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1) The geometric definition of a cubit is π/6 x 1 meter. No change. I am not saying the r.c. was defined geometrically by Hemiunu. However, the geometric cubit is an excellent model of the one observed at Khufu Akhet.

2) The mean you cite is meaningless without error bars and any insistence on even the second decimal is unrealistic:

The K.C. was not a perfect rectangle when Petrie was there and his measurements despite adjustments show that. The top length south is almost an inch shorter than the north base. Not that I care all that much for my purposes, but taking a look at the numbers since this matters so much to you: Differences top to bottom each wall.
North: 0.64 inches
South: 0.65 inches

If we take the extremes of these four measurements we get a cubit range of 20.594 - 20.639 inch

West: 0.12 inches
East: 0.14 inches

The cubit range is 20.604 - 20.643 inch

What this means is that the true variance due to all variations is 0.049 inch (error +/- 0.025) 6 times what Petrie reported...0.008, +/- 0.004.

Therefore, the real error bars on Petrie's overall average value, 20.632, are 20.594 - 20.643. The geometric definition is actually more centered relative to that range, ie -20 parts ppm/rc/+ 29 ppm, versus Petrie's overall average which is approaching the upper bracket to within 11 ppm.

What Petrie did is to assume that the base measurements were more accurate than the ceiling measurement. His average value for the cubit is derived from those four measurements at the base.

Quote
Probably the base of the chamber was the part most carefully adjusted and set out; and hence the original value of the cubit used can be most accurately recovered from that part. The four sides there yield a mean value of 20-632 ± "004, and this is certainly the best determination of the cubit that we can hope for from the Great Pyramid.


He eliminated four data points on a hunch. Why?

Gantenbrink's analysis of structure points shows that the ceiling measurements were the better anchors. Regardless, in the absence of knowing which, you have had to treat all 8 observation as equally valid to feed into the confidence interval of the metric used.

A similar issue came up when measuring the perimeter. He assumed that the pyramid corners fell on the diagonals. As a result, his error bars are artificially small, because he eliminated the variance of the corners from the diagonals, which Lehner and Goodman accounted for.


MJT: This conversation continues after I read your published work and not one day earlier.
Stop fussing around behind the curtain. Just do it and get it done. I am actually looking forward to it!



Edited 8 time(s). Last edit at 20-Mar-18 11:24 by Manu.

