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MATEMATICAS: 103993 / 33102 = 3.1415926530119026040 (GRAN APROXIMACION DE PI)
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From: BARILOCHENSE6999  (Original message) Sent: 07/09/2015 01:17
 
proportions appear fairly accurate – all having to do with the relative thickness of the basin and the “brim to brim” circumference juxtaposed to the basin’s diameter, assuming it is a perfect circle.

 

Certainly, one could contend that “brim to brim” met the interior only, or was it exterior as well? – So, is it the interior circumference or the exterior circumference; after all, being filled to the brim is from the inside, not from the outside?  Oh, well, trivial considerations here.

Ancient “handbreadths” range from 3” to 3 ½ inches – look it up on Wikipedia.

How’s about the “cubit” – well, just so happens that extensive research has been done by such ardent believers (i.e., a fellow goat-herder) like Sir Isaac Newton who surmised, after somewhat exhaustive investigation, that the biblical (Hebrew) cubit measured 25.02” (improved upon by John Taylor and Sir Flinders Petrie (another goat-herder) – forgive the Wikipedia balderdash relative to their deprecation of Pyramidology – another reason to use Encyclopedia Britannica…you get what you pay for) and is thoroughly discussed in our video series THE PURPOSES OF GOD (a shameless plug here).  Others, including ourselves, have extended that cubit via the fact its “number” is 252 to be 2.1 linear feet or 25.20” (Imperial inches).

That calculation of 25.20” is further substantiated in that there are 360° in which the Earth rotates around the Sun each “day” – therefore, SEVEN such days constitute a week and 7 x 360° = 2520° or, if you would, that’s how we get our “Sacred Cubit” of 25.20” – a measurement used throughout Holy Writ and assiduously preserved by another group of dumb goat herders during the reign of Queen Elizabeth I who came up with the Nautical and Statute Mile and that whole archaic system of ill-repute known as the “Imperial System of Metrology.”  Only we dumb Americans have not discovered how to do Trig with metrics; and, alas, I still think my son is 6’4” - buy my petrol in gallons – and weigh myself in pounds – and drive so many miles to Los Angeles and haven’t seen a km sign in years – how dumb is that?

So, now let’s do our calculations using the measurement of the Sacred Cubit (25:20”) – for, after all, we’re talking about proportional measurements here; therefore, we’re not going to trip over Ivan’s brilliant observation:

Measurements of the Copper/Bronze Basin

Diameter (regardless where polar measurements extend – inside or outside) =

10 Cubits =10 x 25.20” = 252”

Circumference (whether “Golden Elliptical” or “Perfect Circle”) =

30 Cubits = 30 x 25.20” = 756”

Height (or depth)

5 Cubits = 5 x 25.20 = 126”

Now, using these measurements, and before we consider their profundities – for they come under the influence of what we have termed the “Sacred Cubit” of measurement – let’s extrapolate them under π (Pi @ 3.142857 or 22/7) to determine what Ivan’s circumference should have been:

C = 3.142857 x 252” (diameter based on Sacred Cubit) = 791.9982 or 792”

Instantly, we see that 792” does not equal 756” – so, interestingly enough, we are off some 36” or 1 Imperial Yard.  Which is of some interest in that there are 360° in any given circumference/circle; therefore, and oddly enough, we discover that 36” is a “fractal” of 360 or 1/10th of 360.  And, if we use 3” as the ancient measurement for a handbreadth x 2 (sides) = 6”; therefore, 36” – 6” = 30” – so, we have some interesting numbers here:  36” (off of Ivan’s calculation if we use the Sacred Cubit to measure these proportions) and 6” from the 36” giving us 30” – therefore:  36” – 30” – 6” and 756” vs. 792”.

Incidentally, and I don’t mean to embarrass – however, “manipulating π” has become one of my favorite pastimes:

If we approximate (using just the first 10 digits) Pi as 3.1415926530119026040

Using the rational number/fraction:  103993 / 33102 = 3.1415926530119026040 (the first 12 digits which “directly impact” the product omitting the first “1” in that 3 x 1 = 3 – but all additional “1’s” and, of course, zeroes:

1.           3 x 1 = 3 ::: Triune God (3 sets of 72 = 216 The Name of God)

2.           3 x 1 x 4 = 12 ::: The pervasive “number” of the New Jerusalem “12”

3.           3 x 1 x 4 x 1 x 5 = 60 ::: “6” the Creation Day of “man” and 60 seconds in a minute and 60 minutes in an hour.

