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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 :) 2149 magisterchessmutt 16-Dec-17 03:08
Re: Let there be Phos :) 188 magisterchessmutt 16-Dec-17 14:12
Re: Let there be Phos :) 222 drew 17-Dec-17 02:30
Re: Let there be Phos :) 135 magisterchessmutt 17-Dec-17 14:17
Re: Let there be Phos :) 174 Sirfiroth 17-Dec-17 21:38
Re: Let there be Phos :) 170 magisterchessmutt 17-Dec-17 22:29
Re: Let there be Phos :) 218 Horatech 18-Dec-17 06:12
Re: Let there be Phos :) 147 magisterchessmutt 18-Dec-17 14:03
Re: Let there be Phos :) 188 Horatech 18-Dec-17 23:27
Re: Let there be Phos :) 166 magisterchessmutt 19-Dec-17 02:49
Re: Let there be Phos :) 173 molder 19-Dec-17 05:00
Re: Let there be Phos :) 148 Horatech 19-Dec-17 06:19
Re: Let there be Phos :) 173 magisterchessmutt 19-Dec-17 06:25
Re: Let there be Phos :) 159 molder 19-Dec-17 07:11
Re: Let there be Phos :) 221 magisterchessmutt 19-Dec-17 11:56
Re: Let there be Phos :) 163 Sirfiroth 19-Dec-17 19:32
Re: Let there be Phos :) 198 magisterchessmutt 20-Dec-17 03:00
Re: Let there be Phos :) 142 Sirfiroth 20-Dec-17 16:03
Re: Let there be Phos :) 157 magisterchessmutt 21-Dec-17 06:22
Re: Let there be Phos :) 145 molder 19-Dec-17 22:08
Re: Let there be Phos :) 158 magisterchessmutt 20-Dec-17 02:08
Re: Let there be Phos :) 170 molder 20-Dec-17 20:57
Re: Let there be Phos :) 169 magisterchessmutt 22-Dec-17 02:33
Re: Let there be Phos :) 145 magisterchessmutt 22-Dec-17 04:23
Re: Let there be Phos :) 168 mmstud 22-Dec-17 08:12
Re: Let there be Phos :) 192 magisterchessmutt 22-Dec-17 10:44
Re: Let there be Phos :) 161 mmstud 22-Dec-17 12:26
Re: Let there be Phos :) 217 magisterchessmutt 23-Dec-17 00:47
Re: Let there be Phos :) 222 magisterchessmutt 24-Dec-17 15:20
Re: Let there be Phos :) 222 magisterchessmutt 24-Dec-17 04:07
Re: Let there be Phos :) 173 drew 18-Dec-17 00:51
Re: Let there be Phos :) 170 magisterchessmutt 18-Dec-17 02:11
Re: Let there be Phos :) 242 mmstud 22-Dec-17 14:44
Re: Let there be Phos :)Doubling a cube 205 molder 22-Dec-17 21:21
Re: Let there be Phos :)Doubling a cube 219 molder 23-Dec-17 22:27
Re: Let there be Phos :)Doubling a cube 186 magisterchessmutt 24-Dec-17 01:55
Re: Let there be Phos :)Doubling a cube 188 magisterchessmutt 26-Dec-17 14:53
Re: Let there be Phos :)Doubling a cube 156 molder 26-Dec-17 21:51
Re: Let there be Phos :)Doubling a cube 150 magisterchessmutt 27-Dec-17 03:36
Re: Let there be Phos :)Doubling a cube 140 molder 27-Dec-17 05:02
Re: Let there be Phos :)Doubling a cube 192 magisterchessmutt 27-Dec-17 11:07
Re: Let there be Phos :)Doubling a cube 145 rodz111 29-Dec-17 22:44
Re: Let there be Phos :)Doubling a cube 128 Sirfiroth 28-Dec-17 18:28
Re: Let there be Phos :)Doubling a cube 152 DavidK 28-Dec-17 19:33
Re: Let there be Phos :)Doubling a cube 165 magisterchessmutt 29-Dec-17 02:42
