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Sirfiroth Wrote:
-------------------------------------------------------
> Hi Dr. Troglodyte,
>
> Pardon the long answer and thanks for the food for
> thought question!
>
> It would seem we are all still wanting the Ancient
> Egyptians to conform to our methods? Is there in
> the written records of the Ancient Egyptians
> mention of any irrational numbers? :-) Perhaps if
> we better understood the Ancient Egyptian mindset
> we would know for sure. We know the 5 1/2 seked is
> similar to the square root of phi, originally
> written: ((12 pi) / 61~~0, 1, 1/2, 2/3, 3/5, 5/8,
> 8/13, 13/21, 21/34, 34/55, 55/89 etc,.......a
> simple continued fraction convergent sequence
> known as the Fibonacci series) How would you
> calculate the square root of the above series in
> unit fractions? Fibonacci series in Egyptian
> Fractions 0, 1, 1/2, 2/3, (1/2 + 1/10), (1/2 +
> 1/8), (1/2 + 1/9 + 1/234), ( 1/2 + 1/9 + 1/126),
> (1/2 + 1/9 + 1/153), (1/2 + 1/10 + 1/55) there is
> a whole lot we don't understand and we are trying
> to comprehend their system with ours, instead of
> exploring their system.
> There is always the possibility the ancient
> employed phi in the form of a rational number like
> 1 + 1/2 + 1/9 + 1/121 + 1/2178 = 196/121 = 14/11^2
> but in irrational coronation, unless you know
> something I don't, not a chance. Now correct me if
> I am wrong but isn't phi as we use it actually an
> arbitrary and irrational number. Of course by our
> standards this means the Ancient Egyptians settled
> for a series of near misses. But then again we
> don't know their mindset, plus they were not aware
> of our mathematical standards, were they? There is
> always that possibility, but probably is based on
> all available evidence other than speculation?
>
> Some additional information regarding my previous
> post referencing problem #50 Rhind Mathematical
> Papyrus demonstrates A = (d * 8/9)^2, in problem
> 50 with a diameter is 9 working through the
> problem is as follows problem #50: the area of
> a circle =
> (9*(8/9))^2 = (9*8)^2 / 9^2 = 72^2 / 9^2 = 5184/81
> = 64
this A = (d * 8/9) formula was and was
> used in all other geometric problems relating to
> circles. Even problem 10 of the Moscow
> Mathematical Papyrus used the same 8/9 formula for
> deriving the surface area of a hemisphere
> (basket). Even the lowly (8/9) divided by (2/3) =
> 4/3 equals the rise-run of G2's 5 1/4 seked
>
> As it has always been, speculation is easy,
> confirming those speculations always proves a bit
> more difficult.
> That is my perspective on your question.
>
> Regards,
> Jacob


Hello Sirfiroth:




Any reliance on numerical expressions/representations, in any ‘written’ form, would have appeared long after studies of graphical solutions were serviceably spent. The ‘insoluble’ geometric construction problems often attributed to the Greeks had, at a minimum, their origins in Ancient Egypt. The priestly class of designers would have conceived, geometrically/finitely, solutions prior to execution via constructed configuration.

A mathematical circle is infinite; a geometrical circle is finite…



Dr. Troglodyte


“Quis custodiet ipsos custodes?“ - Decimus Junius Juvenalis
Η άγνοια είναι η μητέρα του μύθου και του μυστηρίου.


