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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--- 1447 PhiPIandI 16-Mar-18 03:13
Re: Encoded in PI--- 247 PhiPIandI 16-Mar-18 03:40
Re: Encoded in PI--- 235 M. J. Thomas 16-Mar-18 06:51
Re: Encoded in PI---EGYPT & PI & Moon 232 PhiPIandI 16-Mar-18 11:37
Really? 196 Sirfiroth 16-Mar-18 13:51
Re: Encoded in PI---EGYPT & PI & Moon 199 M. J. Thomas 16-Mar-18 19:01
Re: Encoded in PI---EGYPT & PI & Moon 143 cladking 16-Mar-18 20:50
Re: Encoded in PI---EGYPT & PI & Moon 192 Manu 16-Mar-18 21:11
Re: Encoded in PI---EGYPT & PI & Moon 171 molder 16-Mar-18 22:46
Re: Encoded in PI---EGYPT & PI & Moon 165 molder 17-Mar-18 04:11
Re: Encoded in PI---EGYPT & PI & Moon 189 Manu 17-Mar-18 16:29
Re: Encoded in PI---EGYPT & PI & Moon 156 M. J. Thomas 17-Mar-18 16:51
Re: Encoded in PI---EGYPT & PI & Moon 152 Sirfiroth 17-Mar-18 18:29
Re: Encoded in PI---EGYPT & PI & Moon 162 M. J. Thomas 17-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 161 Sirfiroth 17-Mar-18 20:33
Re: Encoded in PI---EGYPT & PI & Moon 162 M. J. Thomas 17-Mar-18 21:27
Re: Encoded in PI---EGYPT & PI & Moon 203 M. J. Thomas 17-Mar-18 08:48
Re: Encoded in PI---EGYPT & PI & Moon 183 cladking 17-Mar-18 13:47
Re: Encoded in PI---EGYPT & PI & Moon 140 molder 18-Mar-18 12:47
Re: Encoded in PI---EGYPT & PI & Moon 145 Manu 18-Mar-18 16:40
Re: Encoded in PI---EGYPT & PI & Moon 148 M. J. Thomas 18-Mar-18 17:09
Re: Encoded in PI---EGYPT & PI & Moon 187 Manu 18-Mar-18 19:18
Re: Encoded in PI---EGYPT & PI & Moon 188 M. J. Thomas 19-Mar-18 10:49
Re: Encoded in PI---EGYPT & PI & Moon 176 DavidK 19-Mar-18 11:28
Re: Encoded in PI---EGYPT & PI & Moon 171 Manu 19-Mar-18 14:19
Re: Encoded in PI---EGYPT & PI & Moon 133 M. J. Thomas 19-Mar-18 17:49
Re: Encoded in PI---EGYPT & PI & Moon 157 Manu 19-Mar-18 18:14
Re: Encoded in PI---EGYPT & PI & Moon 138 M. J. Thomas 19-Mar-18 18:49
Re: Encoded in PI---EGYPT & PI & Moon 130 Manu 19-Mar-18 19:05
Re: Encoded in PI---EGYPT & PI & Moon 145 Audrey 20-Mar-18 01:06
Re: Encoded in PI---EGYPT & PI & Moon 151 molder 19-Mar-18 05:12
Harold @ "2-Pi-R" 173 Dr. Troglodyte 16-Mar-18 16:18
Re: Harold @ "2-Pi-R" 179 MDaines 16-Mar-18 17:19
Re: Encoded in PI--- 152 cladking 16-Mar-18 16:28
Re: Encoded in PI--- 175 Manu 16-Mar-18 16:45
Re: Encoded in PI--- 169 DavidK 18-Mar-18 01:19
Re: Encoded in PI--- 190 PhiPIandI 18-Mar-18 04:08
Re: Encoded in PI--- 167 M. J. Thomas 18-Mar-18 08:41
Re: Encoded in PI--- 146 DavidK 18-Mar-18 12:19
Re: Encoded in PI--- 134 M. J. Thomas 18-Mar-18 16:13
Re: Encoded in PI--- 143 DavidK 18-Mar-18 17:00
Re: Encoded in PI--- 275 rodz111 18-Mar-18 04:58
Re: Encoded in PI--- 161 M. J. Thomas 18-Mar-18 16:21
Re: Encoded in PI--- 125 DavidK 18-Mar-18 17:22
Re: Encoded in PI--- 317 rodz111 25-Mar-18 19:44
Re: Encoded in PI--- 157 molder 25-Mar-18 21:53
Re: Encoded in PI--- 176 rodz111 18-Mar-18 17:26
Re: Encoded in PI--- 164 M. J. Thomas 18-Mar-18 17:55
Re: Encoded in PI--- 167 DavidK 19-Mar-18 09:40
Re: Encoded in PI--- 142 Manu 19-Mar-18 19:21
Re: Encoded in PI--- 151 DavidK 19-Mar-18 20:12
Re: Encoded in PI--- 157 Manu 19-Mar-18 20:49
Re: Encoded in PI--- 141 M. J. Thomas 20-Mar-18 01:24
Re: Encoded in PI--- 184 Manu 20-Mar-18 03:10
Re: Encoded in PI--- 121 DavidK 19-Mar-18 20:58
Re: Encoded in PI--- 181 Manu 19-Mar-18 21:18
Re: Encoded in PI--- 170 DavidK 20-Mar-18 12:01
Re: Encoded in PI--- 172 Manu 20-Mar-18 20:50
Re: Encoded in PI--- 192 DavidK 22-Mar-18 14:04
Re: Encoded in PI--- 160 magisterchessmutt 28-Mar-18 01:13
Re: Encoded in PI--- 156 DavidK 28-Mar-18 06:55
Re: Encoded in PI--- 158 magisterchessmutt 28-Mar-18 13:38
Re: Encoded in PI--- 160 DavidK 29-Mar-18 11:02
Re: Encoded in PI--- 179 rodz111 30-Mar-18 19:40
Re: Encoded in PI--- 205 DavidK 20-Mar-18 23:26
Re: Encoded in PI--- 161 drew 31-Mar-18 00:30
Re: Encoded in PI No. 33 223 ajfriman 31-Mar-18 19:55
Re: Encoded in PI No. 33 185 PhiPIandI 04-Apr-18 23:29
Re: Encoded in PI No. 33 208 PhiPIandI 09-Apr-18 20:40
Re: Encoded in PI No. 33 164 rodz111 11-Apr-18 18:30
Re: Encoded in PI--- 154 rodz111 12-Apr-18 22:09
Re: Encoded in PI--- 172 rodz111 14-Apr-18 01:03
Re: the astronomical cubit codes the tropical year 193 rodz111 15-Apr-18 20:03
Re: Encoded in PI--- 231 rodz111 17-Apr-18 20:36


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