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Lee McGiffen Wrote:
-------------------------------------------------------
> magisterchessmutt Wrote:
-------------------------------------------------------
>> However, as to which unit came 1st.
>> and for what objective, I have no way of knowing
>> for certain. It's use in area measurement work
>> would be very handy in right triangle trigonomic
>> calculations.
>
> While I believe the Egyptians knew of √2 and
> that it was formed by the diagonal of a square of
> sides 1 unit, the remen only gives √2 values of
> 10/7 and 7/5, which, while useful on smaller
> projects, are much too crude for large-scale
> projects such as land surveying and pyramid
> construction.

I do agree with the last part of that and I appreciate anyone stating that.

I suppose this will turn out to be more emphasis on my working premise that this math and metrology began with calendars and counting days (365 / 3 = 121.66666666 = ~100 Remen of 1.216733603 in feet, hence if so the Cubit is very likely descended from the Remen since it otherwise probably takes more work to eke the Cubit value from the "heavens" that way)*, but I work with at least several approximations of sqrt 2 that can be directly derived from values I use for the Venus Orbital Period. Disregarding correct decimal placement,

1 / (225.0000000 x Pi) = 1.414710605 = 2 / 1.413716694 = 2 / (45 x Pi)
1 / (224.8373808 x Pi) = 1.415733839 = 2 / 1.412694928 = 12 / 1.177245771

In my realm these are a strange fact of life and mathematics because the relationships between mathematically ideal forms of metrological units aren't necessarily geometrically ideal, and the sqrt 2 function of course is a function of geometry. One or more important cases in point,

1.718873385 / 1.216733603 = 1.412694924

2.720174976 / 1.216733604 = 2.235637258 = sqrt 5 to .999807376 = ht Cheops pyramid missing apex section / 8 / 10 as I customarily describe the pyramidion or missing section.

Frankly, at the level of exactitude that many work at, I don't really know what's to stop anyone from identifying the Royal Cubit in feet as sqrt 3 itself (I think I've seen several do this) and then perhaps proceed to declare that since this is about the diagonal of a cube with sides of one foot, that this is evidence of ancient use of the modern foot. I could even be more or less among their number myself before I am finished.

* (Mars Orbital Period 686.971 days / 4 = 1.717427500 x 100, 687 / 4 = 1.717500000; Saturn Synodic Period 378.09 days / 22 = 1.718590909 x 100, 378 / 22 = 1.718181818 x 100.

364 / 21 = 17.33333333, 225 / 13 = 17.30769231, 260 / 15 = 17.33333333, but that might be about where that one runs out of steam, and it's already doing the "Mayan thing" of making 364 out of 365 just to have that much homogeneity).

On the other hand, it may also be counterproductive to assume that there was only a singular value for something such as a metrological unit, or a link between metrological units.

Multiple values may also depend on various formulas that someone might choose from, of course.

Since John Michell has come up in this thread, for what it's worth,

Dimensions of Paradise, pages 114 and 116:

"1000 Roman Miles = 4866048 = 3168 x 1536 feet"

Ever since I started working with the math I use, the inner diameter of the Stonehenge sarcen circle has been given as 48.6693441 feet ((sqrt 240) x Pi), or 40 Remens of 1.216733603 ft

For Michell's figure 4866048, 4866048 / 40 = 1.216512 ft x 10^n.

This is the same as the 1.216733603 figure I use to .99981787, even when Michell's data would be considered raw by my usual standards.

On pages 106 and 115 he gives the Roman mile as 48384 = 504 x 96 ft (48384 / 40 = 1.20690); on page 116 he describes 4866048 and related figures as "the longer values" for these units.

While I'm on the subject, I'm always very pleased to read comments like the ones on page 114 about the foot such as "the foot is the medium that shows up the numerical framework behind the values and ratios of the odd units and allows them to be defined accurately in accordance with reason. Although it appears to stand apart from the other units, the foot in is fact the bond that unites them and makes them systematically coherent."

I'm not sure I'd have put it much differently, and I'm not sure I could have put it any better.

I might want to say the same thing about the 5280 foot mile, that it "appears to stand apart from the other units, the foot in is fact the bond that unites them and makes them systematically coherent". I have never been able to directly relate this value to other units in any satisfactory manner, but the 5280 foot value does splendid things with earth measures at a ratio of (metrological unit): mile.

I have some values near to 5280, but I think it's bad enough the way measuring a large pyramid magnifies small discrepancies in metrological units, let alone measuring something as large as a planet. Those near-5280 values seem more like metrological adapters than useful values in themselves.



Edited 2 time(s). Last edit at 23-Nov-19 23:19 by thinkitover.