Re: Let there be Phos :)Doubling a cube 213 Sirfiroth 29-Dec-17 14:27
Re: Let there be Phos :)Doubling a cube 149 DavidK 29-Dec-17 15:05
Re: Let there be Phos :)Doubling a cube 161 magisterchessmutt 29-Dec-17 01:37
Re: Let there be Phos :)Doubling a cube 193 DavidK 29-Dec-17 01:52
Re: Let there be Phos :)Doubling a cube 257 magisterchessmutt 29-Dec-17 03:04
Re: Let there be Phos :)Doubling a cube 143 molder 31-Dec-17 22:57
Re: Let there be Phos :) 216 cladking 28-Dec-17 20:36
Re: Let there be Phos :) 167 magisterchessmutt 29-Dec-17 01:47
Re: Let there be Phos :) 156 cladking 29-Dec-17 02:06
Re: Let there be Phos :) 174 cladking 29-Dec-17 23:02
Re: Let there be Phos :) 225 DavidK 29-Dec-17 10:51
Re: Let there be Phos :) Lunar Target Practice 162 magisterchessmutt 30-Dec-17 03:24
Re: Let there be Phos :) 184 DavidK 29-Dec-17 15:22
Re: Let there be Phos :) 185 magisterchessmutt 30-Dec-17 04:28
Re: Let there be Phos :) 210 DavidK 30-Dec-17 15:56
Re: Let there be Phos :) 144 magisterchessmutt 31-Dec-17 05:32
Re: Let there be Phos :) 201 DavidK 31-Dec-17 10:28
Re: Let there be Phos :) 155 magisterchessmutt 31-Dec-17 12:18
Re: Let there be Phos :) Lunar Reflections 176 magisterchessmutt 01-Jan-18 11:07
Re: Let there be Phos :) Lunar Reflections 166 DavidK 01-Jan-18 11:40
Re: Let there be Phos :) Lunar Reflections 154 magisterchessmutt 01-Jan-18 13:00
Re: Let there be Phos :) Lunar Reflections 154 DavidK 01-Jan-18 13:39
Re: Let there be Phos :) Lunar Reflections 165 magisterchessmutt 02-Jan-18 04:12
Re: Let there be Phos :) Lunar Reflections 188 DavidK 02-Jan-18 09:34
Re: Let there be Phos :) Lunar Reflections 156 magisterchessmutt 02-Jan-18 12:30
Re: Let there be Phos :) Lunar Reflections 226 DavidK 02-Jan-18 13:20
Re: Let there be Phos :) Lunar Reflections 166 magisterchessmutt 03-Jan-18 03:57
Re: Let there be Phos :) Lunar Reflections 126 molder 03-Jan-18 06:00
Re: Let there be Phos :) Lunar Reflections 135 magisterchessmutt 03-Jan-18 07:04
Re: Let there be Phos :) Lunar Reflections 223 molder 03-Jan-18 08:47
Re:A Canonical alternative 160 cloister 03-Jan-18 10:14
Re: Re:A Canonical alternative 146 magisterchessmutt 03-Jan-18 11:16
Re: Re:A Canonical alternative 143 molder 03-Jan-18 11:46
Re: Re:A Canonical alternative 137 magisterchessmutt 03-Jan-18 12:18
Re: Re:A Canonical alternative 153 molder 03-Jan-18 12:34
Re: Re:A Canonical alternative 139 magisterchessmutt 03-Jan-18 13:19
Re: Re:A Canonical alternative 142 cloister 03-Jan-18 15:20
Re: Re:A Canonical alternative 137 magisterchessmutt 03-Jan-18 16:55
Re: Re:A Canonical alternative 205 cloister 05-Jan-18 17:23
Re: Re:A Canonical alternative 134 Origyptian 06-Jan-18 18:14
Re: Re:A Canonical alternative 150 magisterchessmutt 08-Jan-18 04:45
Re: Re:A Canonical alternative 192 cloister 08-Jan-18 11:25
Re: Re:A Canonical alternative 173 DavidK 03-Jan-18 15:37
Re: Re:A Canonical alternative 136 magisterchessmutt 03-Jan-18 17:31
