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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--- 1562 PhiPIandI 16-Mar-18 03:13
Re: Encoded in PI--- 298 PhiPIandI 16-Mar-18 03:40
Re: Encoded in PI--- 274 M. J. Thomas 16-Mar-18 06:51
Re: Encoded in PI---EGYPT & PI & Moon 285 PhiPIandI 16-Mar-18 11:37
Really? 237 Sirfiroth 16-Mar-18 13:51
Re: Encoded in PI---EGYPT & PI & Moon 241 M. J. Thomas 16-Mar-18 19:01
Re: Encoded in PI---EGYPT & PI & Moon 170 cladking 16-Mar-18 20:50
Re: Encoded in PI---EGYPT & PI & Moon 222 Manu 16-Mar-18 21:11
Re: Encoded in PI---EGYPT & PI & Moon 200 molder 16-Mar-18 22:46
Re: Encoded in PI---EGYPT & PI & Moon 200 molder 17-Mar-18 04:11
Re: Encoded in PI---EGYPT & PI & Moon 239 Manu 17-Mar-18 16:29
Re: Encoded in PI---EGYPT & PI & Moon 199 M. J. Thomas 17-Mar-18 16:51
Re: Encoded in PI---EGYPT & PI & Moon 181 Sirfiroth 17-Mar-18 18:29
Re: Encoded in PI---EGYPT & PI & Moon 206 M. J. Thomas 17-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 199 Sirfiroth 17-Mar-18 20:33
Re: Encoded in PI---EGYPT & PI & Moon 196 M. J. Thomas 17-Mar-18 21:27
Re: Encoded in PI---EGYPT & PI & Moon 240 M. J. Thomas 17-Mar-18 08:48
Re: Encoded in PI---EGYPT & PI & Moon 217 cladking 17-Mar-18 13:47
Re: Encoded in PI---EGYPT & PI & Moon 175 molder 18-Mar-18 12:47
Re: Encoded in PI---EGYPT & PI & Moon 173 Manu 18-Mar-18 16:40
Re: Encoded in PI---EGYPT & PI & Moon 180 M. J. Thomas 18-Mar-18 17:09
Re: Encoded in PI---EGYPT & PI & Moon 225 Manu 18-Mar-18 19:18
Re: Encoded in PI---EGYPT & PI & Moon 220 M. J. Thomas 19-Mar-18 10:49
Re: Encoded in PI---EGYPT & PI & Moon 217 DavidK 19-Mar-18 11:28
Re: Encoded in PI---EGYPT & PI & Moon 208 Manu 19-Mar-18 14:19
Re: Encoded in PI---EGYPT & PI & Moon 170 M. J. Thomas 19-Mar-18 17:49
Re: Encoded in PI---EGYPT & PI & Moon 198 Manu 19-Mar-18 18:14
Re: Encoded in PI---EGYPT & PI & Moon 178 M. J. Thomas 19-Mar-18 18:49
Re: Encoded in PI---EGYPT & PI & Moon 162 Manu 19-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 185 Audrey 20-Mar-18 01:06
Re: Encoded in PI---EGYPT & PI & Moon 184 molder 19-Mar-18 05:12
Harold @ "2-Pi-R" 207 Dr. Troglodyte 16-Mar-18 16:18
Re: Harold @ "2-Pi-R" 230 MDaines 16-Mar-18 17:19
Re: Encoded in PI--- 176 cladking 16-Mar-18 16:28
Re: Encoded in PI--- 209 Manu 16-Mar-18 16:45
Re: Encoded in PI--- 203 DavidK 18-Mar-18 01:19
Re: Encoded in PI--- 247 PhiPIandI 18-Mar-18 04:08
Re: Encoded in PI--- 214 M. J. Thomas 18-Mar-18 08:41
Re: Encoded in PI--- 177 DavidK 18-Mar-18 12:19
Re: Encoded in PI--- 172 M. J. Thomas 18-Mar-18 16:13
Re: Encoded in PI--- 183 DavidK 18-Mar-18 17:00
Re: Encoded in PI--- 349 rodz111 18-Mar-18 04:58
Re: Encoded in PI--- 207 M. J. Thomas 18-Mar-18 16:21
Re: Encoded in PI--- 153 DavidK 18-Mar-18 17:22
Re: Encoded in PI--- 358 rodz111 25-Mar-18 19:44
Re: Encoded in PI--- 192 molder 25-Mar-18 21:53
Re: Encoded in PI--- 206 rodz111 18-Mar-18 17:26
Re: Encoded in PI--- 204 M. J. Thomas 18-Mar-18 17:55
Re: Encoded in PI--- 202 DavidK 19-Mar-18 09:40
Re: Encoded in PI--- 177 Manu 19-Mar-18 19:21
Re: Encoded in PI--- 201 DavidK 19-Mar-18 20:12
Re: Encoded in PI--- 192 Manu 19-Mar-18 20:49
Re: Encoded in PI--- 171 M. J. Thomas 20-Mar-18 01:24
Re: Encoded in PI--- 215 Manu 20-Mar-18 03:10
Re: Encoded in PI--- 149 DavidK 19-Mar-18 20:58
Re: Encoded in PI--- 217 Manu 19-Mar-18 21:18
Re: Encoded in PI--- 209 DavidK 20-Mar-18 12:01
Re: Encoded in PI--- 203 Manu 20-Mar-18 20:50
Re: Encoded in PI--- 232 DavidK 22-Mar-18 14:04
Re: Encoded in PI--- 213 magisterchessmutt 28-Mar-18 01:13
Re: Encoded in PI--- 204 DavidK 28-Mar-18 06:55
Re: Encoded in PI--- 193 magisterchessmutt 28-Mar-18 13:38
Re: Encoded in PI--- 192 DavidK 29-Mar-18 11:02
Re: Encoded in PI--- 224 rodz111 30-Mar-18 19:40
Re: Encoded in PI--- 241 DavidK 20-Mar-18 23:26
Re: Encoded in PI--- 194 drew 31-Mar-18 00:30
Re: Encoded in PI No. 33 294 ajfriman 31-Mar-18 19:55
Re: Encoded in PI No. 33 240 PhiPIandI 04-Apr-18 23:29
Re: Encoded in PI No. 33 247 PhiPIandI 09-Apr-18 20:40
Re: Encoded in PI No. 33 193 rodz111 11-Apr-18 18:30
Re: Encoded in PI--- 193 rodz111 12-Apr-18 22:09
Re: Encoded in PI--- 205 rodz111 14-Apr-18 01:03
Re: the astronomical cubit codes the tropical year 239 rodz111 15-Apr-18 20:03
Re: Encoded in PI--- 272 rodz111 17-Apr-18 20:36


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