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Hi David

That solution is refering to the ancient problem of squaring the circle and refers to a square with an area equal to that of the circle.

The solution given " If we take this solution as a general formula, then in modern notation we obtain the “formula” for the area A of a circle of diameter d as: A = d−d 9 2 = 64 81 d2. From this we deduce (since A = π d2/4) that the ancient Egyptians implicitly used the value π = 256/81 = (4/3)4 = 3.160493827..."

However there are 2 questions in this problem. 1. to find a square equal in area to that of the circle and 2. to find a square with perimeter equal to the circumference. Many think 1 square solves both questions however not so.

By the way it's not possible to do this with the exact value for pi and Rind 50 is using 3.1604.

I first published one solution on this in 1995.

For example your number 897.6 has a diameter of 284.00625 using the Egyptian value for pi.

If you wanted to 'square the circle' using the Egyptian value for pi 3.1604 then simply do this.

Take the number 897.6 make the diameter of a circle 284.00625 then divide it by construction into 9 even spaces / 9 = 31.55625 then measure to the 8th space.

31.55625 x 8 = 252.45 this then is the side of a square the area of which equals that of the circle using the Egyptian value for pi 3.1604 63731.00251 square feet

The diameter / 2 and squared and multiplied by 3.1604 or 284.00625 / 2 = 142.003125

142.003125 squared = 20,164.88751 x 3.160493827 = 63731.00251 same number arrived at by simply dividing by 9 and multiplying by 8 then squaring.

The next problem is to find a square equal in perimeter to that of the circles circumference.

Begin where we left off and repeat process 252.45 / 9 = 28.05 x 8 = 224.4 this then is the side of a square the perimeter of which equals that of the circle. 224.4 x 4 = 897.6 or 284.00625 x 3.16049... = 897.6

The Egyptians were indeed squaring a circle and interesting how your number 897.6 worked out so neatly with diameter 284.00625. Hope I havnt made a mistake.