“Numero, Pondere et Mensura“


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Subject Views Written By Posted
Persuasive Evidence of the Ancient Manipulation of Pi? 3626 DavidK 15-Jan-18 14:51
Persuasive Evidence of the Modern Manipulation of Fibonacci 597 Dr. Troglodyte 15-Jan-18 19:00
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 612 magisterchessmutt 15-Jan-18 19:18
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 562 magisterchessmutt 15-Jan-18 19:37
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 87 DavidK 12-Jan-20 20:18
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 528 DavidK 15-Jan-18 20:10
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 539 DavidK 15-Jan-18 19:26
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 491 molder 15-Jan-18 23:35
Another Canonical alternative 775 cloister 16-Jan-18 00:57
Re: Another Canonical alternative 493 molder 16-Jan-18 11:35
Re: Another Canonical alternative 490 cloister 16-Jan-18 12:23
Another perspective???????????????? 495 Sirfiroth 16-Jan-18 18:09
Re: Another perspective???????????????? 521 DavidK 17-Jan-18 14:07
Re: Another perspective???????????????? 459 cloister 17-Jan-18 14:31
Re: Another perspective???????????????? 518 Sirfiroth 17-Jan-18 17:02
Re: Another perspective???????????????? 479 Dr. Troglodyte 17-Jan-18 17:41
Re: Another perspective???????????????? 484 cloister 17-Jan-18 21:55
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 92 DavidK 12-Jan-20 20:25
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 499 Harte 17-Jan-18 22:40
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 571 Sirfiroth 18-Jan-18 01:29
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 467 DavidK 18-Jan-18 10:11
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 424 Sirfiroth 18-Jan-18 14:10
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 415 DavidK 18-Jan-18 14:40
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 469 Sirfiroth 18-Jan-18 15:16
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 475 DavidK 18-Jan-18 15:48
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 511 Sirfiroth 19-Jan-18 18:38
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 438 DavidK 19-Jan-18 21:55
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 495 Sirfiroth 20-Jan-18 01:15
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 508 DavidK 20-Jan-18 09:56
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 438 Sirfiroth 20-Jan-18 16:12
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 563 rodz111 20-Jan-18 16:20
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 566 molder 20-Jan-18 11:31
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 473 DavidK 20-Jan-18 16:57
Re: CALL ROYAL CUBITS INCHES 474 molder 20-Jan-18 20:35
Re: CALL ROYAL CUBITS INCHES 459 molder 20-Jan-18 21:09
Re: CALL ROYAL CUBITS INCHES 494 Sirfiroth 21-Jan-18 03:58
Re: CALL ROYAL CUBITS INCHES 452 DavidK 21-Jan-18 10:31
Re: CALL ROYAL CUBITS INCHES 510 DavidK 21-Jan-18 10:57
Re: CALL ROYAL CUBITS INCHES 456 DavidK 21-Jan-18 11:22
Re: CALL ROYAL CUBITS INCHES 458 DavidK 21-Jan-18 11:39
Re: CALL ROYAL CUBITS INCHES 554 Sirfiroth 21-Jan-18 01:29
Persuasive Evidence of the Ancient Manipulation of Phi? 479 Dr. Troglodyte 18-Jan-18 14:53
Re: Persuasive Evidence of the Ancient Manipulation of Phi? 483 Sirfiroth 18-Jan-18 18:49
Re: Persuasive Evidence of the Ancient Manipulation of Phi? 525 Dr. Troglodyte 18-Jan-18 20:10
Re: Persuasive Evidence of the Ancient Manipulation of Phi? 579 DavidK 18-Jan-18 20:51
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 495 Harte 18-Jan-18 17:27
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 658 rodz111 21-Jan-18 12:00
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 431 DavidK 08-Feb-18 23:40
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 445 DavidK 08-Feb-18 23:50
is this for real? 473 DavidK 09-Feb-18 00:21
Linking different versions of Pi and the canon of ancient measure 445 DavidK 09-Feb-18 12:28
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 691 rodz111 11-Feb-18 10:17
Rind papyrus 50 is not Pi as 256/81 556 DavidK 09-Feb-18 15:31
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 507 DavidK 13-Feb-18 10:01
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 515 DavidK 13-Feb-18 16:28
Pi as 3.1416 525 DavidK 08-Mar-18 09:39
3 versions of Pi to get to 2912 at Stonehenge 521 DavidK 12-Mar-18 12:23
Fibonacci Pi, 7920 miles and the canon of ancient measure 611 DavidK 21-Mar-18 11:18
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 508 DavidK 09-Jun-18 10:28
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 380 DavidK 28-Jun-18 10:40
Finding real Pi at the Aubrey circle 390 DavidK 28-Jun-18 10:56
Re: Finding real Pi at the Aubrey circle 399 rodz111 28-Jun-18 12:06
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 393 molder 28-Jun-18 11:23
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 398 DavidK 28-Jun-18 12:01
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 379 molder 28-Jun-18 12:13
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 419 molder 28-Jun-18 21:37
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 434 DavidK 29-Jun-18 09:52
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 385 molder 29-Jun-18 21:23
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 361 DavidK 30-Jun-18 09:48
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 424 molder 30-Jun-18 10:23
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 374 DavidK 30-Jun-18 12:08
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 433 molder 30-Jun-18 12:18
Pi at Stonehenge and 2912 477 DavidK 07-Jul-18 06:47
the simplicity of using pi as 3.1416 at Stonehenge 410 DavidK 12-Aug-18 07:32
Re: the simplicity of using pi as 3.1416 at Stonehenge 353 DavidK 13-Aug-18 06:09
Fibonacci Pi the saros and 3.1416 at Stonehenge 331 DavidK 13-Aug-18 07:40
Astronomically produced pi 374 DavidK 13-Aug-18 07:43
variable pi using Michell's canon 374 DavidK 14-Aug-18 06:36
Re: variable pi using Michell's canon 309 cloister 14-Aug-18 09:48
Re: variable pi using Michell's canon 356 DavidK 14-Aug-18 10:10
Link between pi and root 2 418 DavidK 10-Aug-18 11:14
Re: Link between pi and root 2 362 DavidK 18-Aug-18 22:08
The Eclipse!? 374 PB Bytes 18-Aug-18 22:20
Re: The Eclipse!? 394 DavidK 18-Aug-18 22:41
Re: The Eclipse!? 416 PB Bytes 18-Aug-18 23:16
Re: The Eclipse!? 437 molder 19-Aug-18 11:12
Re: The Eclipse!? 459 DavidK 20-Aug-18 19:08
Jim Wakefield's fibonnacci Pi 374 DavidK 14-Dec-18 14:32
Re: Persuasive Evidence of the Ancient Manipulation of Pi? 300 DavidK 07-Jan-19 16:49
The hidden unit and Pi and real root 2 293 DavidK 09-Apr-19 12:30
Re: The hidden unit and Pi and real root 2 - Berriman had it 122 DavidK 03-Jan-20 12:51
Ellifino, As Usual 122 thinkitover 03-Jan-20 21:40
Re: Ellifino, As Usual 129 DavidK 03-Jan-20 23:11
Re: Ellifino, As Usual 104 thinkitover 13-Jan-20 06:22
Re: Ellifino, As Usual 135 DavidK 13-Jan-20 13:55


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