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Lee McGiffen Wrote:
-------------------------------------------------------
> magisterchessmutt Wrote:
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>> 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.

Subject Views Written By Posted
Remen : Meridian 2674 Jim Alison 15-Nov-19 22:52
DUNE!: Remen : Meridian 340 PB Bytes 16-Nov-19 17:55
Re: DUNE!: Remen : Meridian 328 DUNE 17-Nov-19 09:56
Re: DUNE!: Remen : Meridian 307 Jim Alison 17-Nov-19 23:45
Re: DUNE!: Remen : Meridian 307 PB Bytes 17-Nov-19 23:59
Found it! 346 PB Bytes 18-Nov-19 02:55
Re: Found it! 305 Mercurial 20-Nov-19 11:44
Re: Found it! 289 Jim Alison 20-Nov-19 14:42
Squaring The Circle 318 Dr. Troglodyte 20-Nov-19 18:59
Re: Squaring The Circle 311 Jim Alison 20-Nov-19 20:02
Re: Squaring The Circle 302 Jim Alison 20-Nov-19 20:22
Remen references 325 Lee McGiffen 21-Nov-19 01:59
Re: Remen references 326 Jim Alison 21-Nov-19 04:29
Re: Remen references 294 magisterchessmutt 24-Nov-19 13:56
Re: Remen references 263 Jim Alison 24-Nov-19 20:05
Re: Remen references 291 magisterchessmutt 24-Nov-19 21:17
Re: Remen references 272 magisterchessmutt 25-Nov-19 01:24
Re: Remen references 259 magisterchessmutt 25-Nov-19 12:10
Re: Remen references 314 DUNE 25-Nov-19 13:17
Re: Remen references 225 Jim Alison 16-Jan-20 20:22
Drastic Geodetic Measures and Nippur Cubit 309 thinkitover 25-Nov-19 06:46
Re: Remen references 292 Jim Alison 26-Nov-19 08:04
Re: Remen references 326 Lee McGiffen 27-Nov-19 12:54
Re: Remen references 274 Mercurial 28-Nov-19 22:32
Re: Remen references 340 Jim Alison 01-Dec-19 06:15
Re: Squaring The Circle 337 magisterchessmutt 21-Nov-19 00:47
Re: Squaring The Circle 282 magisterchessmutt 21-Nov-19 02:32
Re: Squaring The Circle 274 Jim Alison 21-Nov-19 05:20
Re: Squaring The Circle 351 magisterchessmutt 21-Nov-19 06:26
Egyptian knowledge of √2 274 Lee McGiffen 22-Nov-19 06:39
Re: Egyptian knowledge of √2 246 magisterchessmutt 23-Nov-19 01:19
Re: Egyptian knowledge of √2 299 thinkitover 23-Nov-19 09:45
Re: Egyptian knowledge of √2 263 magisterchessmutt 23-Nov-19 14:42
Re: Egyptian knowledge of √2 257 PB Bytes 23-Nov-19 16:10
Everything Mick wrote here - 86 pages 283 geoffss 21-Nov-19 10:49
Re: Everything Mick wrote here - 86 pages 273 magisterchessmutt 21-Nov-19 11:54
Re: Squaring The Circle 237 molder 20-Dec-19 12:45
Re: Found it! 310 Mercurial 22-Nov-19 06:48
Re: Found it! 273 magisterchessmutt 22-Nov-19 12:01
Re: Found it! 268 PB Bytes 22-Nov-19 15:24
Re: Found it! 308 magisterchessmutt 22-Nov-19 23:55
Re: Found it! 267 PB Bytes 23-Nov-19 02:06
Re: Found it! 260 magisterchessmutt 23-Nov-19 02:36
Re: Found it! 256 PB Bytes 23-Nov-19 03:37
Re: Found it! 266 DUNE 23-Nov-19 18:42
Re: Found it! 249 PB Bytes 23-Nov-19 19:37
Re: Found it! 267 DUNE 23-Nov-19 20:14
Re: Found it! 255 PB Bytes 23-Nov-19 20:27
Re: Found it! 252 PB Bytes 23-Nov-19 20:46
Re: Found it! 256 DUNE 23-Nov-19 21:37
Re: Found it! 259 PB Bytes 23-Nov-19 21:55
Re: Found it! 262 DUNE 23-Nov-19 22:24
Re: Found it! 252 PB Bytes 23-Nov-19 22:44
Re: Found it! 313 PB Bytes 24-Nov-19 17:44
