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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 1957 Jim Alison 15-Nov-19 22:52
DUNE!: Remen : Meridian 153 Poster Boy 16-Nov-19 17:55
Re: DUNE!: Remen : Meridian 138 DUNE 17-Nov-19 09:56
Re: DUNE!: Remen : Meridian 113 Jim Alison 17-Nov-19 23:45
Re: DUNE!: Remen : Meridian 109 Poster Boy 17-Nov-19 23:59
Found it! 145 Poster Boy 18-Nov-19 02:55
Re: Found it! 112 Mercurial 20-Nov-19 11:44
Re: Found it! 99 Jim Alison 20-Nov-19 14:42
Squaring The Circle 114 Dr. Troglodyte 20-Nov-19 18:59
Re: Squaring The Circle 111 Jim Alison 20-Nov-19 20:02
Re: Squaring The Circle 110 Jim Alison 20-Nov-19 20:22
Remen references 120 Lee McGiffen 21-Nov-19 01:59
Re: Remen references 123 Jim Alison 21-Nov-19 04:29
Re: Remen references 94 magisterchessmutt 24-Nov-19 13:56
Re: Remen references 73 Jim Alison 24-Nov-19 20:05
Re: Remen references 90 magisterchessmutt 24-Nov-19 21:17
Re: Remen references 76 magisterchessmutt 25-Nov-19 01:24
Re: Remen references 77 magisterchessmutt 25-Nov-19 12:10
Re: Remen references 103 DUNE 25-Nov-19 13:17
Re: Remen references 48 Jim Alison 16-Jan-20 20:22
Drastic Geodetic Measures and Nippur Cubit 91 thinkitover 25-Nov-19 06:46
Re: Remen references 94 Jim Alison 26-Nov-19 08:04
Re: Remen references 102 Lee McGiffen 27-Nov-19 12:54
Re: Remen references 81 Mercurial 28-Nov-19 22:32
Re: Remen references 107 Jim Alison 01-Dec-19 06:15
Re: Squaring The Circle 125 magisterchessmutt 21-Nov-19 00:47
Re: Squaring The Circle 86 magisterchessmutt 21-Nov-19 02:32
Re: Squaring The Circle 90 Jim Alison 21-Nov-19 05:20
Re: Squaring The Circle 133 magisterchessmutt 21-Nov-19 06:26
Egyptian knowledge of √2 90 Lee McGiffen 22-Nov-19 06:39
Re: Egyptian knowledge of √2 75 magisterchessmutt 23-Nov-19 01:19
Re: Egyptian knowledge of √2 99 thinkitover 23-Nov-19 09:45
Re: Egyptian knowledge of √2 80 magisterchessmutt 23-Nov-19 14:42
Re: Egyptian knowledge of √2 75 Poster Boy 23-Nov-19 16:10
Everything Mick wrote here - 86 pages 87 geoffss 21-Nov-19 10:49
Re: Everything Mick wrote here - 86 pages 81 magisterchessmutt 21-Nov-19 11:54
Re: Squaring The Circle 47 molder 20-Dec-19 12:45
Re: Found it! 94 Mercurial 22-Nov-19 06:48
Re: Found it! 90 magisterchessmutt 22-Nov-19 12:01
Re: Found it! 86 Poster Boy 22-Nov-19 15:24
Re: Found it! 92 magisterchessmutt 22-Nov-19 23:55
Re: Found it! 78 Poster Boy 23-Nov-19 02:06
Re: Found it! 78 magisterchessmutt 23-Nov-19 02:36
Re: Found it! 78 Poster Boy 23-Nov-19 03:37
Re: Found it! 85 DUNE 23-Nov-19 18:42
Re: Found it! 73 Poster Boy 23-Nov-19 19:37
Re: Found it! 82 DUNE 23-Nov-19 20:14
Re: Found it! 73 Poster Boy 23-Nov-19 20:27
Re: Found it! 74 Poster Boy 23-Nov-19 20:46
Re: Found it! 79 DUNE 23-Nov-19 21:37
Re: Found it! 77 Poster Boy 23-Nov-19 21:55
Re: Found it! 81 DUNE 23-Nov-19 22:24
Re: Found it! 74 Poster Boy 23-Nov-19 22:44
Re: Found it! 107 Poster Boy 24-Nov-19 17:44
Re: Found it! 78 DUNE 24-Nov-19 18:29
