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The ancient Egyptian Royal Cubit was 7 palms x 4 fingers = 28 digits
28*52,5(royal cubit)=1470
1470/4=367,5

367,5/1,008=364,5833333333333
367,5 * 86400=31752000
31752000/51,84=612500
31752000/86400=367,5

945/52,5=18(eclipse cycle)
6562,5/18(eclipse cycle)=6,944444444444444
6,944444444444444*51,84(cubit from Nippur)=360
7*51,84(cubit from Nippur)=362,88
6562,5/52,5(royal cubit)=125
6615/52,5(royal cubit)==126
(125*126) /51,84=303,8194444444444
30,38194444444444*12=364,5833333333333
6615*****/7=945

125*18(eclipse cycle)=2250
126*18(eclipse cycle)=2268
2268*1000=2268000

81*25,6=2073,6
2073,6 /51,84=40
2073,6/51,2=40.5
2100/52,5=40
365,25 * 86400*40=1262304000
1262304000/2073,6=608750
608750*60000=36525000000

36525000000/1000/1000/100=365,25

The basis of the standard was a definition of a geographic degree divided into 600 parts know as stadia which were further divided into 600 feet.

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In Mesopotamia there was the sos = 180 m
The copper bar cubit of Nippur, the oldest preserved standard bar, defines the Sumerian cubit (kù) as half a metre.
500/1,008=496,031746031746
definition of 1 stadion = 1587,6m= 300 Egyptian royal cubits = 600 Gudea units (length of the yardstick at the statue of Gudea

the meridian arc length to 252000 * 0,1587,6 = 40007,52 km. How could Eratosthenes obtain in ancient times already such an accurate result?
39690 (the circumference of the Earth) * 1,008 = 40007,52 (the perimeter of the Earth along the meridians)
40007,52 / 529,2=75,6
Egyptian Royal cubit (RC) = 2 GU =529,2
529,2*1,1111111111111=588
588/1,6=367,5
foot unit used in Rome (palmipes romanus), Milet and china (Tschi) (MF = 6/5 GU = 6/10 RC = 317,52mm) was called by Heron “Pous Philetairikos” (as will be assumed here), then the Gudea unit was called by him “Pous Italikos”

the “Pous Ptolemaikos” (PP = (2/3) RC = 352,8 mm)
the Royal Cubit and to a foot unit used e.g. to rebuild Carthago (PC = (5/6) PP =294 mm.
PC = (5/6) PP =(5*352,8)/6=294
294 mm *2=588 mm
588 mm/1,008=583,3333333333333mm
588/1,6=367,5mm
583,3333333333333/1,6=364,5833333333333mm
the Kyrenaika (FK =28/24 GE = 308,7 mm)
in the homeland of Eratosthenes; the relation Kyrenaika foot: pes
romanus = 308,7/ 296,352 = 25 : 24 is well documented in the ancient literature.
308,7/ 296,352=1,041666666666667
1,041666666666667*7=7,291666666666667
7,291666666666667*50=364,5833333333333
The tables of Senkereh (Lepsius 1877) provide us with the exact definition of the
mesopotamian Kaspu (K= 6*60*60 cubits); the Persian Parasange (P = 3*60*60 cubits) was
half of a Kaspu. As stated by Herodot the persian Paransange was usually divided into 30
1 Parasange = 10800 Royal Cubits = 5,715360km
the stadion of Herodot = (1/30) Paransange the corresponding foot
unit was the “Pous Philetairikos” (palmipes romanus/Tschi)
1 Stadion of Herodot = 600 Pous Philetairikos =190,512

Closely connected to the Paransange by a relation 9 : 10 =10800 : 12000 (but also to the Egyptian length units 1 Khet = 100 Royal cubits and 1 Itr = 200 Khet = 20000 Royal cubits) was the Egyptian Schoinos = 12000 Royal cubits =6,3504 km
6,3504 km / 1,008=6,3
6,3 km *1,0125*1000=6378,5 km(the radius of the Earth)