Re: Found it! 269 DUNE 24-Nov-19 18:29
Re: Found it! 275 PB Bytes 24-Nov-19 18:34
Re: Found it! 260 PB Bytes 23-Nov-19 20:59
Re: Found it! 255 magisterchessmutt 23-Nov-19 19:55
Totally debunked 266 Lee McGiffen 24-Nov-19 05:23
NOT Totally debunked 256 PB Bytes 24-Nov-19 05:41
eg: NOT Totally debunked 273 PB Bytes 24-Nov-19 06:12
Khufu <> Khafre 297 Dr. Troglodyte 23-Nov-19 00:28
Re: Khufu <> Khafre 255 Mercurial 24-Nov-19 19:12
Khufu <> Khafre - Update 220 Dr. Troglodyte 11-Jan-20 19:56
Re: Found it! 280 Jim Alison 23-Nov-19 01:35
Re: DUNE!: Remen : Meridian 271 magisterchessmutt 19-Nov-19 03:45
Re: DUNE!: Remen : Meridian 267 Jim Alison 19-Nov-19 14:05
Re: DUNE!: Remen : Meridian 287 magisterchessmutt 20-Nov-19 00:27
Re: DUNE!: Remen : Meridian 268 Jim Alison 20-Nov-19 15:34
Re: DUNE!: Remen : Meridian 267 magisterchessmutt 19-Nov-19 03:49
Re: DUNE!: Remen : Meridian 271 DUNE 19-Nov-19 10:37
Re: DUNE!: Remen : Meridian 267 Jim Alison 19-Nov-19 14:22
Re: DUNE!: Remen : Meridian 260 DUNE 19-Nov-19 15:37
Re: DUNE!: Remen : Meridian 259 Jim Alison 20-Nov-19 00:44
Re: DUNE!: Remen : Meridian 282 PB Bytes 19-Nov-19 16:43
Re: DUNE!: Remen : Meridian 266 Jim Alison 20-Nov-19 01:07
Re: DUNE!: Remen : Meridian 292 PB Bytes 20-Nov-19 01:38
Re: DUNE!: Remen : Meridian 264 Jim Alison 20-Nov-19 14:28
Where is this leading? 272 PB Bytes 21-Nov-19 17:19
Re: Where is this leading? 285 Lee McGiffen 22-Nov-19 06:49
Re: Remen : Meridian 283 PB Bytes 16-Nov-19 18:00
Re: Remen : Meridian 286 Jim Alison 16-Nov-19 22:09
Excellent! 293 thinkitover 16-Nov-19 18:29
Re: Excellent! 330 Jim Alison 16-Nov-19 22:24
Re: Excellent! 319 Lee McGiffen 18-Nov-19 07:36
Re: Excellent! 309 Jim Alison 18-Nov-19 15:55
Re: Excellent! 287 magisterchessmutt 19-Nov-19 03:57
Re: Remen : Meridian 283 Spiros 20-Nov-19 15:06
Re: Remen : Meridian 277 Spiros 20-Nov-19 19:28
Re: Remen : Meridian 274 Jim Alison 20-Nov-19 20:24
Re: Remen : Meridian 268 Spiros 20-Nov-19 22:25
Re: Remen : Meridian 302 Spiros 20-Nov-19 22:58
Re: Remen : Meridian 286 Spiros 20-Nov-19 23:49
Re: Remen : Meridian 274 Jim Alison 20-Nov-19 23:40
The Earth number 347 hendrik dirker 21-Nov-19 05:48
Re: The Earth number 296 Jim Alison 21-Nov-19 13:15
Re: The Earth number 294 molder 22-Nov-19 19:30
Re: The Earth number 267 Jim Alison 23-Nov-19 01:44
Geometry as Metrology? 324 thinkitover 23-Nov-19 22:56
Re: Geometry as Metrology? 283 magisterchessmutt 24-Nov-19 00:04
Re: Geometry as Metrology? 290 Jim Alison 24-Nov-19 01:16
Re: Geometry as Metrology? 322 magisterchessmutt 24-Nov-19 01:36
Re: Geometry as Metrology? 321 magisterchessmutt 24-Nov-19 01:49
Re: Remen : Meridian 425 magisterchessmutt 24-Nov-19 02:38
Re: Remen : Meridian 292 DavidK 11-Dec-19 23:26
Re: Remen : Meridian 277 DavidK 12-Dec-19 13:23
Re: Remen : Meridian 323 thinkitover 12-Dec-19 18:51
Re: Remen : Meridian 298 DavidK 12-Dec-19 21:27
Re: Remen : Meridian 251 Jiri Mruzek 13-Dec-19 00:55
Re: Remen : Meridian 236 DavidK 13-Dec-19 09:51
Re: Remen : Meridian 250 Jim Alison 13-Dec-19 03:48
Re: Remen : Meridian 242 magisterchessmutt 13-Dec-19 04:58
Re: Remen : Meridian 239 magisterchessmutt 13-Dec-19 05:44