Re: Found it! 81 Poster Boy 24-Nov-19 18:34
Re: Found it! 78 Poster Boy 23-Nov-19 20:59
Re: Found it! 74 magisterchessmutt 23-Nov-19 19:55
Totally debunked 79 Lee McGiffen 24-Nov-19 05:23
NOT Totally debunked 75 Poster Boy 24-Nov-19 05:41
eg: NOT Totally debunked 87 Poster Boy 24-Nov-19 06:12
Khufu <> Khafre 94 Dr. Troglodyte 23-Nov-19 00:28
Re: Khufu <> Khafre 71 Mercurial 24-Nov-19 19:12
Khufu <> Khafre - Update 34 Dr. Troglodyte 11-Jan-20 19:56
Re: Found it! 94 Jim Alison 23-Nov-19 01:35
Re: DUNE!: Remen : Meridian 94 magisterchessmutt 19-Nov-19 03:45
Re: DUNE!: Remen : Meridian 84 Jim Alison 19-Nov-19 14:05
Re: DUNE!: Remen : Meridian 89 magisterchessmutt 20-Nov-19 00:27
Re: DUNE!: Remen : Meridian 82 Jim Alison 20-Nov-19 15:34
Re: DUNE!: Remen : Meridian 80 magisterchessmutt 19-Nov-19 03:49
Re: DUNE!: Remen : Meridian 85 DUNE 19-Nov-19 10:37
Re: DUNE!: Remen : Meridian 79 Jim Alison 19-Nov-19 14:22
Re: DUNE!: Remen : Meridian 81 DUNE 19-Nov-19 15:37
Re: DUNE!: Remen : Meridian 76 Jim Alison 20-Nov-19 00:44
Re: DUNE!: Remen : Meridian 93 Poster Boy 19-Nov-19 16:43
Re: DUNE!: Remen : Meridian 80 Jim Alison 20-Nov-19 01:07
Re: DUNE!: Remen : Meridian 96 Poster Boy 20-Nov-19 01:38
Re: DUNE!: Remen : Meridian 82 Jim Alison 20-Nov-19 14:28
Where is this leading? 87 Poster Boy 21-Nov-19 17:19
Re: Where is this leading? 87 Lee McGiffen 22-Nov-19 06:49
Re: Remen : Meridian 103 Poster Boy 16-Nov-19 18:00
Re: Remen : Meridian 99 Jim Alison 16-Nov-19 22:09
Excellent! 105 thinkitover 16-Nov-19 18:29
Re: Excellent! 132 Jim Alison 16-Nov-19 22:24
Re: Excellent! 105 Lee McGiffen 18-Nov-19 07:36
Re: Excellent! 107 Jim Alison 18-Nov-19 15:55
Re: Excellent! 102 magisterchessmutt 19-Nov-19 03:57
Re: Remen : Meridian 94 Spiros 20-Nov-19 15:06
Re: Remen : Meridian 85 Spiros 20-Nov-19 19:28
Re: Remen : Meridian 85 Jim Alison 20-Nov-19 20:24
Re: Remen : Meridian 76 Spiros 20-Nov-19 22:25
Re: Remen : Meridian 100 Spiros 20-Nov-19 22:58
Re: Remen : Meridian 84 Spiros 20-Nov-19 23:49
Re: Remen : Meridian 92 Jim Alison 20-Nov-19 23:40
The Earth number 140 hendrik dirker 21-Nov-19 05:48
Re: The Earth number 120 Jim Alison 21-Nov-19 13:15
Re: The Earth number 100 molder 22-Nov-19 19:30
Re: The Earth number 82 Jim Alison 23-Nov-19 01:44
Geometry as Metrology? 100 thinkitover 23-Nov-19 22:56
Re: Geometry as Metrology? 90 magisterchessmutt 24-Nov-19 00:04
Re: Geometry as Metrology? 95 Jim Alison 24-Nov-19 01:16
Re: Geometry as Metrology? 100 magisterchessmutt 24-Nov-19 01:36
Re: Geometry as Metrology? 125 magisterchessmutt 24-Nov-19 01:49
Re: Remen : Meridian 127 magisterchessmutt 24-Nov-19 02:38
Re: Remen : Meridian 89 DavidK 11-Dec-19 23:26
Re: Remen : Meridian 75 DavidK 12-Dec-19 13:23
Re: Remen : Meridian 66 thinkitover 12-Dec-19 18:51
Re: Remen : Meridian 77 DavidK 12-Dec-19 21:27
Re: Remen : Meridian 57 Jiri Mruzek 13-Dec-19 00:55
Re: Remen : Meridian 55 DavidK 13-Dec-19 09:51
Re: Remen : Meridian 58 Jim Alison 13-Dec-19 03:48