4.           3 x 1 x 4 x 1 x 5 x 9 = 540  :::  540 = 5040 Plato’s Optimal Number / 2 = 2520 = the Sacred Cubit of 25.20”

5.           3 x 1 x 4 x 1 x 5 x 9 x 2 = 1080  :::  1080 = “18” of the New Jerusalem Standard & Radius of Earth’s Moon in Mi.

6.           3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 = 6480  :::  6480 = “18” of the New Jerusalem Standard or 6 + 4 + 8 = 18

7.           3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 = 32400  :::  32400 x 2 = 64,800 = “18” New Jerusalem Standard

8.           3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3 = 97200  :::  97200 = “18” of the New Jerusalem Standard or 9 + 7 + 2 = 18 

(Please Note:  97200 is the perimeter of the cubed 12 edges of the Great Pyramid of Giza (GPG) at 9,720 Linear Feet in that its base side is 756’ – and, by the way, the elevation of the GPG is 480’ x 12” = 5760” = 5 + 7 + 6 = 18 New Jerusalem Standard of Measurement.  Now, with the first eight “impactful digits” of our 3.1415926530119026040 Pi we will do the next four “impactful digits” which advance the product:

9.           3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3 x 1 x 1 x 9 = 874800 = “27” and “27” is the full revelation of Messiah in the 27 volumes of the Christian Sacred Canon.

10.      3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3 x 1 x 1 x 9 x 2 = 1749600 = “27” (1 + 7 + 4 + 9 + 6 = 27) or the Full Revelation of the Messiah in the 27 Volumes of the Christian Sacred Canon or 1 x 7 x 4 x 9 x 6 =1512 = 2 Sides of the GPG at 1512’ and x 6 = 9072 which is the GPG Cubed (12 edges) to reflect the New Jerusalem; therefore, the 1512 reflects the “18” of the New Jerusalem Standard.

11.  3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3 x 1 x 1 x 9 x 2 x 6 = 10497600 = “27” (1 + 4 + 9 + 7 + 6 = 27) or the Full Revelation of the Messiah in the 27 Volumes of the Christian Sacred Canon or 1 x 4 x 9 x 7 x 6 = 1512 = 2 Sides of the GPG at 1512’ and x 6 = 9072 which is the GPG Cubed (12 edges) to reflect the New Jerusalem; therefore, the 1512 reflects the “18” of the New Jerusalem Standard.

12.      3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3 x 1 x 1 x 9 x 2 x 6 x 4 = 41990400 = “27” (4 + 1 + 9 + 9 + 4 = 27) or the Full Revelation of the Messiah in the 27 Volumes of the Christian Sacred Canon or   1 x 4 x 9 x 7 x 6 = 1512 = 2 Sides of the GPG at 1512’ and x 6 = 9072 which is the GPG Cubed (12 edges) to reflect the New Jerusalem; therefore, the 1512 reflects the “18” of the New Jerusalem Standard.  (Note: The last for number sets have products which when multiplied by themselves as individual digits result in “1512” (consecutively).  “1512” is Gematria in Greek for Apocalypsis; therefore, the closer we come to the Millenarian Rule and Reign of Messiah, the Triune God (3) warns and cautions as to prepare for the “End of Days” – thus, the Great Pyramid of Giza has a most prescient message of Apocalypsis and the dawning of a New Day of World Peace, ruled by the Prince of Peace!

The grand total of all the products in the Pi series of 12 impactful digits (eliminating the “1’s” and, of course, zero) we arrive at:  55,250,175 = 5 + 5 + 2 + 5 + 1 + 7 + 5 = 30 and “30” is the Number of Messiah at the commencement of ministry – also, the age to commence the Levitical Priesthood and Joseph’s Age upon ascendancy to Pharaoh’s right hand and King David’s age upon ascension to the Throne of Israel.   

Thus, our little “π” (Notice my graphic shaped as a little pie) and notice how when using the rational numbers/fraction of 103993 / 33102 (not 22/7 – this 103993/33102 is far more accurate if you want to go overboard) we did get some rare numerations….3.1415926530119026040 as π:



First  Previous  2 to 4 of 4  Next   Last  
Reply  Message 2 of 4 on the subject 
From: BARILOCHENSE6999 Sent: 07/09/2015 01:22
  • Pi Approximations -- from Wolfram MathWorld

    mathworld.wolfram.com/PiApproximations.html
    The first few are given by 3, 22/7, 333/106, 355/113, 103993/33102, 104348/
    33215, ... (OEIS A002485 and A002486), which are good to 0, 2, 4, 6, 9, 9, 9, 10,
    11, ...
  • Prime Curios!: 103993

    primes.utm.edu/curios/page.php/103993.html
     
    103993 is the smallest integer that can be divided by another integer to produce
    a number that matches the first 10 digits of pi . (103993/33102 ...
  • Fractional Approximations of Pi

    qin.laya.com/tech_projects_approxpi.html
    ... [ 8] 103638/ 32989 = 3.14159265209615326320894843735790718118 (
    0.00000000149363997525369494592159570301) [ 8] 103993/ 33102 ...
  • A002486 - OEIS

    https://oeis.org/A002486
    1, 0, 1, 7, 106, 113, 33102, 33215, 66317, 99532, 265381, 364913, 1360120,
    1725033, ... The convergents are 3, 22/7, 333/106, 355/113, 103993/33102, .
  • SOLUTION: HI tutors! I have this problem in my college math book ...