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Subject Views Written By Posted
Remen : Meridian 2318 Jim Alison 15-Nov-19 22:52
DUNE!: Remen : Meridian 226 PB Bytes 16-Nov-19 17:55
Re: DUNE!: Remen : Meridian 211 DUNE 17-Nov-19 09:56
Re: DUNE!: Remen : Meridian 183 Jim Alison 17-Nov-19 23:45
Re: DUNE!: Remen : Meridian 188 PB Bytes 17-Nov-19 23:59
Found it! 231 PB Bytes 18-Nov-19 02:55
Re: Found it! 189 Mercurial 20-Nov-19 11:44
Re: Found it! 168 Jim Alison 20-Nov-19 14:42
Squaring The Circle 199 Dr. Troglodyte 20-Nov-19 18:59
Re: Squaring The Circle 193 Jim Alison 20-Nov-19 20:02
Re: Squaring The Circle 182 Jim Alison 20-Nov-19 20:22
Remen references 200 Lee McGiffen 21-Nov-19 01:59
Re: Remen references 204 Jim Alison 21-Nov-19 04:29
Re: Remen references 173 magisterchessmutt 24-Nov-19 13:56
Re: Remen references 144 Jim Alison 24-Nov-19 20:05
Re: Remen references 161 magisterchessmutt 24-Nov-19 21:17
Re: Remen references 145 magisterchessmutt 25-Nov-19 01:24
Re: Remen references 144 magisterchessmutt 25-Nov-19 12:10
Re: Remen references 183 DUNE 25-Nov-19 13:17
Re: Remen references 117 Jim Alison 16-Jan-20 20:22
Drastic Geodetic Measures and Nippur Cubit 186 thinkitover 25-Nov-19 06:46
Re: Remen references 171 Jim Alison 26-Nov-19 08:04
Re: Remen references 195 Lee McGiffen 27-Nov-19 12:54
Re: Remen references 151 Mercurial 28-Nov-19 22:32
Re: Remen references 203 Jim Alison 01-Dec-19 06:15
Re: Squaring The Circle 205 magisterchessmutt 21-Nov-19 00:47
Re: Squaring The Circle 161 magisterchessmutt 21-Nov-19 02:32
Re: Squaring The Circle 158 Jim Alison 21-Nov-19 05:20
Re: Squaring The Circle 221 magisterchessmutt 21-Nov-19 06:26
Egyptian knowledge of √2 161 Lee McGiffen 22-Nov-19 06:39
Re: Egyptian knowledge of √2 141 magisterchessmutt 23-Nov-19 01:19
Re: Egyptian knowledge of √2 175 thinkitover 23-Nov-19 09:45
Re: Egyptian knowledge of √2 149 magisterchessmutt 23-Nov-19 14:42
Re: Egyptian knowledge of √2 144 PB Bytes 23-Nov-19 16:10
Everything Mick wrote here - 86 pages 155 geoffss 21-Nov-19 10:49
Re: Everything Mick wrote here - 86 pages 152 magisterchessmutt 21-Nov-19 11:54
Re: Squaring The Circle 120 molder 20-Dec-19 12:45
Re: Found it! 175 Mercurial 22-Nov-19 06:48
Re: Found it! 162 magisterchessmutt 22-Nov-19 12:01
Re: Found it! 157 PB Bytes 22-Nov-19 15:24
Re: Found it! 188 magisterchessmutt 22-Nov-19 23:55
Re: Found it! 151 PB Bytes 23-Nov-19 02:06
Re: Found it! 150 magisterchessmutt 23-Nov-19 02:36
Re: Found it! 150 PB Bytes 23-Nov-19 03:37
Re: Found it! 153 DUNE 23-Nov-19 18:42
Re: Found it! 140 PB Bytes 23-Nov-19 19:37
Re: Found it! 151 DUNE 23-Nov-19 20:14
Re: Found it! 141 PB Bytes 23-Nov-19 20:27
Re: Found it! 141 PB Bytes 23-Nov-19 20:46
Re: Found it! 148 DUNE 23-Nov-19 21:37
Re: Found it! 147 PB Bytes 23-Nov-19 21:55
Re: Found it! 153 DUNE 23-Nov-19 22:24
Re: Found it! 144 PB Bytes 23-Nov-19 22:44
Re: Found it! 199 PB Bytes 24-Nov-19 17:44
Re: Found it! 156 DUNE 24-Nov-19 18:29
Re: Found it! 156 PB Bytes 24-Nov-19 18:34
Re: Found it! 151 PB Bytes 23-Nov-19 20:59
Re: Found it! 147 magisterchessmutt 23-Nov-19 19:55