Re: Remen : Meridian 58 magisterchessmutt 13-Dec-19 04:58
Re: Remen : Meridian 57 magisterchessmutt 13-Dec-19 05:44
Re: Remen : Meridian 59 DavidK 13-Dec-19 09:58
Re: Remen : Meridian 58 DavidK 13-Dec-19 09:15
Re: Remen : Meridian 52 magisterchessmutt 13-Dec-19 11:02
Re: Remen : Meridian 70 DavidK 13-Dec-19 11:07
Re: Earth circumference 77 drew 17-Dec-19 23:57
Re: Earth circumference 79 DavidK 18-Dec-19 11:29
Re: Earth circumference 83 drew 20-Dec-19 00:22
Re: Earth circumference 68 hendrik dirker 20-Dec-19 06:07
Re: Earth circumference 68 DavidK 20-Dec-19 13:27
Re: Earth circumference 50 hendrik dirker 21-Dec-19 12:48
Re: Earth circumference 60 Jim Alison 20-Dec-19 20:48
Re: Earth circumference 56 hendrik dirker 21-Dec-19 11:44
Re: Earth circumference 52 drew 20-Dec-19 23:48
Re: Remen : Meridian 58 Jim Alison 20-Dec-19 19:26
Re: Remen : Meridian 60 magisterchessmutt 21-Dec-19 01:54
Re: Remen : Meridian 57 Jim Alison 21-Dec-19 04:30
Re: Remen : Meridian 47 magisterchessmutt 21-Dec-19 07:43
Re: Remen : Meridian 51 DavidK 21-Dec-19 10:56
Re: Remen : Meridian 57 magisterchessmutt 21-Dec-19 11:24
Re: Remen : Meridian 51 magisterchessmutt 21-Dec-19 11:48
Re: Remen : Meridian 44 DavidK 21-Dec-19 16:08
Re: Remen : Meridian 67 DavidK 21-Dec-19 12:49
Re: Remen : Meridian 52 Jim Alison 21-Dec-19 15:19
Re: Remen : Meridian 48 molder 21-Dec-19 20:33
Re: Remen : Meridian 46 DavidK 21-Dec-19 23:49
Re: Remen : Meridian 50 Jim Alison 22-Dec-19 03:02
Re: Remen : Meridian 53 DavidK 22-Dec-19 10:30
Re: Roman measures Hang on let us get this right. 52 molder 22-Dec-19 13:03
Re: Roman measures Hang on let us get this right. 49 DavidK 22-Dec-19 15:01
Re: Roman measures Hang on let us get this right. 61 magisterchessmutt 22-Dec-19 17:13
Re: Roman measures Hang on let us get this right. 64 DavidK 22-Dec-19 17:32
Re: Roman measures Hang on let us get this right. 57 Jim Alison 24-Dec-19 05:23
Stecchini's Metrics 55 thinkitover 21-Dec-19 16:01
Re: Stecchini's Metrics 63 magisterchessmutt 21-Dec-19 17:17
Re: Stecchini's Metrics 55 thinkitover 24-Dec-19 15:06
Re: Remen : Meridian 56 drew 23-Dec-19 00:44
Re: Remen : Meridian 56 Jim Alison 23-Dec-19 02:55
Re: Remen : Meridian 65 DavidK 23-Dec-19 12:34
Re: Remen : Meridian 71 Jim Alison 24-Dec-19 01:09
Re: Remen : Meridian 47 drew 27-Dec-19 23:06
Re: Remen : Meridian 56 DavidK 27-Dec-19 23:59
Re: Remen : Meridian 51 drew 28-Dec-19 22:24
Re: Remen : Meridian 90 DavidK 29-Dec-19 00:50
Re: Remen : Meridian 52 Jim Alison 11-Jan-20 03:53
Re: Remen : Meridian 47 DavidK 11-Jan-20 13:54
The Egyptian Remen 14.58333r inches 57 DavidK 11-Jan-20 16:48
Re: Remen : Meridian 39 Jim Alison 22-Jan-20 00:10
Re: Remen : Meridian 28 Mercurial 22-Jan-20 20:59
say hello to rodz? 56 DavidK 11-Jan-20 18:01
Re: say hello to rodz? 41 thinkitover 12-Jan-20 06:03
Re: say hello to rodz? 47 DavidK 12-Jan-20 12:45
Re: say hello to rodz? 46 thinkitover 13-Jan-20 06:41


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