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I made it to 11.35 last night later heard fireworks thought I was dreaming. My wife left me on the couch.

Did the ancients do decimals I think this an important point.

1st yes they did in the Indus Valley.

Quote 'From The Roots of Ancient India, The Archaeology of Early Indian Civilisation, second edition, revised by Walter Fairservis Jr (1975): … linear measurement was apparently well standardised. Mackay by good fortune found a piece of shell marked in regular fashion and quite clearly intended as a rule. Nine divisions remain, and from circular markings at two places five units apart it would appear that a decimal system was in vogue. Each division is approx 0.264 inches wide, or a five-unit total of 1.32 inches. Thus a foot in the decimal system would be 13.2 inches,
14
which fit into a widespread system of the ancient world. Similarly, Vats and Wheeler provided evidence that a cubit was also used. Thus both the smaller and larger units of measurement were used in building and presumably to lay out fields. (p 291) '

one common misconception I have found is also a simple such as the slant angle of the Great Pyramid. The angle 51 deg 50 min 24 sec is based on the number 60 and so is written 51.84 degree.

Many think 51.84 is base 100 so their calculation is slightly out. The reason 51.84 is important is when using 22/7 for the approximate for pi it is the closest to to decimal points.

tan 51.84 degree = 1.272600467 and we know this works well with 22/7 but not only that look at the progression.

1.272600467 squared = 1.619511589 (nearly phi 1.618)

1.619511589 squared = 2.2622818951 twice phi

2.622818951 squared = 6.879179252 687 is the base measure for the GP in Saxon feet755.7 imperial feet.

Now look at tan 51.85 again 1.272600457 and call it 1,272.600457 Saxon feet the diagonal of a square find the side of the square 899.8644199 is the radius of a circle of the pyramid laid flat.

900 Saxon feet = 990 imperial feet and we know the Sarsen circle = 99 imperial feet.

You can see the same pyramid numbers in cos 51.84 = 0.617859613 do the same as above 617.859613 diagonal then side = 436.892 is the height of the pyramid in Saxon feet 480.58 imperial feet.

For the architects to have incorporated so much data on mathematics, geometry, astronomy must have meant rooms full of computers to check data. And by computers I mean people just as the British used rooms full of young navel officers to churn through calculations after the Venus transit in order to compute a Sun distance.

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Let there be Phos :) 2513 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 349 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 391 drew 17-Dec-17 02:30
Re: Let there be Phos :) 260 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 352 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 298 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 365 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 268 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 380 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 312 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 285 molder 19-Dec-17 05:00
Re: Let there be Phos :) 293 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 291 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 291 molder 19-Dec-17 07:11
Re: Let there be Phos :) 368 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 284 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 345 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 258 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 287 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 254 molder 19-Dec-17 22:08
Re: Let there be Phos :) 288 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 278 molder 20-Dec-17 20:57
Re: Let there be Phos :) 310 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 277 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 288 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 308 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 281 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 376 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 397 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 367 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 299 drew 18-Dec-17 00:51
Re: Let there be Phos :) 311 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 397 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 370 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 415 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 336 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 349 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 277 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 290 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 267 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 325 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 308 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 245 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 326 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 343 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 378 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 321 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 323 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 378 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 447 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 256 molder 31-Dec-17 22:57
Re: Let there be Phos :) 383 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 328 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 319 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 296 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 425 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 324 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 370 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 328 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 392 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 287 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 387 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 324 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 347 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 352 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 327 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 329 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 317 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 357 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 285 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 395 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 284 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 242 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 244 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 390 molder 03-Jan-18 08:47
Re:A Canonical alternative 318 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 255 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 258 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 242 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 284 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 255 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 278 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 262 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 365 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 270 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 258 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 328 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 302 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 278 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 326 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 273 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 387 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 223 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 274 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 389 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 286 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 320 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 262 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 326 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 289 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 346 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 328 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 336 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 322 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 288 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 290 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 295 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 271 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 300 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 245 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 267 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 271 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 272 DavidK 08-Jan-18 19:43
Re: Let there be Phos :) 350 magisterchessmutt 09-Jan-18 03:46
Re: Let there be Phos :) 291 DavidK 09-Jan-18 18:21
Re: Let there be Phos :) The Scottish mile 296 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 261 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 255 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 219 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 259 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 297 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 267 molder 11-Jan-18 21:54
Re: Let there be Phos :) 267 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 236 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 227 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 242 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 261 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 240 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 252 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 302 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 266 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 221 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 275 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 360 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 420 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 295 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 335 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 326 DavidK 07-Apr-18 20:01


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