilatereral triangle inscribed within a circle. The Golden Section is achieved by joining the mid points of two arms of the triangle to the circumference. I can prove this by erecting a perpendicular to the line outside the circle, but am interested to see how it can be proved from within the circle.
Chris Fisher lui répond.
Fibonacci Numbers 1999-12-15
Gary Nelb pose la question :
I'm doing a project on fibonacci numbers and I'm using different starting values and finding out if different starting values to see whether or not the ratios still get closer to phi. I was wondering, what numbers should I use. Should I use two of the same # like 2 and 2, or numbers like 1 and 2, or even something totally different.
Denis Hanson lui répond.
 
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