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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 :) 2643 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 451 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 465 drew 17-Dec-17 02:30
Re: Let there be Phos :) 329 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 426 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 379 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 429 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 329 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 448 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 375 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 348 molder 19-Dec-17 05:00
Re: Let there be Phos :) 365 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 350 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 362 molder 19-Dec-17 07:11
Re: Let there be Phos :) 426 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 349 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 405 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 324 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 352 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 319 molder 19-Dec-17 22:08
Re: Let there be Phos :) 355 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 347 molder 20-Dec-17 20:57
Re: Let there be Phos :) 372 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 353 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 359 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 370 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 345 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 441 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 484 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 434 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 369 drew 18-Dec-17 00:51
Re: Let there be Phos :) 377 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 487 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 453 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 510 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 407 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 448 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 341 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 363 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 344 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 389 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 389 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 315 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 404 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 409 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 446 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 385 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 413 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 512 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 588 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 323 molder 31-Dec-17 22:57
Re: Let there be Phos :) 452 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 391 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 382 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 363 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 500 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 397 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 432 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 392 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 495 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 346 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 469 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 396 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 457 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 436 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 409 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 395 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 384 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 438 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 361 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 472 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 348 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 315 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 310 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 460 molder 03-Jan-18 08:47
Re:A Canonical alternative 395 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 326 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 328 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 311 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 353 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 320 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 344 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 329 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 430 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 326 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 323 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 395 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 372 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 349 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 394 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 331 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 461 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 297 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 381 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 463 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 358 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 387 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 341 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 397 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 382 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 421 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 404 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 412 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 403 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 367 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 363 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 363 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 336 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 367 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 312 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 329 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 346 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 339 DavidK 08-Jan-18 19:43
Re: Let there be Phos :) 426 magisterchessmutt 09-Jan-18 03:46
Re: Let there be Phos :) 362 DavidK 09-Jan-18 18:21
Re: Let there be Phos :) The Scottish mile 365 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 316 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 318 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 274 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 310 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 360 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 341 molder 11-Jan-18 21:54
Re: Let there be Phos :) 332 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 294 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 284 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 316 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 319 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 288 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 340 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 376 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 331 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 286 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 334 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 471 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 493 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 353 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 403 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 383 DavidK 07-Apr-18 20:01


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