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Is Pi = to 22/7 ?

Started by astr0144, May 23, 2015, 11:42:26 PM

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astr0144

I am curious if the Mathematically inclined members were aware of this !...

I am not sure why but I seem to recall being told that Pi was is from a mathematical constant, the ratio of a circle's circumference to its diameter,  ... or it could also be calculated  from 22/7  .... which would give approx 3.143 to say 3 decimal places.

But upon checking it on the internet , I find this is not the case.

It shows Pi  as being 3.14159 to 5 decimal places.

http://en.wikipedia.org/wiki/Pi

Am I the only one to have thought this I wonder ?

http://en.wikipedia.org/wiki/Proof_that_22/7_exceeds_%CF%80

ArMaP

Quote from: astr0144 on May 23, 2015, 11:42:26 PM
I am not sure why but I seem to recall being told that Pi was is from a mathematical constant, the ratio of a circle's circumference to its diameter,  ...
That's the definition of Pi, the circumference of a circle divided by its diameter.

Quoteor it could also be calculated  from 22/7  .... which would give approx 3.143 to say 3 decimal places.
No, the first times I heard about Pi it was presented to me as 3.1416.

astr0144

Thanks for your Confirmation ArMaP.

Out of curiosity ...Was it ever later presented or  was you ever aware of it being suggested to you as 22/7 ?


QuoteNo, the first times I heard about Pi it was presented to me as 3.1416.

zorgon

PI =  Perimeter of base of the Great Pyramid divided by it's height

8)

ArMaP

Quote from: astr0144 on May 24, 2015, 06:58:06 AM
Out of curiosity ...Was it ever later presented or  was you ever aware of it being suggested to you as 22/7 ?
No.

ArMaP

Quote from: zorgon on May 24, 2015, 08:22:28 AM
PI =  Perimeter of base of the Great Pyramid divided by it's height

8)
What values do you use to get that result?

Pimander

22/7 is an approximation of Pi but it is not exact.  3.14159 but it is an irrational number and can not be represented decimally exactly.  An irrational number goes on forever after the decimal point.

astr0144


I had not been aware "Z" that the Egyptians had used Pi in relation with the Pyramid...Maybe its on the links I posted but I did not take note as yet   :-\

I think I always thought of Pi being associated with Circles..rather than triangles or squares..although I have seen geometry with triangles and squares both within and outside circles..Maybe this is how they related to it...

"Z"
QuotePI =  Perimeter of base of the Great Pyramid divided by it's height


"ArMaP"
QuoteNo.

Thanks for confirming Pimander , that I was not the only one who had related to Pi maybe as 22/7 even if just as an approximation.

Coincidentally its also the first two letters in your name.. :)

"Pimander"
Quote22/7 is an approximation of Pi but it is not exact.  3.14159 but it is an irrational number and can not be represented decimally exactly.  An irrational number goes on forever after the decimal point.

ArMaP

Quote from: astr0144 on May 25, 2015, 12:10:10 PM
Coincidentally its also the first two letters in your name.. :)
It's also the first two letters of my real last name (and the reason for the "P" in ArMaP).  :)

Pimander

Quote from: astr0144 on May 25, 2015, 12:10:10 PM
Coincidentally its also the first two letters in your name.. :)

"Pimander"
Coincidence?  ::)


http://en.wikipedia.org/wiki/Megalithic_architectural_elements

What is Stonehenge? ;)

zorgon

Quote from: astr0144 on May 25, 2015, 12:10:10 PM
I had not been aware "Z" that the Egyptians had used Pi in relation with the Pyramid...Maybe its on the links I posted but I did not take note as yet   :-\

I think I always thought of Pi being associated with Circles..rather than triangles or squares..although I have seen geometry with triangles and squares both within and outside circles..Maybe this is how they related to it...

Sacred Geometry "Squaring of the Circle" It's an Illuminati thing :P

The Golden Ratio & Squaring the Circle in the Great Pyramid

Dartmouth University Math Program Sacred Geometry

"Twenty years were spent in erecting the pyramid itself: of this, which is square, each face is eight plethra, and the height is the same; it is composed of polished stones, and jointed with the greatest exactness; none of the stones are less than thirty feet." -Heroditus, Chap. II, para. 124.


Slide 2-1: The Giza Pyramids and Sphinx as depicted in 1610, showing European travelers Tompkins, Peter. Secrets of the Great Pyramid. NY: Harper, 1971. p. 22


Now we'll look at his other claim, that the Great Pyramid's dimensions also show squaring of the circle. But just what is that?

The problem of squaring the circle is one of constructing, using only compass and straightedge;

(a) a square whose perimeter is exactly equal to the perimeter of a given circle, or

(b) a square whose area is exactly equal to the area of a given circle.

There were many attempts to square the circle over the centuries, and many approximate solutions, some of which we'll cover. However it was proved in the nineteenth century that an exact solution was impossible.


See the math on the site (it won't paste here) The result?

...an agreement with in 0.1%

Pretty good for copper chisels and wooden mallets :P

https://www.dartmouth.edu/~matc/math5.geometry/unit2/unit2.html#Squaring the Circle

zorgon

PI AND THE GREAT PYRAMID

QuoteThese considerations suggest that the famous relationship between &pi and the Great Pyramid of Khufu is a coincidence which has its roots in two facts - one purely mathematical and the other historical, but both involving the number 7:

1.  The rational number 22/7 happens to be an excellent approximation to the number pi.

2.  The Egyptian measurement system involves dividing one unit of measurement(the cubit) into 7 equal units (palms)

Concerning the first fact, it is actually somewhat remarkable that an irrational number such as &pi can be approximated so well by a rational number with a small denominator. (The denominator is 7 in this case.) Concerning the second fact, the reason why Egyptians chose to divide a cubit into 7 parts might be quite hard to trace. It would seem to go back long before the construction of the Great Pyramid, at least to the time of Imhotep.

Washington University
https://www.math.washington.edu/~greenber/PiPyr.html


Pimander

#12
Pi====Pimander. :P

ETA:  Stonehenge is a circle of course.

zorgon


ArMaP

Quote from: zorgon on May 25, 2015, 06:56:04 PM
Pretty good for copper chisels and wooden mallets :P
You don't need chisels and mallets to do geometry, only a compass and a straightedge. :)

Quotehttps://www.dartmouth.edu/~matc/math5.geometry/unit2/unit2.html#Squaring the Circle
Thanks to that link I now understand where you got your (wrong) "PI =  Perimeter of base of the Great Pyramid divided by it's height". :)