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  1. #1
    4th degree Black Belt humanbydefault is on a distinguished road
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    “Ancients knew better!”

    “Ancients knew better!”

    “The earliest evidenced conscious use of an accurate approximation for the length of a circumference with respect to its radius is of 3 + 1/7 in the designs of the Old Kingdom pyramids in Egypt. The Great Pyramid at Giza, constructed c.2550-2500 BC, was built with a perimeter of 1760 cubits and a height of 280 cubits; the ratio 1760/280 ≈ 2π. Egyptologists such as Professors Flinders Petrie and I.E.S Edwards have shown that these circular proportions were deliberately chosen for symbolic reasons by the Old Kingdom scribes and architects. The same apotropaic proportions were used earlier at the Pyramid of Medium c.2600 BC. This application is archaeologically evidenced, whereas textual evidence does not survive from this early period.
    The early history of π from textual sources roughly parallels the development of mathematics as a whole. Some authors divide progress into three periods: the ancient period during which π was studied geometrically, the classical era following the development of calculus in Europe around the 17th century, and the age of digital computers” (End of quote from Wikipedia)

    Apotropaic...? Are you talking about magic?
    You’ve got to be kidding me! Those guys knew the hidden truth about “Pi” longer before our great-great-great-great-great parents were even born... Speaking about ignorance.
    Let’s see the FACTS:
    1760/280 = 6. 285 714 (2...) “My Lucky Trios”, still remember them?
    I’m going to show you for the first time how “Mirror Analysis” actually WORKS and I’m going to use precisely those two “Trios” to prove it!
    But first... Do you have a clue where those “Trios” came from in the first place? Well... from 1/7!
    1/7 = 0. 142 857 (!)
    The next mathematical demonstration will show a progressive multiplication of 142 857by number 2.
    Oh! One small detail before we begin... Since you already know the “Image-Object” relationship and conversion procedure used in my Theory “Physimatics” I believe it is an understatement to repeat that 7 is the “image” of 2. I could have written 142857 and it still keeps its “mirror value” couldn’t I?
    Let’s do it, shall we?
    142857 x 2 = 285 714
    285 714 x 2 = 5 714 28
    5 714 28 x 2 = 114 285 6 = [1 + 1] 4 6 = 246 = 741 or 241
    114 285 6 x 2 = 2 285 712 = [2] 7 1 [2] = 714
    2 285 712 x 2 = 45 714 24 = [4] 5 2 [4] = 852 or 857
    With the conclusion of five cycles ‘Perturbation’ comes into the equation introducing a beautiful symmetrical progression just as we saw earlier with “Pi”:
    45 714 24 x 2 = 9 1428 48 = [5]28 [948] = [98] = [4 + 3] 4 = 74 (-1)
    Why? Simple! We had to convert [98] two “images” into “objects” and that conversion represented [-5] + [-5] = [-10] = [-1]!
    9 1428 48 x 2 = 18 285 696 = [1] [866] [9] = 1 [3 + 1 + 1] [4] = 154
    Again! How many conversions? Four! (8669) they add up ‘Perturbation’ = [-2]! Right? Make the count... 1 [5 + 2] 4 = 174
    Pause! This is why most of you didn’t see my point earlier... Just think about it for a second, will you guys? It is because the steady “born” of new “images” during any mathematical process performed with numbers -that in order to keep symmetry intact- Reality had to resort to the only “tool” available ‘at hand’ and that is Ladies and Gentlemen: Perturbation!
    It happens with numbers because it happens with the whole Reality around us.
    Let’s continue then:
    18 285 696 x 2 = 36571392= [31] [0] [2] [1] 342 = 142 342
    36571392 x 2 = 73 142 784 = [10] 142 784 or 342
    73 142 784 x 2 = 1. 462 8556...
    Where 1. 462 8556 = 142 8 [5] [66] = 852
    So far I have shown you the “image-object” progression of numbers within a simple mathematical operation. Since I used a KEY decimal believed by ancients to hold the secrets of “Pi” I will make the most remarkable conclusion with what we have obtained:
    Let’s see √2:
    1. 41421 35623 >< 462 8556
    [4] [42] [11] [62] [5] [33] = [4] [4 + 2] [1 + 1] [6 + 2] [5] [3 + 3]
    462 8556 = 462 8556!!!!!!!!!
    Let’s see “pi”...
    3.141592 6535
    Let’s simplified the first 14159 = [4] [15] [19] = [4] [1 + 5] [10]
    [4] [6] [2] = 462 including the 2 in green.
    Left are 6535 = 8556 since 8 is the “image” of 3!
    462 8556 = 462 8556!!!!!!!!!






    "Before God we are all equality wise - and equally foolish" (Albert Einstein)

  2. #2
    4th degree Black Belt humanbydefault is on a distinguished road
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    Re: “Ancients knew better!”

