Mysteries :  The Official GrahamHancock.com forums
For serious discussion of the controversies, approaches and enigmas surrounding the origins and development of the human species and of human civilization. (NB: for more ‘out there’ posts we point you in the direction of the ‘Paranormal & Supernatural’ Message Board). 
Welcome! Log InRegister
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.

Your number as diameter 284.00625

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

Options: ReplyQuote


Subject Views Written By Posted
David Kenworthy Cracking the Megalithic Code 5377 molder 27-Sep-17 17:03
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
Stonehenge, Brodgar Ring and Thom 630 DavidK 22-Jan-18 13:32
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
Re: David Kenworthy Cracking the Megalithic Code 768 DavidK 03-Jan-18 23:58
Re: David Kenworthy Cracking the Megalithic Code 624 DavidK 05-Jan-18 18:27
Re: David Kenworthy Cracking the Megalithic Code 654 DavidK 05-Jan-18 20:55
Re: Michell's Canon of Ancient Measure 535 DavidK 05-Jan-18 23:48
Re: Michell's Canon of Ancient Measure 524 molder 06-Jan-18 01:18
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
Eclipse Measurements on Salisbury Plain. 620 DavidK 08-Jan-18 22:07
Re: David Kenworthy Cracking the Megalithic Code 511 DavidK 19-Jan-18 12:47
Extracts from another website 545 DavidK 19-Jan-18 13:31
Re: Extracts from another website 486 DavidK 22-Jan-18 20:31
Re: Duplication of the cube 507 molder 22-Jan-18 23:24
Re: Extracts from another website 562 Dr. Troglodyte 22-Jan-18 23:25
Re: Extracts from another website 572 DavidK 23-Jan-18 10:41
Re: Extracts from another website 504 molder 23-Jan-18 12:10
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
Re: The Saros 594 molder 28-Jan-18 23:13
Re: The Saros 535 DavidK 29-Jan-18 12:25
Re: David Kenworthy Cracking the Megalithic Code 532 rodz111 29-Jan-18 16:38
Re: David Kenworthy Cracking the Megalithic Code 516 DavidK 29-Jan-18 17:07
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
Re: David Kenworthy Cracking the Megalithic Code 502 DavidK 30-Jan-18 10:06
One last shot 522 DavidK 30-Jan-18 13:40
Re: David Kenworthy Cracking the Megalithic Code 636 rodz111 30-Jan-18 18:11
Whay lies between SH and the GP? 495 DavidK 31-Jan-18 07:00
The Megalithic and Saxon Yard Relationship 537 DavidK 31-Jan-18 10:02
Re: The Megalithic and Saxon Yard Relationship 436 DavidK 31-Jan-18 21:12
Re: The Megalithic and Saxon Yard Relationship 457 cloister 31-Jan-18 21:28
Re: The Megalithic and Saxon Yard Relationship 483 DavidK 01-Feb-18 08:49
Re: The Megalithic and Saxon Yard Relationship 518 cloister 01-Feb-18 09:39
Re: The Megalithic and Saxon Yard Relationship 617 DavidK 01-Feb-18 10:05
Re: The Megalithic and Saxon Yard Relationship 477 cloister 01-Feb-18 12:01
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
The New SH GP calculator 505 DavidK 02-Feb-18 10:04
The Basic Model 499 DavidK 02-Feb-18 10:40
For Horatech 518 DavidK 02-Feb-18 10:50
Re: The New SH GP calculator 568 molder 03-Feb-18 04:16
Re: The New SH GP calculator 551 DavidK 03-Feb-18 23:28
putting 56 back into the GP using the sekhed 500 DavidK 04-Feb-18 10:37
Re: putting 90720 back into the GP 514 DavidK 04-Feb-18 10:44
Re: putting 90720 back into the GP 614 rodz111 04-Feb-18 13:30
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
evidence for use of base 100 at SH and GP 520 DavidK 07-Feb-18 10:49
why 2.7207 feet per Hugh Franklin? 493 DavidK 07-Feb-18 12:37
Re: why 2.7207 feet per Hugh Franklin? 619 DavidK 07-Feb-18 15:29
Standard cubit 19.8 inches 670 DavidK 08-Mar-18 09:16
The Stonehenge Cubit 20.4 inches 651 DavidK 22-Mar-18 10:03
Re: The Stonehenge Cubit 20.4 inches 609 Manu 31-Mar-18 17:21
Re: The Stonehenge Cubit 20.4 inches 603 DavidK 06-Apr-18 22:26
the Giza Template 594 DavidK 30-Mar-18 05:12
Re: the Giza Template 547 DavidK 14-Oct-18 21:57
Re: David Kenworthy Cracking the Megalithic Code 502 DavidK 12-Oct-18 21:21
Re: David Kenworthy Cracking the Megalithic Code 338 DavidK 16-Mar-19 23:50
Re: David Kenworthy Cracking the Megalithic Code 330 rodz111 17-Mar-19 14:54
Giza Great Pyramid design Proposal 381 DavidK 17-Mar-19 10:38
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 338 DavidK 26-Mar-19 15:07
Re: Giza Great Pyramid design Proposal the royal cubit 20.625 imperial inches 368 DavidK 04-Apr-19 13:17
Finding the ancient metre in the GP base 39.375 inches 320 DavidK 08-Apr-19 14:22
Re: Giza Great Pyramid design Proposal the royal cubit 20.736 imperial inches 144 DavidK 22-Dec-19 18:09
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
Re: David Kenworthy Cracking the Megalithic Code 170 molder 23-Dec-19 10:38
Re: David Kenworthy Cracking the Megalithic Code 161 magisterchessmutt 23-Dec-19 12:25
Re: David Kenworthy Cracking the Megalithic Code 121 DavidK 13-Jan-20 15:51
Re: David Kenworthy Cracking the Megalithic Code 162 DavidK 15-Jan-20 22:12


Sorry, only registered users may post in this forum.