    www.algebra.com/.../decimal-numbers.faq.question.645485.html
    22/7 , 355/113 , 103,993/33,102 , 2,508,429,787/798,458,000. Your calculator
    may tell you that some of these numbers are equal to pi symbol, but that just ...
  • Pi - a cool approximation [Archive] - Actuarial Outpost

    www.actuarialoutpost.com/actuarial_discussion.../t-11907.html
     
    Am I an idiot for not encountering this fact before? 103993/33102 is off in the
    other direction from pi (slightly underestimates). 104348/33215 is ...
  • 計算: [103993/33102] - Calculator - 英漢字典

    cdict.net/?q=103993%2F33102
     
    103993/33102 ≅ 3.14159265301190260407. ... 中文字詞、台灣地址、計算式 按[
    Enter]重新輸入. Calculator (計算機): 103993/33102 ≅,
    3.14159265301190260407.
  • pi = 103993/33102 (Well, almost.) - Supreme Law Firm

    www.supremelaw.org/wwwboard/messages/1403.html
     
    1 Sep 1998 ... pi = 103993/33102 (Well, almost.) [ Follow Ups ] [ Post Followup ] [ Supreme Law
    Firm Discussion Forum ] [ FAQ ]. Posted by Man of Reason on ...
  • The world of Pi - Approximations and strange things

    www.pi314.net/eng/approx.php
    Stoschek's approximation. 3,141104, 3 (3.31). And a few others. 3,141592920, 6
    (6.57). = 3,1415333, 4 (4.23). 103993/33102 (Euler), 3,14159265301, 9 ...
  • 103 993 : 33 102 = 3 y - Numere prime.ro

    www.numere-prime.ro/cum_se_simplifica_fractia.php?...103993...33102...
     
    Como simplificar La fracción: 103 993 / 33 102 = 103 993 / (2 * 3 3 * 613) ya es
    simplificada, el numerador y ... Como se simplifica la fracción: 103993 / 33102?

  • Reply  Message 3 of 4 on the subject 
    From: BARILOCHENSE6999 Sent: 07/09/2015 01:23
  • Pi Approximations -- from Wolfram MathWorld

    mathworld.wolfram.com/PiApproximations.html
    The first few are given by 3, 22/7, 333/106, 355/113, 103993/33102, 104348/
    33215, ... (OEIS A002485 and A002486), which are good to 0, 2, 4, 6, 9, 9, 9, 10,
    11, ...
  • Prime Curios!: 103993

    primes.utm.edu/curios/page.php/103993.html
     
    103993 is the smallest integer that can be divided by another integer to produce
    a number that matches the first 10 digits of pi . (103993/33102 ...
  • Fractional Approximations of Pi

    qin.laya.com/tech_projects_approxpi.html
    ... [ 8] 103638/ 32989 = 3.14159265209615326320894843735790718118 (
    0.00000000149363997525369494592159570301) [ 8] 103993/ 33102 ...
  • A002486 - OEIS

    https://oeis.org/A002486
    1, 0, 1, 7, 106, 113, 33102, 33215, 66317, 99532, 265381, 364913, 1360120,
    1725033, ... The convergents are 3, 22/7, 333/106, 355/113, 103993/33102, .
  • SOLUTION: HI tutors! I have this problem in my college math book ...

    www.algebra.com/.../decimal-numbers.faq.question.645485.html
    22/7 , 355/113 , 103,993/33,102 , 2,508,429,787/798,458,000. Your calculator
    may tell you that some of these numbers are equal to pi symbol, but that just ...
  • Pi - a cool approximation [Archive] - Actuarial Outpost

    www.actuarialoutpost.com/actuarial_discussion.../t-11907.html
     
    Am I an idiot for not encountering this fact before? 103993/33102 is off in the
    other direction from pi (slightly underestimates). 104348/33215 is ...
  • 計算: [103993/33102] - Calculator - 英漢字典

