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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--- 1668 PhiPIandI 16-Mar-18 03:13
Re: Encoded in PI--- 327 PhiPIandI 16-Mar-18 03:40
Re: Encoded in PI--- 314 M. J. Thomas 16-Mar-18 06:51
Re: Encoded in PI---EGYPT & PI & Moon 323 PhiPIandI 16-Mar-18 11:37
Really? 263 Sirfiroth 16-Mar-18 13:51
Re: Encoded in PI---EGYPT & PI & Moon 288 M. J. Thomas 16-Mar-18 19:01
Re: Encoded in PI---EGYPT & PI & Moon 194 cladking 16-Mar-18 20:50
Re: Encoded in PI---EGYPT & PI & Moon 245 Manu 16-Mar-18 21:11
Re: Encoded in PI---EGYPT & PI & Moon 231 molder 16-Mar-18 22:46
Re: Encoded in PI---EGYPT & PI & Moon 222 molder 17-Mar-18 04:11
Re: Encoded in PI---EGYPT & PI & Moon 289 Manu 17-Mar-18 16:29
Re: Encoded in PI---EGYPT & PI & Moon 244 M. J. Thomas 17-Mar-18 16:51
Re: Encoded in PI---EGYPT & PI & Moon 217 Sirfiroth 17-Mar-18 18:29
Re: Encoded in PI---EGYPT & PI & Moon 233 M. J. Thomas 17-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 238 Sirfiroth 17-Mar-18 20:33
Re: Encoded in PI---EGYPT & PI & Moon 240 M. J. Thomas 17-Mar-18 21:27
Re: Encoded in PI---EGYPT & PI & Moon 274 M. J. Thomas 17-Mar-18 08:48
Re: Encoded in PI---EGYPT & PI & Moon 244 cladking 17-Mar-18 13:47
Re: Encoded in PI---EGYPT & PI & Moon 221 molder 18-Mar-18 12:47
Re: Encoded in PI---EGYPT & PI & Moon 191 Manu 18-Mar-18 16:40
Re: Encoded in PI---EGYPT & PI & Moon 218 M. J. Thomas 18-Mar-18 17:09
Re: Encoded in PI---EGYPT & PI & Moon 262 Manu 18-Mar-18 19:18
Re: Encoded in PI---EGYPT & PI & Moon 262 M. J. Thomas 19-Mar-18 10:49
Re: Encoded in PI---EGYPT & PI & Moon 244 DavidK 19-Mar-18 11:28
Re: Encoded in PI---EGYPT & PI & Moon 235 Manu 19-Mar-18 14:19
Re: Encoded in PI---EGYPT & PI & Moon 209 M. J. Thomas 19-Mar-18 17:49
Re: Encoded in PI---EGYPT & PI & Moon 250 Manu 19-Mar-18 18:14
Re: Encoded in PI---EGYPT & PI & Moon 202 M. J. Thomas 19-Mar-18 18:49
Re: Encoded in PI---EGYPT & PI & Moon 193 Manu 19-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 220 Audrey 20-Mar-18 01:06
Re: Encoded in PI---EGYPT & PI & Moon 210 molder 19-Mar-18 05:12
Harold @ "2-Pi-R" 228 Dr. Troglodyte 16-Mar-18 16:18
Re: Harold @ "2-Pi-R" 270 MDaines 16-Mar-18 17:19
Re: Encoded in PI--- 197 cladking 16-Mar-18 16:28
Re: Encoded in PI--- 235 Manu 16-Mar-18 16:45
Re: Encoded in PI--- 228 DavidK 18-Mar-18 01:19
Re: Encoded in PI--- 280 PhiPIandI 18-Mar-18 04:08
Re: Encoded in PI--- 269 M. J. Thomas 18-Mar-18 08:41
Re: Encoded in PI--- 214 DavidK 18-Mar-18 12:19
Re: Encoded in PI--- 193 M. J. Thomas 18-Mar-18 16:13
Re: Encoded in PI--- 223 DavidK 18-Mar-18 17:00
Re: Encoded in PI--- 407 rodz111 18-Mar-18 04:58
Re: Encoded in PI--- 231 M. J. Thomas 18-Mar-18 16:21
Re: Encoded in PI--- 220 DavidK 18-Mar-18 17:22
Re: Encoded in PI--- 409 rodz111 25-Mar-18 19:44
Re: Encoded in PI--- 235 molder 25-Mar-18 21:53
Re: Encoded in PI--- 249 rodz111 18-Mar-18 17:26
Re: Encoded in PI--- 245 M. J. Thomas 18-Mar-18 17:55
Re: Encoded in PI--- 239 DavidK 19-Mar-18 09:40
Re: Encoded in PI--- 231 Manu 19-Mar-18 19:21
Re: Encoded in PI--- 240 DavidK 19-Mar-18 20:12
Re: Encoded in PI--- 229 Manu 19-Mar-18 20:49
Re: Encoded in PI--- 209 M. J. Thomas 20-Mar-18 01:24
Re: Encoded in PI--- 248 Manu 20-Mar-18 03:10
Re: Encoded in PI--- 186 DavidK 19-Mar-18 20:58
Re: Encoded in PI--- 255 Manu 19-Mar-18 21:18
Re: Encoded in PI--- 246 DavidK 20-Mar-18 12:01
Re: Encoded in PI--- 226 Manu 20-Mar-18 20:50
Re: Encoded in PI--- 257 DavidK 22-Mar-18 14:04
Re: Encoded in PI--- 252 magisterchessmutt 28-Mar-18 01:13
Re: Encoded in PI--- 225 DavidK 28-Mar-18 06:55
Re: Encoded in PI--- 223 magisterchessmutt 28-Mar-18 13:38
Re: Encoded in PI--- 237 DavidK 29-Mar-18 11:02
Re: Encoded in PI--- 253 rodz111 30-Mar-18 19:40
Re: Encoded in PI--- 270 DavidK 20-Mar-18 23:26
Re: Encoded in PI--- 223 drew 31-Mar-18 00:30
Re: Encoded in PI No. 33 352 ajfriman 31-Mar-18 19:55
Re: Encoded in PI No. 33 281 PhiPIandI 04-Apr-18 23:29
Re: Encoded in PI No. 33 297 PhiPIandI 09-Apr-18 20:40
Re: Encoded in PI No. 33 210 rodz111 11-Apr-18 18:30
Re: Encoded in PI--- 239 rodz111 12-Apr-18 22:09
Re: Encoded in PI--- 237 rodz111 14-Apr-18 01:03
Re: the astronomical cubit codes the tropical year 293 rodz111 15-Apr-18 20:03
Re: Encoded in PI--- 316 rodz111 17-Apr-18 20:36


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