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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--- 1830 PhiPIandI 16-Mar-18 03:13
Re: Encoded in PI--- 381 PhiPIandI 16-Mar-18 03:40
Re: Encoded in PI--- 375 M. J. Thomas 16-Mar-18 06:51
Re: Encoded in PI---EGYPT & PI & Moon 383 PhiPIandI 16-Mar-18 11:37
Really? 317 Sirfiroth 16-Mar-18 13:51
Re: Encoded in PI---EGYPT & PI & Moon 354 M. J. Thomas 16-Mar-18 19:01
Re: Encoded in PI---EGYPT & PI & Moon 257 cladking 16-Mar-18 20:50
Re: Encoded in PI---EGYPT & PI & Moon 298 Manu 16-Mar-18 21:11
Re: Encoded in PI---EGYPT & PI & Moon 320 molder 16-Mar-18 22:46
Re: Encoded in PI---EGYPT & PI & Moon 276 molder 17-Mar-18 04:11
Re: Encoded in PI---EGYPT & PI & Moon 359 Manu 17-Mar-18 16:29
Re: Encoded in PI---EGYPT & PI & Moon 315 M. J. Thomas 17-Mar-18 16:51
Re: Encoded in PI---EGYPT & PI & Moon 272 Sirfiroth 17-Mar-18 18:29
Re: Encoded in PI---EGYPT & PI & Moon 300 M. J. Thomas 17-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 293 Sirfiroth 17-Mar-18 20:33
Re: Encoded in PI---EGYPT & PI & Moon 301 M. J. Thomas 17-Mar-18 21:27
Re: Encoded in PI---EGYPT & PI & Moon 338 M. J. Thomas 17-Mar-18 08:48
Re: Encoded in PI---EGYPT & PI & Moon 295 cladking 17-Mar-18 13:47
Re: Encoded in PI---EGYPT & PI & Moon 282 molder 18-Mar-18 12:47
Re: Encoded in PI---EGYPT & PI & Moon 262 Manu 18-Mar-18 16:40
Re: Encoded in PI---EGYPT & PI & Moon 272 M. J. Thomas 18-Mar-18 17:09
Re: Encoded in PI---EGYPT & PI & Moon 320 Manu 18-Mar-18 19:18
Re: Encoded in PI---EGYPT & PI & Moon 348 M. J. Thomas 19-Mar-18 10:49
Re: Encoded in PI---EGYPT & PI & Moon 319 DavidK 19-Mar-18 11:28
Re: Encoded in PI---EGYPT & PI & Moon 286 Manu 19-Mar-18 14:19
Re: Encoded in PI---EGYPT & PI & Moon 281 M. J. Thomas 19-Mar-18 17:49
Re: Encoded in PI---EGYPT & PI & Moon 321 Manu 19-Mar-18 18:14
Re: Encoded in PI---EGYPT & PI & Moon 273 M. J. Thomas 19-Mar-18 18:49
Re: Encoded in PI---EGYPT & PI & Moon 255 Manu 19-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 287 Audrey 20-Mar-18 01:06
Re: Encoded in PI---EGYPT & PI & Moon 259 molder 19-Mar-18 05:12
Harold @ "2-Pi-R" 285 Dr. Troglodyte 16-Mar-18 16:18
Re: Harold @ "2-Pi-R" 336 MDaines 16-Mar-18 17:19
Re: Encoded in PI--- 251 cladking 16-Mar-18 16:28
Re: Encoded in PI--- 302 Manu 16-Mar-18 16:45
Re: Encoded in PI--- 323 DavidK 18-Mar-18 01:19
Re: Encoded in PI--- 347 PhiPIandI 18-Mar-18 04:08
Re: Encoded in PI--- 334 M. J. Thomas 18-Mar-18 08:41
Re: Encoded in PI--- 260 DavidK 18-Mar-18 12:19
Re: Encoded in PI--- 249 M. J. Thomas 18-Mar-18 16:13
Re: Encoded in PI--- 283 DavidK 18-Mar-18 17:00
Re: Encoded in PI--- 546 rodz111 18-Mar-18 04:58
Re: Encoded in PI--- 298 M. J. Thomas 18-Mar-18 16:21
Re: Encoded in PI--- 286 DavidK 18-Mar-18 17:22
Re: Encoded in PI--- 529 rodz111 25-Mar-18 19:44
Re: Encoded in PI--- 313 molder 25-Mar-18 21:53
Re: Encoded in PI--- 303 rodz111 18-Mar-18 17:26
Re: Encoded in PI--- 306 M. J. Thomas 18-Mar-18 17:55
Re: Encoded in PI--- 299 DavidK 19-Mar-18 09:40
Re: Encoded in PI--- 313 Manu 19-Mar-18 19:21
Re: Encoded in PI--- 296 DavidK 19-Mar-18 20:12
Re: Encoded in PI--- 286 Manu 19-Mar-18 20:49
Re: Encoded in PI--- 274 M. J. Thomas 20-Mar-18 01:24
Re: Encoded in PI--- 304 Manu 20-Mar-18 03:10
Re: Encoded in PI--- 265 DavidK 19-Mar-18 20:58
Re: Encoded in PI--- 308 Manu 19-Mar-18 21:18
Re: Encoded in PI--- 309 DavidK 20-Mar-18 12:01
Re: Encoded in PI--- 296 Manu 20-Mar-18 20:50
Re: Encoded in PI--- 319 DavidK 22-Mar-18 14:04
Re: Encoded in PI--- 322 magisterchessmutt 28-Mar-18 01:13
Re: Encoded in PI--- 279 DavidK 28-Mar-18 06:55
Re: Encoded in PI--- 301 magisterchessmutt 28-Mar-18 13:38
Re: Encoded in PI--- 291 DavidK 29-Mar-18 11:02
Re: Encoded in PI--- 361 rodz111 30-Mar-18 19:40
Re: Encoded in PI--- 338 DavidK 20-Mar-18 23:26
Re: Encoded in PI--- 277 drew 31-Mar-18 00:30
Re: Encoded in PI No. 33 414 ajfriman 31-Mar-18 19:55
Re: Encoded in PI No. 33 357 PhiPIandI 04-Apr-18 23:29
Re: Encoded in PI No. 33 373 PhiPIandI 09-Apr-18 20:40
Re: Encoded in PI No. 33 261 rodz111 11-Apr-18 18:30
Re: Encoded in PI--- 303 rodz111 12-Apr-18 22:09
Re: Encoded in PI--- 300 rodz111 14-Apr-18 01:03
Re: the astronomical cubit codes the tropical year 443 rodz111 15-Apr-18 20:03
Re: Encoded in PI--- 395 rodz111 17-Apr-18 20:36


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