Re: Remen : Meridian 238 DavidK 13-Dec-19 09:58
Re: Remen : Meridian 243 DavidK 13-Dec-19 09:15
Re: Remen : Meridian 244 magisterchessmutt 13-Dec-19 11:02
Re: Remen : Meridian 261 DavidK 13-Dec-19 11:07
Re: Earth circumference 320 drew 17-Dec-19 23:57
Re: Earth circumference 301 DavidK 18-Dec-19 11:29
Re: Earth circumference 266 drew 20-Dec-19 00:22
Re: Earth circumference 276 hendrik dirker 20-Dec-19 06:07
Re: Earth circumference 250 DavidK 20-Dec-19 13:27
Re: Earth circumference 240 hendrik dirker 21-Dec-19 12:48
Re: Earth circumference 252 Jim Alison 20-Dec-19 20:48
Re: Earth circumference 254 hendrik dirker 21-Dec-19 11:44
Re: Earth circumference 231 drew 20-Dec-19 23:48
Re: Remen : Meridian 240 Jim Alison 20-Dec-19 19:26
Re: Remen : Meridian 238 magisterchessmutt 21-Dec-19 01:54
Re: Remen : Meridian 244 Jim Alison 21-Dec-19 04:30
Re: Remen : Meridian 241 magisterchessmutt 21-Dec-19 07:43
Re: Remen : Meridian 237 DavidK 21-Dec-19 10:56
Re: Remen : Meridian 239 magisterchessmutt 21-Dec-19 11:24
Re: Remen : Meridian 231 magisterchessmutt 21-Dec-19 11:48
Re: Remen : Meridian 223 DavidK 21-Dec-19 16:08
Re: Remen : Meridian 255 DavidK 21-Dec-19 12:49
Re: Remen : Meridian 239 Jim Alison 21-Dec-19 15:19
Re: Remen : Meridian 231 molder 21-Dec-19 20:33
Re: Remen : Meridian 228 DavidK 21-Dec-19 23:49
Re: Remen : Meridian 225 Jim Alison 22-Dec-19 03:02
Re: Remen : Meridian 223 DavidK 22-Dec-19 10:30
Re: Roman measures Hang on let us get this right. 237 molder 22-Dec-19 13:03
Re: Roman measures Hang on let us get this right. 230 DavidK 22-Dec-19 15:01
Re: Roman measures Hang on let us get this right. 234 magisterchessmutt 22-Dec-19 17:13
Re: Roman measures Hang on let us get this right. 240 DavidK 22-Dec-19 17:32
Re: Roman measures Hang on let us get this right. 235 Jim Alison 24-Dec-19 05:23
Stecchini's Metrics 233 thinkitover 21-Dec-19 16:01
Re: Stecchini's Metrics 235 magisterchessmutt 21-Dec-19 17:17
Re: Stecchini's Metrics 238 thinkitover 24-Dec-19 15:06
Re: Remen : Meridian 237 drew 23-Dec-19 00:44
Re: Remen : Meridian 229 Jim Alison 23-Dec-19 02:55
Re: Remen : Meridian 248 DavidK 23-Dec-19 12:34
Re: Remen : Meridian 249 Jim Alison 24-Dec-19 01:09
Re: Remen : Meridian 227 drew 27-Dec-19 23:06
Re: Remen : Meridian 246 DavidK 27-Dec-19 23:59
Re: Remen : Meridian 243 drew 28-Dec-19 22:24
Re: Remen : Meridian 303 DavidK 29-Dec-19 00:50
Re: Remen : Meridian 205 Jim Alison 19-Apr-20 18:46
Re: Remen : Meridian 184 drew 22-Apr-20 23:44
Re: Remen : Meridian 200 magisterchessmutt 23-Apr-20 13:03
Re: Remen : Meridian 208 magisterchessmutt 24-Apr-20 08:14
Re: Remen : Meridian 231 Jim Alison 11-Jan-20 03:53
Re: Remen : Meridian 224 DavidK 11-Jan-20 13:54
The Egyptian Remen 14.58333r inches 391 DavidK 11-Jan-20 16:48
Re: Remen : Meridian 225 Jim Alison 22-Jan-20 00:10
Re: Remen : Meridian 214 Mercurial 22-Jan-20 20:59
say hello to rodz? 243 DavidK 11-Jan-20 18:01
Re: say hello to rodz? 228 thinkitover 12-Jan-20 06:03
Re: say hello to rodz? 233 DavidK 12-Jan-20 12:45
Re: say hello to rodz? 312 thinkitover 13-Jan-20 06:41
Re: Remen : Meridian 260 akitu 24-Apr-20 19:26

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