Now another way of arriving at pi by construction other than laying a chain around the quartercircle measure the length distance then multiply by 4 and finally compare to diameter to arrive at pi. A second method would be a 10 by 10 Grid of 100 smallsquares with circle inscribed. Here we know the square is 100 square units. We figure out approx how many squares in the 4 corners and it is approx 5.375. When we multiply that by 4 we have 21.5 square units, meaning the circle has 78.5 square units.
Now we suppose that area of square of 100 relates to area of circle 78.5 as perimeter of square 4, relates to circumference of circle unknown U?or a chain. So I am certain this is the fastest most accurate way of arriving at 3.1 but is it 3.14, or 3.13 or 3.15.
So we have
100/78.5 :: 4/U
78.5 (4) = 100U
314 = 100U
Hence pi is 3.14.
If this were Ancient Greek times, it would be a toss up as to whether a geometer can have a better grid of 10 by 10 or a chain that can be accurately laid over the quartercircle and the ruler to measure it.
I do not know what pen or pencil tool they had in Ancient Greek times to draw a nice straight line to make a graph grid of 10 by 10.
And then, well, I tried a blade of grass today over the quarter circle and it worked beautifully, where I can snip the one end with my fingernail and it straightens out for length measurement on a graduated ruler. This works far better than a thin wire
As for pure mathematics arriving at pi, the best is square root of 10, for that needs no geometry drawing or pictures at all. Just the simple computation of square root of 10.
I am certain that pi is connected to square root of 10.
So the mystery of pi-- what Old Math called -- transcendental is no longer really a mystery at all, for there are TWO numbers that act like pi, one of which is very much algebraic-- the square root of 10.difference of 0.021... In fact there are many many prefix numbers digits of important physics constants-- especially Magnetic Flux Quantum, and weak mixing angle (although we ignore the Standard Model b.s.), Electron g-factor (really the Dirac magnetic
And why does mathematics require for one number to be in fact TWO numbers? It is because physics has quantum duality, meaning that something is both particle and wave simultaneously. The difference between 3.162... and 3.141... is a miniscule
Why does mathematics need at least One number that is represented by TWO Numbers? It is because of physics duality demands one number of mathematics define the Sigma Error contained within mathematics. Pi as both 3.16... and 3.14... sets the standardfor equality in mathematics as sigma error of 3.16/3.14 = 0.6%. If in physics experiments, the outcome is 0.6% or less you have equality of concepts. If more, then you do not have equality of concepts.
For the layperson in all of this, can be summarized as that geometry needs a sigma error, for a line is of length and no width and no depth. But, that means a contradiction for a line has to have some width some depth to exist. In steps our 0.021factor in that a Line in Geometry has at least a 0.021 factor of width and depth in order to exist.
Kookfight!!!
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