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• Perhaps this is obvious to many of you; Can you please suggest how to construct a cyclic quadrilateral given the lengths of its four sides? Is there a solution
Message 1 of 2 , Feb 2, 2004
Perhaps this is obvious to many of you;

the lengths of its four sides?
Is there a solution which does not first arithmetically calculate the
length of its radius using for example, Brahmagupta's formula?

Sriram Panchapakesan
• ... given ... the ... This problem is owned by the mathematician Sturm who has borned in Genova in 1803. Suppose the problem has been solved, draw a cyclic
Message 2 of 2 , Feb 3, 2004
--- In Hyacinthos@yahoogroups.com, "pskssvsk2003" <pskssvsk2003@y...>
wrote:
> Perhaps this is obvious to many of you;
>
given
> the lengths of its four sides?
> Is there a solution which does not first arithmetically calculate
the
> length of its radius using for example, Brahmagupta's formula?
>
> Sriram Panchapakesan

This problem is owned by the mathematician Sturm who has borned in
Genova in 1803.
Suppose the problem has been solved, draw a cyclic quadrilateral ABCD
and its' circumcircle. We know A+C=B+D=180. Draw the diagonal AC.Then
take a point on [CD (outside the circle) so that m(BAC)=m(DAE). Since