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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 :) 2406 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 278 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 321 drew 17-Dec-17 02:30
Re: Let there be Phos :) 209 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 294 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 240 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 312 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 214 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 308 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 246 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 238 molder 19-Dec-17 05:00
Re: Let there be Phos :) 241 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 243 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 236 molder 19-Dec-17 07:11
Re: Let there be Phos :) 306 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 229 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 288 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 207 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 234 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 209 molder 19-Dec-17 22:08
Re: Let there be Phos :) 224 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 234 molder 20-Dec-17 20:57
Re: Let there be Phos :) 260 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 221 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 238 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 263 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 229 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 319 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 309 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 309 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 253 drew 18-Dec-17 00:51
Re: Let there be Phos :) 239 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 332 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 313 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 339 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 278 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 283 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 227 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 236 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 209 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 275 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 252 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 202 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 262 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 256 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 312 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 263 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 264 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 312 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 383 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 205 molder 31-Dec-17 22:57
Re: Let there be Phos :) 300 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 261 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 250 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 252 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 345 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 256 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 301 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 289 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 332 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 231 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 320 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 268 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 291 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 276 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 270 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 271 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 257 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 292 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 230 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 334 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 234 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 192 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 197 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 327 molder 03-Jan-18 08:47
Re:A Canonical alternative 251 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 209 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 212 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 197 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 221 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 208 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 225 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 209 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 308 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 224 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 222 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 278 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 252 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 225 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 275 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 212 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 325 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 160 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 220 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 312 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 235 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 266 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 212 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 271 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 227 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 274 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 251 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 282 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 252 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 231 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 237 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 247 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 209 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 257 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 198 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 217 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 217 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 213 DavidK 08-Jan-18 19:43
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Re: Let there be Phos :) 234 DavidK 09-Jan-18 18:21
Re: Let there be Phos :) The Scottish mile 254 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 210 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 199 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 176 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 200 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 237 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 213 molder 11-Jan-18 21:54
Re: Let there be Phos :) 219 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 195 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 173 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 185 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 214 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 191 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 206 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 258 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 212 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 178 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 215 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 300 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 317 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 243 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 280 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 279 DavidK 07-Apr-18 20:01


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