Totally debunked 151 Lee McGiffen 24-Nov-19 05:23
NOT Totally debunked 144 PB Bytes 24-Nov-19 05:41
eg: NOT Totally debunked 154 PB Bytes 24-Nov-19 06:12
Khufu <> Khafre 168 Dr. Troglodyte 23-Nov-19 00:28
Re: Khufu <> Khafre 144 Mercurial 24-Nov-19 19:12
Khufu <> Khafre - Update 103 Dr. Troglodyte 11-Jan-20 19:56
Re: Found it! 166 Jim Alison 23-Nov-19 01:35
Re: DUNE!: Remen : Meridian 161 magisterchessmutt 19-Nov-19 03:45
Re: DUNE!: Remen : Meridian 153 Jim Alison 19-Nov-19 14:05
Re: DUNE!: Remen : Meridian 157 magisterchessmutt 20-Nov-19 00:27
Re: DUNE!: Remen : Meridian 151 Jim Alison 20-Nov-19 15:34
Re: DUNE!: Remen : Meridian 146 magisterchessmutt 19-Nov-19 03:49
Re: DUNE!: Remen : Meridian 155 DUNE 19-Nov-19 10:37
Re: DUNE!: Remen : Meridian 152 Jim Alison 19-Nov-19 14:22
Re: DUNE!: Remen : Meridian 151 DUNE 19-Nov-19 15:37
Re: DUNE!: Remen : Meridian 145 Jim Alison 20-Nov-19 00:44
Re: DUNE!: Remen : Meridian 163 PB Bytes 19-Nov-19 16:43
Re: DUNE!: Remen : Meridian 149 Jim Alison 20-Nov-19 01:07
Re: DUNE!: Remen : Meridian 170 PB Bytes 20-Nov-19 01:38
Re: DUNE!: Remen : Meridian 150 Jim Alison 20-Nov-19 14:28
Where is this leading? 158 PB Bytes 21-Nov-19 17:19
Re: Where is this leading? 163 Lee McGiffen 22-Nov-19 06:49
Re: Remen : Meridian 170 PB Bytes 16-Nov-19 18:00
Re: Remen : Meridian 169 Jim Alison 16-Nov-19 22:09
Excellent! 176 thinkitover 16-Nov-19 18:29
Re: Excellent! 207 Jim Alison 16-Nov-19 22:24
Re: Excellent! 178 Lee McGiffen 18-Nov-19 07:36
Re: Excellent! 184 Jim Alison 18-Nov-19 15:55
Re: Excellent! 174 magisterchessmutt 19-Nov-19 03:57
Re: Remen : Meridian 167 Spiros 20-Nov-19 15:06
Re: Remen : Meridian 159 Spiros 20-Nov-19 19:28
Re: Remen : Meridian 155 Jim Alison 20-Nov-19 20:24
Re: Remen : Meridian 149 Spiros 20-Nov-19 22:25
Re: Remen : Meridian 185 Spiros 20-Nov-19 22:58
Re: Remen : Meridian 159 Spiros 20-Nov-19 23:49
Re: Remen : Meridian 160 Jim Alison 20-Nov-19 23:40
The Earth number 214 hendrik dirker 21-Nov-19 05:48
Re: The Earth number 186 Jim Alison 21-Nov-19 13:15
Re: The Earth number 168 molder 22-Nov-19 19:30
Re: The Earth number 152 Jim Alison 23-Nov-19 01:44
Geometry as Metrology? 178 thinkitover 23-Nov-19 22:56
Re: Geometry as Metrology? 166 magisterchessmutt 24-Nov-19 00:04
Re: Geometry as Metrology? 170 Jim Alison 24-Nov-19 01:16
Re: Geometry as Metrology? 192 magisterchessmutt 24-Nov-19 01:36
Re: Geometry as Metrology? 200 magisterchessmutt 24-Nov-19 01:49
Re: Remen : Meridian 236 magisterchessmutt 24-Nov-19 02:38
Re: Remen : Meridian 171 DavidK 11-Dec-19 23:26
Re: Remen : Meridian 152 DavidK 12-Dec-19 13:23
Re: Remen : Meridian 160 thinkitover 12-Dec-19 18:51
Re: Remen : Meridian 177 DavidK 12-Dec-19 21:27
Re: Remen : Meridian 131 Jiri Mruzek 13-Dec-19 00:55
Re: Remen : Meridian 123 DavidK 13-Dec-19 09:51
Re: Remen : Meridian 132 Jim Alison 13-Dec-19 03:48
Re: Remen : Meridian 124 magisterchessmutt 13-Dec-19 04:58
Re: Remen : Meridian 124 magisterchessmutt 13-Dec-19 05:44
Re: Remen : Meridian 127 DavidK 13-Dec-19 09:58
Re: Remen : Meridian 128 DavidK 13-Dec-19 09:15
