On Monday, July 18, 2005 at 5:53:15 PM UTC+3, bassam king karzeddin wrote:

Dear Mathematicians
I have posted in the geometry research the following problem about angle trisection,but did not get a clear opinion ,and, since, here is a larger groub.
I will be glad to know if I wrote nonsense 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
Of course, I have a hand written proofs for this fact.
Thanking you.
Bassam Karzeddin
Al Hussein Bin Talal University
JORDAN
********************************

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

On Monday, July 18, 2005 at 5:53:15 PM UTC+3, bassam king karzeddin wrote:

Dear Mathematicians
I have posted in the geometry research the following problem about angle trisection,but did not get a clear opinion ,and, since, here is a larger groub.
I will be glad to know if I wrote nonsense 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)

Correction: (2 > b/a > Sqrt(2))

(a,b):are positive real numbers
Of course, I have a hand written proofs for this fact.
Thanking you.
Bassam Karzeddin
Al Hussein Bin Talal University
JORDAN
********************************

And I later discovered the secret of non-existing angles

Bkk

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

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--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

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--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

On Saturday, September 30, 2023 at 7:04:54 PM UTC+3, Jeff Barnett wrote:

On 9/30/2023 9:52 AM, Jeff Barnett wrote:

On 9/30/2023 5:15 AM, bassam karzeddin wrote:

On Monday, July 18, 2005 at 5:53:15 PM UTC+3, bassam king karzeddin
wrote:

Dear Mathematicians
I have posted in the geometry research the following problem about
angle trisection,but did not get a clear opinion ,and, since, here is >>> a larger groub.
I will be glad to know if I wrote nonsense 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)

Correction: (2 > b/a > Sqrt(2))

(a,b):are positive real numbers
Of course, I have a hand written proofs for this fact.
Thanking you.
Bassam Karzeddin
Al Hussein Bin Talal University
JORDAN
********************************

And I later discovered the secret of non-existing angle

I suggest you beg, borrow, steal, or (simply) buy a copy of the
following book:

The Trisectors (Spectrum) Paperback – September 5, 1996
by Underwood Dudley (Author)

Amazon USA carries it and I'm sure other book sellers do too. It's a fun read.

PS It's available and less expensive in E-book form at https://bookstore.ams.org/view?ProductCode=SPEC/16

--
Jeff Barnett

Did your holly books mention anything about the non-existing angles as the most famous angle of (Pi/9 = 20) Degrees Angle?

Most likely they will arrange it somehow from a foreged historical sources in the near future FOR SURE

BKK

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

On Monday, October 2, 2023 at 5:22:38 AM UTC+3, bassam karzeddin wrote:

On Saturday, September 30, 2023 at 7:04:54 PM UTC+3, Jeff Barnett wrote:

On 9/30/2023 9:52 AM, Jeff Barnett wrote:

On 9/30/2023 5:15 AM, bassam karzeddin wrote:

On Monday, July 18, 2005 at 5:53:15 PM UTC+3, bassam king karzeddin >> wrote:

Dear Mathematicians
I have posted in the geometry research the following problem about
angle trisection,but did not get a clear opinion ,and, since, here is >>> a larger groub.
I will be glad to know if I wrote nonsense 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)

Correction: (2 > b/a > Sqrt(2))

(a,b):are positive real numbers
Of course, I have a hand written proofs for this fact.
Thanking you.
Bassam Karzeddin
Al Hussein Bin Talal University
JORDAN
********************************

And I later discovered the secret of non-existing angle

I suggest you beg, borrow, steal, or (simply) buy a copy of the following book:

The Trisectors (Spectrum) Paperback – September 5, 1996
by Underwood Dudley (Author)

Amazon USA carries it and I'm sure other book sellers do too. It's a fun read.

PS It's available and less expensive in E-book form at https://bookstore.ams.org/view?ProductCode=SPEC/16

--
Jeff Barnett

Did your holly books mention anything about the non-existing angles as the most famous angle of (Pi/9 = 20) Degrees Angle?

Most likely they will arrange it somehow from a foreged historical sources in the near future FOR SURE

BKK

The simple theme that humans generally were incapable to understand it correctly as I only did is that "something doesn't exist then it is absolutely impossible to construct by any tools or any means as well

However, proofs of Wantzel in 1836 about the impossibility of constructing the angle Pi/9 is not a true mathematical rigorous proof but only a true conclusion that was associated to tools of unmarked straigt edge & a compass

However, tools in mathematics are for skilled carpenters & never for any true genius mathematicians FOR SURE

BKK

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)