## Reference of Golden Number construction

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• The following construction of the golden number is very well-known and very easy to prove: Given the segment AB, (1) Erect BC perpendicular to AB. (2) Find the
Message 1 of 3 , Mar 7, 2011
The following construction of the golden number is very well-known and very easy to prove:

Given the segment AB,
(1) Erect BC perpendicular to AB.
(2) Find the midpoint D of AB.
(3) Describe an arc with radius DC and D as center, intersecting the ray AB at E.
Then AE/AB = golden number.

Does this construction date back to the greeks? Some reference?
• ... You forget to precise AB=BC. -- Etienne
Message 2 of 3 , Mar 8, 2011
Le 08/03/2011 08:38, Francisco Javier a écrit :
> The following construction of the golden number is very well-known and
> very easy to prove:
>
> Given the segment AB,
> (1) Erect BC perpendicular to AB.
> (2) Find the midpoint D of AB.
> (3) Describe an arc with radius DC and D as center, intersecting the ray
> AB at E.
> Then AE/AB = golden number.

You forget to precise AB=BC.

--

Etienne
• Of course, you are right.
Message 3 of 3 , Mar 8, 2011
Of course, you are right.

--- In Hyacinthos@yahoogroups.com, Etienne Rousee <etienne@...> wrote:
>
> Le 08/03/2011 08:38, Francisco Javier a ï¿½crit :
> > The following construction of the golden number is very well-known and
> > very easy to prove:
> >
> > Given the segment AB,
> > (1) Erect BC perpendicular to AB.
> > (2) Find the midpoint D of AB.
> > (3) Describe an arc with radius DC and D as center, intersecting the ray
> > AB at E.
> > Then AE/AB = golden number.
>
> You forget to precise AB=BC.
>
> --
>
> Etienne
>
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