Re: Remen : Meridian 123 magisterchessmutt 13-Dec-19 11:02
Re: Remen : Meridian 140 DavidK 13-Dec-19 11:07
Re: Earth circumference 154 drew 17-Dec-19 23:57
Re: Earth circumference 160 DavidK 18-Dec-19 11:29
Re: Earth circumference 155 drew 20-Dec-19 00:22
Re: Earth circumference 145 hendrik dirker 20-Dec-19 06:07
Re: Earth circumference 138 DavidK 20-Dec-19 13:27
Re: Earth circumference 123 hendrik dirker 21-Dec-19 12:48
Re: Earth circumference 132 Jim Alison 20-Dec-19 20:48
Re: Earth circumference 136 hendrik dirker 21-Dec-19 11:44
Re: Earth circumference 121 drew 20-Dec-19 23:48
Re: Remen : Meridian 128 Jim Alison 20-Dec-19 19:26
Re: Remen : Meridian 129 magisterchessmutt 21-Dec-19 01:54
Re: Remen : Meridian 128 Jim Alison 21-Dec-19 04:30
Re: Remen : Meridian 120 magisterchessmutt 21-Dec-19 07:43
Re: Remen : Meridian 122 DavidK 21-Dec-19 10:56
Re: Remen : Meridian 126 magisterchessmutt 21-Dec-19 11:24
Re: Remen : Meridian 120 magisterchessmutt 21-Dec-19 11:48
Re: Remen : Meridian 115 DavidK 21-Dec-19 16:08
Re: Remen : Meridian 139 DavidK 21-Dec-19 12:49
Re: Remen : Meridian 122 Jim Alison 21-Dec-19 15:19
Re: Remen : Meridian 121 molder 21-Dec-19 20:33
Re: Remen : Meridian 112 DavidK 21-Dec-19 23:49
Re: Remen : Meridian 121 Jim Alison 22-Dec-19 03:02
Re: Remen : Meridian 118 DavidK 22-Dec-19 10:30
Re: Roman measures Hang on let us get this right. 122 molder 22-Dec-19 13:03
Re: Roman measures Hang on let us get this right. 116 DavidK 22-Dec-19 15:01
Re: Roman measures Hang on let us get this right. 127 magisterchessmutt 22-Dec-19 17:13
Re: Roman measures Hang on let us get this right. 132 DavidK 22-Dec-19 17:32
Re: Roman measures Hang on let us get this right. 125 Jim Alison 24-Dec-19 05:23
Stecchini's Metrics 123 thinkitover 21-Dec-19 16:01
Re: Stecchini's Metrics 130 magisterchessmutt 21-Dec-19 17:17
Re: Stecchini's Metrics 123 thinkitover 24-Dec-19 15:06
Re: Remen : Meridian 127 drew 23-Dec-19 00:44
Re: Remen : Meridian 124 Jim Alison 23-Dec-19 02:55
Re: Remen : Meridian 137 DavidK 23-Dec-19 12:34
Re: Remen : Meridian 139 Jim Alison 24-Dec-19 01:09
Re: Remen : Meridian 119 drew 27-Dec-19 23:06
Re: Remen : Meridian 133 DavidK 27-Dec-19 23:59
Re: Remen : Meridian 130 drew 28-Dec-19 22:24
Re: Remen : Meridian 172 DavidK 29-Dec-19 00:50
Re: Remen : Meridian 88 Jim Alison 19-Apr-20 18:46
Re: Remen : Meridian 67 drew 22-Apr-20 23:44
Re: Remen : Meridian 79 magisterchessmutt 23-Apr-20 13:03
Re: Remen : Meridian 83 magisterchessmutt 24-Apr-20 08:14
Re: Remen : Meridian 122 Jim Alison 11-Jan-20 03:53
Re: Remen : Meridian 112 DavidK 11-Jan-20 13:54
The Egyptian Remen 14.58333r inches 144 DavidK 11-Jan-20 16:48
Re: Remen : Meridian 110 Jim Alison 22-Jan-20 00:10
Re: Remen : Meridian 111 Mercurial 22-Jan-20 20:59
say hello to rodz? 131 DavidK 11-Jan-20 18:01
Re: say hello to rodz? 112 thinkitover 12-Jan-20 06:03
Re: say hello to rodz? 122 DavidK 12-Jan-20 12:45
Re: say hello to rodz? 144 thinkitover 13-Jan-20 06:41
Re: Remen : Meridian 109 akitu 24-Apr-20 19:26


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