Alpha ( α )
Fine-structure constant- α and constant- e obtained through interesting geometry and numbers:
Everything is easily duplicated, and as shown in the diagram below begins with two measurements
and several guide lines to establish the blue inside perimeter of a box shape √5 by 5 + √5.
To find the outside perimeter for the box requires a yellow line length of √5.
It establishes the intersection with the vertical purple line representing measurement e 2.718...,
after which the outside perimeter of the box can be completed.
To verify the following results for accuracy use a good drawing program capable of maximum digits.
The next drawing (not drawn to scale) focussus on the yellow line.
When subtracting and measuring these sorts of numbers from and against √π,
(as long as they are less than √π) the difference between the subtracting and
measuring results will always be this number (I name it "G" for now):
((√π / (√5 + 2))) / (1 x 10⁷) + (((√π / (√5 + 2))) / (1 x 10⁷) x .0002)
In other words √π minus √e minus G equals the measured result.
However, when measurements go beyond √π then G must be added
to the subtracted results.
For example, (Φ + 2) / 2 minus √π plus G equals the measured result.
(AB1 = subtracted result and AB2 = measured result)
Section BC is easy, but an accurate AB is necessary to get an accurate yellow line measurement.
The following formula provides this, as well as the fine-structure constant- α
The fine-structure constant scientifically measured has a value of .007297352569
which thus far matches my result!
Time will tell. And interestingly √12321= 111
I have come to realize that measurements and ratios occurring in geometric drawings,
show that there is one arithmetical number that is prominent, and that number is 5.
In Biblical scripture the number 5 symbolizes "Grace".