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Subject Views Written By Posted
Encoded in PI--- 1788 PhiPIandI 16-Mar-18 03:13
Re: Encoded in PI--- 369 PhiPIandI 16-Mar-18 03:40
Re: Encoded in PI--- 364 M. J. Thomas 16-Mar-18 06:51
Re: Encoded in PI---EGYPT & PI & Moon 371 PhiPIandI 16-Mar-18 11:37
Really? 308 Sirfiroth 16-Mar-18 13:51
Re: Encoded in PI---EGYPT & PI & Moon 342 M. J. Thomas 16-Mar-18 19:01
Re: Encoded in PI---EGYPT & PI & Moon 249 cladking 16-Mar-18 20:50
Re: Encoded in PI---EGYPT & PI & Moon 290 Manu 16-Mar-18 21:11
Re: Encoded in PI---EGYPT & PI & Moon 307 molder 16-Mar-18 22:46
Re: Encoded in PI---EGYPT & PI & Moon 267 molder 17-Mar-18 04:11
Re: Encoded in PI---EGYPT & PI & Moon 342 Manu 17-Mar-18 16:29
Re: Encoded in PI---EGYPT & PI & Moon 304 M. J. Thomas 17-Mar-18 16:51
Re: Encoded in PI---EGYPT & PI & Moon 263 Sirfiroth 17-Mar-18 18:29
Re: Encoded in PI---EGYPT & PI & Moon 290 M. J. Thomas 17-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 286 Sirfiroth 17-Mar-18 20:33
Re: Encoded in PI---EGYPT & PI & Moon 289 M. J. Thomas 17-Mar-18 21:27
Re: Encoded in PI---EGYPT & PI & Moon 329 M. J. Thomas 17-Mar-18 08:48
Re: Encoded in PI---EGYPT & PI & Moon 287 cladking 17-Mar-18 13:47
Re: Encoded in PI---EGYPT & PI & Moon 274 molder 18-Mar-18 12:47
Re: Encoded in PI---EGYPT & PI & Moon 253 Manu 18-Mar-18 16:40
Re: Encoded in PI---EGYPT & PI & Moon 263 M. J. Thomas 18-Mar-18 17:09
Re: Encoded in PI---EGYPT & PI & Moon 311 Manu 18-Mar-18 19:18
Re: Encoded in PI---EGYPT & PI & Moon 337 M. J. Thomas 19-Mar-18 10:49
Re: Encoded in PI---EGYPT & PI & Moon 311 DavidK 19-Mar-18 11:28
Re: Encoded in PI---EGYPT & PI & Moon 278 Manu 19-Mar-18 14:19
Re: Encoded in PI---EGYPT & PI & Moon 270 M. J. Thomas 19-Mar-18 17:49
Re: Encoded in PI---EGYPT & PI & Moon 312 Manu 19-Mar-18 18:14
Re: Encoded in PI---EGYPT & PI & Moon 257 M. J. Thomas 19-Mar-18 18:49
Re: Encoded in PI---EGYPT & PI & Moon 241 Manu 19-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 270 Audrey 20-Mar-18 01:06
Re: Encoded in PI---EGYPT & PI & Moon 250 molder 19-Mar-18 05:12
Harold @ "2-Pi-R" 275 Dr. Troglodyte 16-Mar-18 16:18
Re: Harold @ "2-Pi-R" 328 MDaines 16-Mar-18 17:19
Re: Encoded in PI--- 244 cladking 16-Mar-18 16:28
Re: Encoded in PI--- 288 Manu 16-Mar-18 16:45
Re: Encoded in PI--- 308 DavidK 18-Mar-18 01:19
Re: Encoded in PI--- 335 PhiPIandI 18-Mar-18 04:08
Re: Encoded in PI--- 322 M. J. Thomas 18-Mar-18 08:41
Re: Encoded in PI--- 253 DavidK 18-Mar-18 12:19
Re: Encoded in PI--- 239 M. J. Thomas 18-Mar-18 16:13
Re: Encoded in PI--- 273 DavidK 18-Mar-18 17:00
Re: Encoded in PI--- 523 rodz111 18-Mar-18 04:58
Re: Encoded in PI--- 287 M. J. Thomas 18-Mar-18 16:21
Re: Encoded in PI--- 275 DavidK 18-Mar-18 17:22
Re: Encoded in PI--- 492 rodz111 25-Mar-18 19:44
Re: Encoded in PI--- 294 molder 25-Mar-18 21:53
Re: Encoded in PI--- 289 rodz111 18-Mar-18 17:26
Re: Encoded in PI--- 294 M. J. Thomas 18-Mar-18 17:55
Re: Encoded in PI--- 290 DavidK 19-Mar-18 09:40
Re: Encoded in PI--- 299 Manu 19-Mar-18 19:21
Re: Encoded in PI--- 279 DavidK 19-Mar-18 20:12
Re: Encoded in PI--- 273 Manu 19-Mar-18 20:49
Re: Encoded in PI--- 250 M. J. Thomas 20-Mar-18 01:24
Re: Encoded in PI--- 289 Manu 20-Mar-18 03:10
Re: Encoded in PI--- 251 DavidK 19-Mar-18 20:58
Re: Encoded in PI--- 301 Manu 19-Mar-18 21:18
Re: Encoded in PI--- 294 DavidK 20-Mar-18 12:01
Re: Encoded in PI--- 283 Manu 20-Mar-18 20:50
Re: Encoded in PI--- 305 DavidK 22-Mar-18 14:04
Re: Encoded in PI--- 307 magisterchessmutt 28-Mar-18 01:13
Re: Encoded in PI--- 269 DavidK 28-Mar-18 06:55
Re: Encoded in PI--- 286 magisterchessmutt 28-Mar-18 13:38
Re: Encoded in PI--- 278 DavidK 29-Mar-18 11:02
Re: Encoded in PI--- 339 rodz111 30-Mar-18 19:40
Re: Encoded in PI--- 318 DavidK 20-Mar-18 23:26
Re: Encoded in PI--- 268 drew 31-Mar-18 00:30
Re: Encoded in PI No. 33 401 ajfriman 31-Mar-18 19:55
Re: Encoded in PI No. 33 340 PhiPIandI 04-Apr-18 23:29
Re: Encoded in PI No. 33 358 PhiPIandI 09-Apr-18 20:40
Re: Encoded in PI No. 33 246 rodz111 11-Apr-18 18:30
Re: Encoded in PI--- 284 rodz111 12-Apr-18 22:09
Re: Encoded in PI--- 286 rodz111 14-Apr-18 01:03
Re: the astronomical cubit codes the tropical year 394 rodz111 15-Apr-18 20:03
Re: Encoded in PI--- 378 rodz111 17-Apr-18 20:36


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