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Sirfiroth wrote:
> 2. I do not believe it is possible to state how the 4th dynasty
> Egyptians would have achieved it because there are no written
> records from the 4th dynasty speculation is o.k., actually
> speculation is all that we have.
That is what I used in the first post.
The AE method of area was subtract 1/9 and make the diameter the side length of a square and find area.
I just added 1/9th to diameter and set it as the diagonal and multiply by the sqrt of 2 inherent in the diagonal then doubled it since two halfs of square.
The two main lines in a square are the side and diagonal.
They subtracted 1/9th so I decided to add 1/9th.
Circumference is what it got me.
Ex. diameter of 9(papyrus ex.).
9 - 1/9 = 8
8 * 8 = 64 area
Actual = 63.617.......
9 + 1/9 = 10
10 * sqrt2 * 2= 28.28427...
Actual = 28.27433...
So diameter as side = area
diameter as diagonal = circumference.
Not claiming they used it but jsut that I used what they used and expanded to the next logical thing to attempt for both the square and circle in the relationship the AE created in their maths.
regards,
Lobo-hotei
lobo
> 2. I do not believe it is possible to state how the 4th dynasty
> Egyptians would have achieved it because there are no written
> records from the 4th dynasty speculation is o.k., actually
> speculation is all that we have.
That is what I used in the first post.
The AE method of area was subtract 1/9 and make the diameter the side length of a square and find area.
I just added 1/9th to diameter and set it as the diagonal and multiply by the sqrt of 2 inherent in the diagonal then doubled it since two halfs of square.
The two main lines in a square are the side and diagonal.
They subtracted 1/9th so I decided to add 1/9th.
Circumference is what it got me.
Ex. diameter of 9(papyrus ex.).
9 - 1/9 = 8
8 * 8 = 64 area
Actual = 63.617.......
9 + 1/9 = 10
10 * sqrt2 * 2= 28.28427...
Actual = 28.27433...
So diameter as side = area
diameter as diagonal = circumference.
Not claiming they used it but jsut that I used what they used and expanded to the next logical thing to attempt for both the square and circle in the relationship the AE created in their maths.
regards,
Lobo-hotei
lobo
Subject | Views | Written By | Posted |
---|---|---|---|
No pi challenge | 140 | Sirfiroth | 07-Feb-11 02:09 |
Re: No pi challenge | 76 | Ahatmose | 07-Feb-11 02:27 |
Re: No pi challenge | 51 | Sirfiroth | 07-Feb-11 02:51 |
Re: No pi challenge | 87 | lobo-hotei | 07-Feb-11 04:29 |
Re: No pi challenge | 88 | Sirfiroth | 07-Feb-11 15:56 |
Re: No pi challenge | 92 | Spiros | 07-Feb-11 14:48 |
Re: No pi challenge | 84 | Sirfiroth | 07-Feb-11 18:18 |
Re: No pi challenge | 101 | lobo-hotei | 07-Feb-11 18:30 |
Re: No pi challenge | 92 | MJT | 07-Feb-11 20:11 |
Re: No pi challenge | 86 | MJT | 07-Feb-11 16:07 |
Re: No pi challenge | 87 | Sirfiroth | 07-Feb-11 18:31 |
Re: No pi challenge | 103 | lobo-hotei | 08-Feb-11 14:44 |
Re: No pi challenge | 69 | Sirfiroth | 09-Feb-11 00:52 |
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