    Zu Chongzhi’s ‘Pi’ value was great but greatly misunderstood even today


    For many purposes, 3.14 or 22/7 is close enough, although engineers often use 3.1416 (5 significant figures) or 3.14159 (6 significant figures) for more precision. The approximations 22/7 and 355/113, with 3 and 7 significant figures respectively, are obtained from the simple continued fraction expansion of π. The approximation 355/13 (3.1415929...) is the best one that may be expressed with a three-digit or four-digit (...) Around 480, the Chinese mathematician Zu Chongzhi demonstrated that π ≈ 355/113, and showed that 3.1415926 < π < 3.1415927 using Liu Hui's algorithm applied to a 12288-gon. This value would remain the most accurate approximation of π available for the next 900 years. (End of quote from Wikipedia)

    Let’s bring back “Pi” one more time:

    3.14159265358979323846 >< 26433832795028841971

    355/113 = 3. 14159 29

    Before I demonstrate to you with nothing but numbers that Zu was right on the “money” I must comment on the ‘commentator’ and author of this article…Most probably a Mathematician:

    Have you noted what was actually published about Zu’s work to justify how close he was to find out “Pi’s” actual value?

    Watch it! “3.1415926 < π < 3.1415927”

    So typical! The “Chinese Guy” had to come up with exactly the same numerical configuration we have obtained from computers otherwise he was mistaken... Is this was not a classic mix of arrogance and ignorance, I can’t find anything closer to it.

    Let’s see the facts:

    3.1415926535 This is 2010’s “Pi” (Well... a short version of almost a million digits long...)

    3. 14159 29… And this is a 900 years-old calculation.

    Let’s cut it right where the problem arises…

    6535

    9

    See it? [6] [5] [3] [5] You take [5] + [5] = 10! It is one complete cycle that carries (implies) the net value of “0” (null, nothing, zip!)

    [6 + 3] = 9! Green perhaps...? 9!

    This is my problem with our modern interpretation of our own numbers. Did Egyptians know the cyclical nature of them? I know just by looking the way Mayas represented theirs that they did.

    Could we think of some sort of ‘connection’ between all those ancient civilizations in the past? The thought has occurred to many experts in the field of Archeology and Egyptology. None of them are part of my arguments however I do have a point:

    Zu’s numbers were as correct back then as wrong and arrogant we stand for the past 900 years...

    God bless you.

    Miguel De Zayas _ Author of “Physimatics”
    "Before God we are all equality wise - and equally foolish" (Albert Einstein)

  3. #3
    4th degree Black Belt humanbydefault is on a distinguished road
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    Re: “Ancients knew better!”

    “How could you explain this?”



    I will demonstrate that the ratio = 137 is embedded in the correspondence between those two colored branches linking the square root of 2 with Pi.



    “Square Root of 2”



    1 .41421 35623 73095 04880 >< 16887 24209 69807 85696



    “Pi”



    3.14159 26535 89793 23846 >< 26433 83279 50288 41971



    41421 >< 41971 [411] [42] >< [411] [97] = 10!

    35623 >< 50288 [5] [62] [33] >< [52] [88] = 10!

    73095 >< 83279 [739] [05] >< [739] [82]

    04880 >< 26433 [4] [88] >< [4] [62] [33] = 10!


    The difference is 30 (3 complete cycles) due to the ratio “image-object”:


    Analysis

    [42] = [97] since 9 is the ‘image’ of 4 and 7 the ‘image’ of 2 = 10!

    [33] = [88] since 8 is the 9 ‘image’ of 3 = 10!

    [05] >< [10] = Half-cycle (sign change) but no numerical difference since 10 and 5 are

    equal to “0” in mathematical value.

    [88] = [33] = 10! by the same reason 'image-object'


    Calculations



    Let’s add up 41421 35623 73095 04880

    4 + 1 + 4 + 2 + 1 + 3 + 5 + 6 + 2 + 3 + 7 + 3 + 0 + 9 + 5 + 0 + 4 + 8 + 8 + 0 = 75!

    Now let’s add up 26433 83279 50288 41971

    2 + 6 + 4 + 3 + 3 + 8 + 3 + 2 + 7 + 9 + 5 + 0 + 2 + 8 + 8 + 4 + 1 + 9 + 7 + 1 = 92!

    Now let’s add up 75 + 92 = 167!

    But 167 – 30 = 137!!!

    Why -30? Because 30 was the net value of the difference between both branches due to the ‘image-object effect’.

    Nothing was added and nothing was left out from those ‘links’ as you can see for yourselves they’ve been taken as they originally appeared in Wikipedia.

    Do you have an intelligent guess as to why was precisely 137 the result of adding up both “wings” after properly subtracting the net difference of 30?
    "Before God we are all equality wise - and equally foolish" (Albert Einstein)


 

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