Jim

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Re: David Kenworthy Cracking the Megalithic Code 1409 molder 03-Oct-17 20:54
Re: David Kenworthy Cracking the Megalithic Code 1021 DavidK 22-Dec-17 23:40
Re: David Kenworthy Cracking the Megalithic Code 875 magisterchessmutt 25-Dec-17 16:52
Re: David Kenworthy Cracking the Megalithic Code 658 magisterchessmutt 25-Dec-17 17:20
Re: David Kenworthy Cracking the Megalithic Code 687 DavidK 27-Dec-17 16:42
Re: David Kenworthy Cracking the Megalithic Code 663 magisterchessmutt 28-Dec-17 02:37
Re: David Kenworthy Cracking the Megalithic Code 690 magisterchessmutt 28-Dec-17 05:35
Re: David Kenworthy Cracking the Megalithic Code 710 DavidK 28-Dec-17 14:21
Re: David Kenworthy Cracking the Megalithic Code 591 DavidK 19-Jan-18 13:05
Re: David Kenworthy Cracking the Megalithic Code 623 molder 19-Jan-18 22:57
Re: David Kenworthy Cracking the Megalithic Code 564 DavidK 21-Jan-18 22:27
Re: David Kenworthy Cracking the Megalithic Code 638 molder 22-Jan-18 00:13
Re: David Kenworthy Cracking the Megalithic Code 561 DavidK 22-Jan-18 09:55
Re: David Kenworthy Cracking the Megalithic Code 485 cloister 22-Jan-18 11:01
Re: David Kenworthy Cracking the Megalithic Code 490 DavidK 22-Jan-18 12:30
Re: David Kenworthy Cracking the Megalithic Code 470 cloister 22-Jan-18 12:40
Re: David Kenworthy Cracking the Megalithic Code 509 DavidK 22-Jan-18 13:15
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Re: David Kenworthy Cracking the Megalithic Code 507 cloister 22-Jan-18 16:34
Re: David Kenworthy Cracking the Megalithic Code 494 DavidK 17-Mar-18 17:24
Re: David Kenworthy Cracking the Megalithic Code 558 DavidK 17-Mar-18 17:30
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Re: Michell's Canon of Ancient Measure 609 DavidK 06-Jan-18 09:51
Re: Michell's Canon of Ancient Measure 737 magisterchessmutt 06-Jan-18 11:56
Re: Michell's Canon of Ancient Measure 605 DavidK 07-Jan-18 11:14
Re: Michell's Canon of Ancient Measure 640 DavidK 10-Jan-18 14:23
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Re: David Kenworthy Cracking the Megalithic Code 511 DavidK 19-Jan-18 12:47
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Re: Extracts from another website 486 DavidK 22-Jan-18 20:31
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Re: Extracts from another website 572 DavidK 23-Jan-18 10:41
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Re: Extracts from another website 534 cloister 23-Jan-18 14:05
Re: Extracts from another website 567 molder 23-Jan-18 21:52
Re: Extracts from another website 540 DavidK 24-Jan-18 09:59
Re: Extracts from another website 465 molder 24-Jan-18 11:39
Re: Extracts from another website 518 rodz111 24-Jan-18 18:59
Re: Extracts from another website 491 DavidK 24-Jan-18 21:12
Re: David Kenworthy Cracking the Megalithic Code 536 DavidK 24-Jan-18 12:03
Re: David Kenworthy Cracking the Megalithic Code 492 DavidK 25-Jan-18 07:06
Re: David Kenworthy Cracking the Megalithic Code 471 molder 25-Jan-18 12:19
Re: David Kenworthy Cracking the Megalithic Code 486 molder 25-Jan-18 12:36
Re: David Kenworthy Cracking the Megalithic Code 530 DavidK 25-Jan-18 13:50
Re: David Kenworthy Cracking the Megalithic Code 470 DavidK 25-Jan-18 13:43
Re: David Kenworthy Cracking the Megalithic Code 533 DavidK 25-Jan-18 09:41
Re: David Kenworthy Cracking the Megalithic Code 479 DavidK 27-Jan-18 12:17
Re: David Kenworthy Cracking the Megalithic Code 633 rodz111 28-Jan-18 09:54
Re: David Kenworthy Cracking the Megalithic Code 479 DavidK 28-Jan-18 20:49
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Re: David Kenworthy Cracking the Megalithic Code 532 rodz111 29-Jan-18 16:38
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Re: David Kenworthy Cracking the Megalithic Code 522 rodz111 29-Jan-18 18:04
Re: David Kenworthy Cracking the Megalithic Code 499 molder 30-Jan-18 06:05
Re: David Kenworthy Cracking the Megalithic Code 514 rodz111 31-Jan-18 21:24
Re: David Kenworthy Cracking the Megalithic Code 491 molder 29-Jan-18 22:32
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Re: The Megalithic and Saxon Yard Relationship 477 DavidK 01-Feb-18 14:44
Re: The Megalithic and Saxon Yard Relationship 502 cloister 01-Feb-18 20:23
Re: David Kenworthy Cracking the Megalithic Code 565 DavidK 29-Jan-18 19:39
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Re: The New SH GP calculator 568 molder 03-Feb-18 04:16
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Re: putting 90720 back into the GP 523 DavidK 06-Feb-18 15:41
Re: putting 90720 back into the GP 689 rodz111 06-Feb-18 18:13
Re: putting 90720 back into the GP 599 DavidK 06-Feb-18 22:24
Re: David Kenworthy Cracking the Megalithic Code 482 DavidK 06-Feb-18 15:56
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Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 124 molder 23-Dec-19 10:47
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 114 DavidK 23-Dec-19 11:42
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 172 magisterchessmutt 23-Dec-19 12:48
Re: David Kenworthy Cracking the Megalithic Code 295 DavidK 25-Apr-19 21:52
Re: David Kenworthy Cracking the Megalithic Code 306 DavidK 21-May-19 23:59
Re: David Kenworthy Cracking the Megalithic Code 182 magisterchessmutt 22-Dec-19 22:24
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Re: David Kenworthy Cracking the Megalithic Code 121 DavidK 13-Jan-20 15:51
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