Eratosthenes has used, according to Plinius, a stadion = (1/40) Schoinos, that is Stadion of Eratosthenes = 300 Royal cubits = 600 Gudea units =158,76
158,76/1,008=157,5
Stadion Ptolemaikos = 400 Royal cubits = 600 Pous Ptolemaikos = 352,8*600=211,680 m

Stadion Italikon = 600 Kyrenaika foot = (28/24) 600 Gudea units =185,22 m
Stadion Olympicon = 600 pes romanus = (28/25) 600 Gudea units = 177,8112m

Meridian are length = 70*60*60 stadia of Eratosthenes = 60*60*60 Stadia Italicon
Chaldean” stadion = 375 Royal cubits = 750 Gudea units = 198,45m.
198,45m /1,0125=196,875
196,875/1,0125=194,4444444444444

Chaldean” stadion = 375 Royal cubits*1,008 = 378
“Rhodian” Stadion = (5/6) 375 Royal cubits = (25/24) Gudea units = 165,375 m
“Phönician” Stadion = (10/9) 375 Royal cubits = (25/18) 600 Gudea units = 220,5 m
Meridian arc length = 240 000 “Rhodian” stadia = 200 000 “Chaldean” stadia
= 180 000 “Phönician” stadia = 39690 km.
39690 km/1,008=39375km

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Edited 2 time(s). Last edit at 18-Apr-18 18:56 by rodz111.