    cdict.net/?q=103993%2F33102
     
    103993/33102 ≅ 3.14159265301190260407. ... 中文字詞、台灣地址、計算式 按[
    Enter]重新輸入. Calculator (計算機): 103993/33102 ≅,
    3.14159265301190260407.
  • pi = 103993/33102 (Well, almost.) - Supreme Law Firm

    www.supremelaw.org/wwwboard/messages/1403.html
     
    1 Sep 1998 ... pi = 103993/33102 (Well, almost.) [ Follow Ups ] [ Post Followup ] [ Supreme Law
    Firm Discussion Forum ] [ FAQ ]. Posted by Man of Reason on ...
  • The world of Pi - Approximations and strange things

    www.pi314.net/eng/approx.php
    Stoschek's approximation. 3,141104, 3 (3.31). And a few others. 3,141592920, 6
    (6.57). = 3,1415333, 4 (4.23). 103993/33102 (Euler), 3,14159265301, 9 ...
  • 103 993 : 33 102 = 3 y - Numere prime.ro

    www.numere-prime.ro/cum_se_simplifica_fractia.php?...103993...33102...
     
    Como simplificar La fracción: 103 993 / 33 102 = 103 993 / (2 * 3 3 * 613) ya es
    simplificada, el numerador y ... Como se simplifica la fracción: 103993 / 33102?

  • Reply  Message 4 of 4 on the subject 
    From: BARILOCHENSE6999 Sent: 07/09/2015 01:27
     
    Continued Fractions A continued fraction is an expression of the form

    $displaystyle a_0 + frac{1}{displaystyle a_1+frac{1}{displaystyle a_2+frac{1}{displaystyle a_3+cdots.}}} $

     

    In this book we will assume that the $ a_i$ are real numbers and $ a_i>0$ for $ igeq 1$ , and the expression may or may not go on indefinitely. More general notions of continued fractions have been extensively studied, but they are beyond the scope of this book. We will be most interested in the case when the $ a_i$ are all integers.

    We denote the continued fraction displayed above by

    $displaystyle [a_0,a_1,a_2,ldots]. $

     

    For example,

    $displaystyle [1,2] = 1+frac{1}{2} = frac{3}{2},$

     

     

    $displaystyle [3, 7, 15, 1, 292 ]$ $displaystyle = 3 + frac{1}{displaystyle 7+ frac{1}{displaystyle 15+frac{1}{displaystyle 1+frac{1}{292}}}}$    
      $displaystyle = frac{103993}{33102}=3.14159265301190260407ldots,$    
     

     

    and

     

    $displaystyle [2, 1, 2, 1, 1, 4, 1, 1, 6]$ $displaystyle = 2 + frac{1}{displaystyle 1 +frac{1}{displaystyle 2 +frac{1... ...}{displaystyle 1 + frac{1}{displaystyle 1 + frac{1}{displaystyle 6}}}}}}}}$    
      $displaystyle = frac{1264}{465}$    
      $displaystyle = 2.7182795698924731182795698ldots$    
     

     

    The second two examples were chosen to foreshadow that continued fractions can be used to obtain good rational approximations to irrational numbers. Note that the first approximates $ pi$ and the second $ e$ .

    Continued fractions have many applications. For example, they provide an algorithmic way to recognize a decimal approximation to a rational number. Continued fractions also suggest a sense in which $ e$ might be ``less complicated' than $ pi$ (see Example 5.2.4 and Section 5.3).

    In Section 5.1 we study continued fractions $ [a_0,a_1,ldots,a_n]$ of finite length and lay the foundations for our later investigations. In Section 5.2 we give the continued fraction procedure, which associates to a real number $ x$ a sequence $ a_0,a_1,ldots$ of integers such that $ x = lim_{n ightarrow infty} [a_0,a_1,ldots,a_n]$ . We also prove that if $ a_0,a_1,ldots$ is any infinite sequence of positive integers, then the sequence $ c_n=[a_0,a_1,ldots,a_n]$ converges; more generally, we prove that if the $ a_n$ are arbitrary positive real numbers and $ sum_{n=0}^{infty} a_n$ diverges then $ (c_n)$ converges. In Section 5.4, we prove that a continued fraction with $ a_iinmathbb{N}$ is (eventually) periodic if and only if its value is a non-rational root of a quadratic polynomial, then discuss open questions concerning continued fractions of roots of irreducible polynomials of degree greater than $ 2$ . We conclude the chapter with applications of continued fractions to recognizing approximations to rational numbers (Section 5.5) and writing integers as sums of two squares (Section 5.6).

    The reader is encouraged to read more about continued fractions in [#!hardywright!#, Ch. X], [#!khintchine!#], [#!burton!#, §13.3], and [#!niven-zuckerman-montgomery!#, Ch. 7].

     


     


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