Re: Re:A Canonical alternative 197 DavidK 03-Jan-18 18:54
Re: Re:A Canonical alternative 142 magisterchessmutt 04-Jan-18 03:04
Re: Re:A Canonical alternative 197 DavidK 04-Jan-18 09:55
Re: Re:A Canonical alternative 95 magisterchessmutt 04-Jan-18 11:20
Re: Re:A Canonical alternative 147 DavidK 04-Jan-18 11:55
Re: Re:A Canonical alternative 225 magisterchessmutt 04-Jan-18 12:13
Re: Re:A Canonical alternative 167 Sirfiroth 07-Jan-18 00:00
Re: Re:A Canonical alternative 170 magisterchessmutt 07-Jan-18 00:46
Re: Re:A Canonical alternative 141 magisterchessmutt 07-Jan-18 07:41
Re: Re:A Canonical alternative 182 cloister 07-Jan-18 09:07
Re: Let there be Phos :) 143 magisterchessmutt 07-Jan-18 16:12
Re: Let there be Phos :) 193 DavidK 07-Jan-18 18:28
Re: Let there be Phos :) 153 magisterchessmutt 07-Jan-18 22:43
Re: Let there be Phos :) 182 DavidK 07-Jan-18 23:09
Re: Let there be Phos :) 153 DavidK 07-Jan-18 23:53
Re: Let there be Phos :) 158 magisterchessmutt 08-Jan-18 03:37
Re: Let there be Phos :) 151 magisterchessmutt 08-Jan-18 04:05
Re: Let there be Phos :) 167 DavidK 08-Jan-18 08:25
Re: Let there be Phos :) 138 magisterchessmutt 08-Jan-18 10:28
Re: Let there be Phos :) 177 DavidK 08-Jan-18 10:59
Re: Let there be Phos :) 126 DavidK 08-Jan-18 11:17
Re: Let there be Phos :) 139 magisterchessmutt 08-Jan-18 12:35
Re: Let there be Phos :) 146 DavidK 08-Jan-18 17:45
Re: Let there be Phos :) 128 DavidK 08-Jan-18 19:43
Re: Let there be Phos :) 188 magisterchessmutt 09-Jan-18 03:46
Re: Let there be Phos :) 148 DavidK 09-Jan-18 18:21
Re: Let there be Phos :) The Scottish mile 153 molder 10-Jan-18 13:33
Re: Let there be Phos :) The Scottish mile 119 molder 10-Jan-18 13:57
Re: Let there be Phos :) The Scottish mile 128 DavidK 10-Jan-18 15:07
Re: Let there be Phos :) 111 DavidK 10-Jan-18 16:38
Re: Let there be Phos :) 134 DavidK 10-Jan-18 16:46
Re: Let there be Phos :) 156 DavidK 10-Jan-18 21:18
Re: Let there be Phos :) 132 molder 11-Jan-18 21:54
Re: Let there be Phos :) 147 magisterchessmutt 12-Jan-18 10:29
Re: Let there be Phos :) 132 DavidK 12-Jan-18 11:17
Re: Let there be Phos :) 112 DavidK 12-Jan-18 10:40
Re: Let there be Phos :) 109 magisterchessmutt 12-Jan-18 12:01
Re: Let there be Phos :) 157 DavidK 12-Jan-18 13:06
Re: Let there be Phos :) 118 DavidK 12-Jan-18 12:06
Re: Let there be Phos :) 133 magisterchessmutt 12-Jan-18 12:25
Re: Let there be Phos :) 176 DavidK 12-Jan-18 14:16
Re: Let there be Phos :) 136 magisterchessmutt 13-Jan-18 11:34
Re: Let there be Phos :) 124 DavidK 13-Jan-18 12:04
Re: Let there be Phos :) 132 magisterchessmutt 13-Jan-18 12:31
Re: Let there be Phos :) 201 DavidK 13-Jan-18 12:47
Let there be Phos at the GP 214 DavidK 17-Jan-18 15:13
Re: Let there be Phos :) 125 DavidK 22-Mar-18 22:50
Re: Let there be Phos :) 162 magisterchessmutt 27-Mar-18 21:19
Re: Let there be Phos :) 170 DavidK 07-Apr-18 20:01


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