notice of scientific relevance
Every assumption you will read, or have read on this site of mine about π has finally been proven correct,
thanks to the geometric device called «Pi-drawer» that I designed to literally extract from the circle and perform the exact calculation of the real Pi constant, using a 4th degree polynomial algebraic equation with rational coefficients (yet declared inapplicable by π contortionists).
Note that the theorem, while ultimately validating all my arguments, was developed quite independently from what I have formulated in the various articles on the golden section which, the more because it is its point of arrival and radix, cannot be adopted to demonstrate itself.
It is not based on personal formulas, but on objective and linear geometric and algebraic deductions, such that they cannot be questioned.
Alike we commonly use to define the golden ratio a+b÷a=a÷b (for me is much more in depth: 1=x+x×x), deriving it from a segment's partition, we will see how to represent ¼π as
1/l² - l² = 1 deriving it from an effective circle partition.
To quickly discover how it was achieved, tap and follow the LEGENDA's flipping page (may not work on mobile devices).
π is indeed 3.14460… and no one will ever be able to deny it!
== LEGENDA ==
In a unit quadrant, you see a ¼ circle inscribed in a ¼ square.
The ratio between the circle and the square can be deduced, for ⅛ of both, from the curvature of one side EB in an arc AB.
We only need to transfer the exact length of AB on EB to be able to measure it straight-line.
HOW TO DO IT, in short 
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With l=AB=⅛ of a circle, an arc cb of radius 1/l will have length =1, so the extension of DE up to f on its tangent makes fb=cb.
The segment fC intersecting EB in e, will ensure eB=l from which Ce²=l²+1.
cb also meets EB in e since the sin(eb) is =l, so as radius of
cb, Ce =1/l extracts l.
1/l= √l²+1
1/l² = l²+1
l²= ½√5 -½
l is PLATINUM
¼ of actual π
FOR A SLICE OF PIE

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Although the various analyses developed in this domain over the past 5 years have led me to the definitive solution - which I will write about again for greater mastering – if you wish to delve deeper into them, pls remind that they were written previously.
My second treatise with every procedural detail has been published and is
downloadable at ZENODO (Powered by CERN)
Minor typos were corrected in the first version, then it was mproved with further analysis in the last edition 7 months later.
All versions are
indexed by OpenAIRE