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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 :) 2361 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 263 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 309 drew 17-Dec-17 02:30
Re: Let there be Phos :) 193 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 280 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 222 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 302 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 207 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 288 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 238 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 229 molder 19-Dec-17 05:00
Re: Let there be Phos :) 227 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 229 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 220 molder 19-Dec-17 07:11
Re: Let there be Phos :) 293 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 219 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 270 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 196 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 224 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 200 molder 19-Dec-17 22:08
Re: Let there be Phos :) 213 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 224 molder 20-Dec-17 20:57
Re: Let there be Phos :) 250 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 206 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 230 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 256 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 218 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 303 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 297 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 297 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 241 drew 18-Dec-17 00:51
Re: Let there be Phos :) 226 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 321 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 302 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 323 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 252 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 267 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 211 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 225 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 196 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 259 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 235 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 190 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 248 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 239 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 301 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 249 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 248 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 297 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 365 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 196 molder 31-Dec-17 22:57
Re: Let there be Phos :) 286 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 242 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 240 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 243 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 332 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 242 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 284 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 277 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 321 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 220 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 305 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 256 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 281 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 266 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 252 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 262 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 244 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 278 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 219 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 322 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 225 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 183 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 191 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 315 molder 03-Jan-18 08:47
Re:A Canonical alternative 231 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 203 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 199 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 191 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 208 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 198 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 212 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 200 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 290 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 207 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 212 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 264 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 246 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 215 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 264 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 202 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 308 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 151 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 203 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 298 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 227 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 255 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 202 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 256 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 217 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 259 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 237 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 271 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 239 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 225 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 231 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 240 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 202 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 248 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 190 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 208 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 209 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 198 DavidK 08-Jan-18 19:43
Re: Let there be Phos :) 277 magisterchessmutt 09-Jan-18 03:46
Re: Let there be Phos :) 222 DavidK 09-Jan-18 18:21
Re: Let there be Phos :) The Scottish mile 244 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 193 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 190 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 171 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 194 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 228 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 201 molder 11-Jan-18 21:54
Re: Let there be Phos :) 215 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 191 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 167 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 174 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 208 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 172 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 196 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 249 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 201 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 172 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 207 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 288 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 297 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 232 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 266 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 264 DavidK 07-Apr-18 20:01


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