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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--- 1510 PhiPIandI 16-Mar-18 03:13
Re: Encoded in PI--- 282 PhiPIandI 16-Mar-18 03:40
Re: Encoded in PI--- 257 M. J. Thomas 16-Mar-18 06:51
Re: Encoded in PI---EGYPT & PI & Moon 270 PhiPIandI 16-Mar-18 11:37
Really? 219 Sirfiroth 16-Mar-18 13:51
Re: Encoded in PI---EGYPT & PI & Moon 220 M. J. Thomas 16-Mar-18 19:01
Re: Encoded in PI---EGYPT & PI & Moon 158 cladking 16-Mar-18 20:50
Re: Encoded in PI---EGYPT & PI & Moon 211 Manu 16-Mar-18 21:11
Re: Encoded in PI---EGYPT & PI & Moon 190 molder 16-Mar-18 22:46
Re: Encoded in PI---EGYPT & PI & Moon 183 molder 17-Mar-18 04:11
Re: Encoded in PI---EGYPT & PI & Moon 217 Manu 17-Mar-18 16:29
Re: Encoded in PI---EGYPT & PI & Moon 180 M. J. Thomas 17-Mar-18 16:51
Re: Encoded in PI---EGYPT & PI & Moon 168 Sirfiroth 17-Mar-18 18:29
Re: Encoded in PI---EGYPT & PI & Moon 186 M. J. Thomas 17-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 183 Sirfiroth 17-Mar-18 20:33
Re: Encoded in PI---EGYPT & PI & Moon 179 M. J. Thomas 17-Mar-18 21:27
Re: Encoded in PI---EGYPT & PI & Moon 223 M. J. Thomas 17-Mar-18 08:48
Re: Encoded in PI---EGYPT & PI & Moon 204 cladking 17-Mar-18 13:47
Re: Encoded in PI---EGYPT & PI & Moon 161 molder 18-Mar-18 12:47
Re: Encoded in PI---EGYPT & PI & Moon 162 Manu 18-Mar-18 16:40
Re: Encoded in PI---EGYPT & PI & Moon 170 M. J. Thomas 18-Mar-18 17:09
Re: Encoded in PI---EGYPT & PI & Moon 211 Manu 18-Mar-18 19:18
Re: Encoded in PI---EGYPT & PI & Moon 206 M. J. Thomas 19-Mar-18 10:49
Re: Encoded in PI---EGYPT & PI & Moon 197 DavidK 19-Mar-18 11:28
Re: Encoded in PI---EGYPT & PI & Moon 190 Manu 19-Mar-18 14:19
Re: Encoded in PI---EGYPT & PI & Moon 155 M. J. Thomas 19-Mar-18 17:49
Re: Encoded in PI---EGYPT & PI & Moon 175 Manu 19-Mar-18 18:14
Re: Encoded in PI---EGYPT & PI & Moon 163 M. J. Thomas 19-Mar-18 18:49
Re: Encoded in PI---EGYPT & PI & Moon 148 Manu 19-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 171 Audrey 20-Mar-18 01:06
Re: Encoded in PI---EGYPT & PI & Moon 169 molder 19-Mar-18 05:12
Harold @ "2-Pi-R" 191 Dr. Troglodyte 16-Mar-18 16:18
Re: Harold @ "2-Pi-R" 208 MDaines 16-Mar-18 17:19
Re: Encoded in PI--- 164 cladking 16-Mar-18 16:28
Re: Encoded in PI--- 196 Manu 16-Mar-18 16:45
Re: Encoded in PI--- 185 DavidK 18-Mar-18 01:19
Re: Encoded in PI--- 235 PhiPIandI 18-Mar-18 04:08
Re: Encoded in PI--- 188 M. J. Thomas 18-Mar-18 08:41
Re: Encoded in PI--- 166 DavidK 18-Mar-18 12:19
Re: Encoded in PI--- 155 M. J. Thomas 18-Mar-18 16:13
Re: Encoded in PI--- 170 DavidK 18-Mar-18 17:00
Re: Encoded in PI--- 317 rodz111 18-Mar-18 04:58
Re: Encoded in PI--- 183 M. J. Thomas 18-Mar-18 16:21
Re: Encoded in PI--- 139 DavidK 18-Mar-18 17:22
Re: Encoded in PI--- 342 rodz111 25-Mar-18 19:44
Re: Encoded in PI--- 181 molder 25-Mar-18 21:53
Re: Encoded in PI--- 194 rodz111 18-Mar-18 17:26
Re: Encoded in PI--- 187 M. J. Thomas 18-Mar-18 17:55
Re: Encoded in PI--- 189 DavidK 19-Mar-18 09:40
Re: Encoded in PI--- 167 Manu 19-Mar-18 19:21
Re: Encoded in PI--- 174 DavidK 19-Mar-18 20:12
Re: Encoded in PI--- 178 Manu 19-Mar-18 20:49
Re: Encoded in PI--- 162 M. J. Thomas 20-Mar-18 01:24
Re: Encoded in PI--- 205 Manu 20-Mar-18 03:10
Re: Encoded in PI--- 139 DavidK 19-Mar-18 20:58
Re: Encoded in PI--- 203 Manu 19-Mar-18 21:18
Re: Encoded in PI--- 196 DavidK 20-Mar-18 12:01
Re: Encoded in PI--- 188 Manu 20-Mar-18 20:50
Re: Encoded in PI--- 215 DavidK 22-Mar-18 14:04
Re: Encoded in PI--- 194 magisterchessmutt 28-Mar-18 01:13
Re: Encoded in PI--- 178 DavidK 28-Mar-18 06:55
Re: Encoded in PI--- 180 magisterchessmutt 28-Mar-18 13:38
Re: Encoded in PI--- 180 DavidK 29-Mar-18 11:02
Re: Encoded in PI--- 203 rodz111 30-Mar-18 19:40
Re: Encoded in PI--- 225 DavidK 20-Mar-18 23:26
Re: Encoded in PI--- 181 drew 31-Mar-18 00:30
Re: Encoded in PI No. 33 272 ajfriman 31-Mar-18 19:55
Re: Encoded in PI No. 33 230 PhiPIandI 04-Apr-18 23:29
Re: Encoded in PI No. 33 239 PhiPIandI 09-Apr-18 20:40
Re: Encoded in PI No. 33 184 rodz111 11-Apr-18 18:30
Re: Encoded in PI--- 179 rodz111 12-Apr-18 22:09
Re: Encoded in PI--- 197 rodz111 14-Apr-18 01:03
Re: the astronomical cubit codes the tropical year 223 rodz111 15-Apr-18 20:03
Re: Encoded in PI--- 259 rodz111 17-Apr-18 20:36


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