novaBBS - sci.math - Re: Exact Trisecting

Re: Exact Trisecting

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Date: Wed, 30 Aug 2023 14:44:15 -0700 (PDT)
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Subject: Re: Exact Trisecting
From: b.karzed...@yahoo.com (bassam karzeddin)
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by: bassam karzeddin - Wed, 30 Aug 2023 21:44 UTC

On Tuesday, July 19, 2005 at 1:09:47 PM UTC+3, Robert Israel wrote:
> In article <dbgogh$679$1...@dizzy.math.ohio-state.edu>,
> bassam king karzeddin <bas...@ahu.edu.jo> wrote:
> >I will be glad to know if I wrote nonsence mathematics or something
> >useful.here is the problem.
> >An arbitrary angle and its exact trisection angle fits exactly in the
> >following symbolic triangle with the following sides:
> > a^3 , a*(b^2-a^2) , b*(b^2-2*a^2)
> >Where : 2 >= b/a >= sqrt(2)
> > (a,b):are positive real numbers
> I think you mean: if theta is an angle between 0 and pi/4,
> a triangle with angles theta, 3 theta and pi - 4 theta
> has sides with the ratios a^3 :: a*(b^2-a^2) :: b*(b^2-2*a^2)
> where cos(theta) = b/(2*a).
> Yes, that's true, and elementary to verify using the Law of Sines
> and addition formulas for the sine function.
> Robert Israel isr...@math.ubc.ca
> Department of Mathematics http://www.math.ubc.ca/~israel
> University of British Columbia Vancouver, BC, Canada

Warp 7 -- It's a law we can live with.

tech / sci.math / Re: Exact Trisecting

Subject	Author
Re: Exact Trisecting	bassam karzeddin