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# Hellow All I have provided a symbolic triangle of...

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 Question by Bassam Karzeddin Submitted on 1/30/2007 Related FAQ: sci.math FAQ: The Trisection of an Angle Rating: Not yet rated Rate this question: N/A Worst Weak OK Good Great Hellow All I have provided a symbolic triangle of constructible length (where you can choose) in sci.math - thread of mine- (alpha - beta) triangle that possess an arbitrary angle and it's exact n'th division angle kindly see the subject below: If Alpha and Beta are two angles in the same triangle and (n) is positive integer,(m) is integer >= 0,such that: n*Alpha = Beta Mod (PI) OR: n*Alpha - m*(PI) = Beta Where, Angle (PI) = 180 degree OR: (PI) = 3.14159265... Then, the sides of (Alpha-Beta) Triangle are of the ratio: 1 :: absolute value of f(x) ::absolute value of g(x) Where, f (x) and g (x) are two polynomial equations of degrees (n) and (n-1) successively in any real variable (x) such that the sum of smaller sides is grater or equal than the larger side. And f (x) is defined as the following: f (x) = Sum {from i=0,to, i=[n/2]} (-1)^i*(n-i)! *x^(n-2*i)/{(n-2*i)! *i!} Where, ! denotes the factorial of a number,and, [..] denotes the least integer g (x) is a polynomial of the same kind of f (x), but, with (n-1) degree. Example: Assuming n=3, m=0, and applying in the above equations will give you a triangle with an arbitrary angle and it's exact trisection angle in the same triangle, with the following sides 1, x, (x-1)*seqrt(x+1), where, (3>x>1), and x  is any constructible length Thanking You All for your patience. Best Regards Bassam King Karzeddin Al Hussein Bin Talal University JORDAN My question : is this an addition to divisible angles or nonsence as I'm a civil engineer and don't belong to the mathematician cateogry

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