Subject Views Written By Posted
Encoded in PI--- 1950 PhiPIandI 16-Mar-18 03:13
Re: Encoded in PI--- 456 PhiPIandI 16-Mar-18 03:40
Re: Encoded in PI--- 466 M. J. Thomas 16-Mar-18 06:51
Re: Encoded in PI---EGYPT & PI & Moon 463 PhiPIandI 16-Mar-18 11:37
Really? 379 Sirfiroth 16-Mar-18 13:51
Re: Encoded in PI---EGYPT & PI & Moon 419 M. J. Thomas 16-Mar-18 19:01
Re: Encoded in PI---EGYPT & PI & Moon 305 cladking 16-Mar-18 20:50
Re: Encoded in PI---EGYPT & PI & Moon 350 Manu 16-Mar-18 21:11
Re: Encoded in PI---EGYPT & PI & Moon 375 molder 16-Mar-18 22:46
Re: Encoded in PI---EGYPT & PI & Moon 333 molder 17-Mar-18 04:11
Re: Encoded in PI---EGYPT & PI & Moon 423 Manu 17-Mar-18 16:29
Re: Encoded in PI---EGYPT & PI & Moon 379 M. J. Thomas 17-Mar-18 16:51
Re: Encoded in PI---EGYPT & PI & Moon 324 Sirfiroth 17-Mar-18 18:29
Re: Encoded in PI---EGYPT & PI & Moon 378 M. J. Thomas 17-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 360 Sirfiroth 17-Mar-18 20:33
Re: Encoded in PI---EGYPT & PI & Moon 362 M. J. Thomas 17-Mar-18 21:27
Re: Encoded in PI---EGYPT & PI & Moon 408 M. J. Thomas 17-Mar-18 08:48
Re: Encoded in PI---EGYPT & PI & Moon 357 cladking 17-Mar-18 13:47
Re: Encoded in PI---EGYPT & PI & Moon 341 molder 18-Mar-18 12:47
Re: Encoded in PI---EGYPT & PI & Moon 320 Manu 18-Mar-18 16:40
Re: Encoded in PI---EGYPT & PI & Moon 331 M. J. Thomas 18-Mar-18 17:09
Re: Encoded in PI---EGYPT & PI & Moon 382 Manu 18-Mar-18 19:18
Re: Encoded in PI---EGYPT & PI & Moon 408 M. J. Thomas 19-Mar-18 10:49
Re: Encoded in PI---EGYPT & PI & Moon 392 DavidK 19-Mar-18 11:28
Re: Encoded in PI---EGYPT & PI & Moon 346 Manu 19-Mar-18 14:19
Re: Encoded in PI---EGYPT & PI & Moon 342 M. J. Thomas 19-Mar-18 17:49
Re: Encoded in PI---EGYPT & PI & Moon 374 Manu 19-Mar-18 18:14
Re: Encoded in PI---EGYPT & PI & Moon 339 M. J. Thomas 19-Mar-18 18:49
Re: Encoded in PI---EGYPT & PI & Moon 308 Manu 19-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 347 Audrey 20-Mar-18 01:06
Re: Encoded in PI---EGYPT & PI & Moon 309 molder 19-Mar-18 05:12
Harold @ "2-Pi-R" 341 Dr. Troglodyte 16-Mar-18 16:18
Re: Harold @ "2-Pi-R" 437 MDaines 16-Mar-18 17:19
Re: Encoded in PI--- 328 cladking 16-Mar-18 16:28
Re: Encoded in PI--- 371 Manu 16-Mar-18 16:45
Re: Encoded in PI--- 385 DavidK 18-Mar-18 01:19
Re: Encoded in PI--- 419 PhiPIandI 18-Mar-18 04:08
Re: Encoded in PI--- 389 M. J. Thomas 18-Mar-18 08:41
Re: Encoded in PI--- 320 DavidK 18-Mar-18 12:19
Re: Encoded in PI--- 300 M. J. Thomas 18-Mar-18 16:13
Re: Encoded in PI--- 350 DavidK 18-Mar-18 17:00
Re: Encoded in PI--- 624 rodz111 18-Mar-18 04:58
Re: Encoded in PI--- 355 M. J. Thomas 18-Mar-18 16:21
Re: Encoded in PI--- 339 DavidK 18-Mar-18 17:22
Re: Encoded in PI--- 641 rodz111 25-Mar-18 19:44
Re: Encoded in PI--- 407 molder 25-Mar-18 21:53
Re: Encoded in PI--- 364 rodz111 18-Mar-18 17:26
Re: Encoded in PI--- 363 M. J. Thomas 18-Mar-18 17:55
Re: Encoded in PI--- 389 DavidK 19-Mar-18 09:40
Re: Encoded in PI--- 381 Manu 19-Mar-18 19:21
Re: Encoded in PI--- 352 DavidK 19-Mar-18 20:12
Re: Encoded in PI--- 347 Manu 19-Mar-18 20:49
Re: Encoded in PI--- 328 M. J. Thomas 20-Mar-18 01:24
Re: Encoded in PI--- 359 Manu 20-Mar-18 03:10
Re: Encoded in PI--- 336 DavidK 19-Mar-18 20:58
Re: Encoded in PI--- 373 Manu 19-Mar-18 21:18
Re: Encoded in PI--- 371 DavidK 20-Mar-18 12:01
Re: Encoded in PI--- 359 Manu 20-Mar-18 20:50
Re: Encoded in PI--- 377 DavidK 22-Mar-18 14:04
Re: Encoded in PI--- 380 magisterchessmutt 28-Mar-18 01:13
Re: Encoded in PI--- 333 DavidK 28-Mar-18 06:55
Re: Encoded in PI--- 352 magisterchessmutt 28-Mar-18 13:38
Re: Encoded in PI--- 359 DavidK 29-Mar-18 11:02
Re: Encoded in PI--- 452 rodz111 30-Mar-18 19:40
Re: Encoded in PI--- 402 DavidK 20-Mar-18 23:26
Re: Encoded in PI--- 345 drew 31-Mar-18 00:30
Re: Encoded in PI No. 33 488 ajfriman 31-Mar-18 19:55
Re: Encoded in PI No. 33 434 PhiPIandI 04-Apr-18 23:29
Re: Encoded in PI No. 33 451 PhiPIandI 09-Apr-18 20:40
Re: Encoded in PI No. 33 335 rodz111 11-Apr-18 18:30
Re: Encoded in PI--- 407 rodz111 12-Apr-18 22:09
Re: Encoded in PI--- 373 rodz111 14-Apr-18 01:03
Re: the astronomical cubit codes the tropical year 534 rodz111 15-Apr-18 20:03
Re: Encoded in PI--- 463 rodz111 17-Apr-18 20:36

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