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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 :) 2339 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 249 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 295 drew 17-Dec-17 02:30
Re: Let there be Phos :) 185 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 260 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 215 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 290 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 195 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 261 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 231 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 225 molder 19-Dec-17 05:00
Re: Let there be Phos :) 208 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 225 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 214 molder 19-Dec-17 07:11
Re: Let there be Phos :) 281 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 216 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 250 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 188 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 218 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 196 molder 19-Dec-17 22:08
Re: Let there be Phos :) 208 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 219 molder 20-Dec-17 20:57
Re: Let there be Phos :) 240 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 197 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 226 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 251 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 215 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 294 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 287 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 287 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 225 drew 18-Dec-17 00:51
Re: Let there be Phos :) 220 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 315 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 295 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 313 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 247 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 258 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 203 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 211 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 187 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 255 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 215 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 185 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 237 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 231 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 284 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 231 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 240 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 284 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 350 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 191 molder 31-Dec-17 22:57
Re: Let there be Phos :) 278 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 234 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 222 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 232 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 314 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 231 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 268 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 265 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 310 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 211 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 294 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 243 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 268 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 255 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 227 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 246 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 237 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 267 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 211 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 306 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 219 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 178 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 185 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 303 molder 03-Jan-18 08:47
Re:A Canonical alternative 220 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 198 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 194 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 186 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 204 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 192 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 205 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 193 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 279 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 190 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 204 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 256 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 237 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 201 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 251 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 197 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 283 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 146 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 197 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 283 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 221 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 244 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 196 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 248 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 206 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 250 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 226 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 250 DavidK 07-Jan-18 23:09
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Re: Let there be Phos :) 218 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 220 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 229 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 195 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 239 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 180 DavidK 08-Jan-18 11:17
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Re: Let there be Phos :) The Scottish mile 176 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 164 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 188 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 219 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 192 molder 11-Jan-18 21:54
Re: Let there be Phos :) 207 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 187 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 161 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 166 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 204 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 163 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 190 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 242 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 195 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 167 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 196 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 279 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 283 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 221 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 251 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 250 DavidK 07-Apr-18 20:01


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