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Hi Jim,

256/81 if the Ancient Egyptians actually used it would be written as 3 + 1/9 + 1/27 + 1/81 or the inverse as 1/4 + 1/16 + 1/256 = 81/256.
Just wondering how your formula might function with problem #10 of the Moscow Mathematical Papyrus?
Which reads as follows: Example of calculating [the surface area of] a basket [hemisphere].
You are given a hemisphere with a mouth [magnitude] of 4 + 1/2 [in diameter].
What is its surface?
Take 1/9 of of 9 [since]the basket is half an egg [hemisphere].
You get 1.Calculate the remainder [when subtracted from 9] which is 8.
Calculate 1/9 of 8. You get 2/3 + 1/6 + 1/18.
Find the remainder of this 8 After subtracting 2/3 + 1/6 + 1/18. You get 7 + 1/9.
Multiply 7 + 1/9 by 4 + 1/2. You get 32. Behold this is its surface [area]!
You have found it correctly.
Here is how they calculated it.
When you study the papyri you will find 8/9 was not noted as 8/9 but always noted as 2/3 + 1/6 + 1/18, you will also find they did not simply multiply numbers as we do they used unit fractions and the additive method as follows:
9 x 1/9 = =1
9 - 1 = 8
8 x 2/3 = 5 1/3
8 x 1/6 = 1 1/3
8 x 1/18 = 1/3 + 1/9
adding
5 1/3
1 1/3
1/3 + 1/9
7 1/9

7 1/9 x 4 1/2 = 32 is calculated in the following manner by doubling.
7 1/9 + 7 1/9 = 14 + 1/5 + 1/45
14 + 1/5 + 1/45 = 28 + 1/4 + 1/9 + 1/12
7 1/9 x 1/2 = 3 + 1/2 + 1/18

Adding the results:
14 + 1/5 + 1/45
28 + 1/4 + 1/9 + 1/12 ,,,,,,,,,,,,,,,,= 28 4/9
3 + 1/2 + 1/18................................= 3 5/9
equals 32

Can't stress enough the fact they did no think as we do mathematically. Tell me when their methods are employed will you derive pi? Hope that helps!

Jacob

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Subject Views Written By Posted
The Work of Hugh Franklin at the GP and Stonehenge 3003 DavidK 11-Jan-18 10:02
Re: The Work of Hugh Franklin at the GP and Stonehenge 373 molder 11-Jan-18 11:09
Re: The Work of Hugh Franklin at the GP and Stonehenge 386 DavidK 11-Jan-18 12:03
Jim Wakefield's Egyptian Pi. 375 DavidK 01-Feb-18 23:58
Re: The Work of Hugh Franklin at the GP and Stonehenge 213 DavidK 14-Nov-18 08:34
23040 165 DavidK 22-Nov-18 21:54
Re: 23040 164 molder 22-Nov-18 22:45
Re: 23040 158 Sirfiroth 23-Nov-18 00:38
Re: 23040 160 molder 23-Nov-18 02:43
Re: 23040 161 Sirfiroth 23-Nov-18 13:36
Re: 23040 193 Manu 23-Nov-18 18:46
Re: 23040 176 molder 23-Nov-18 22:44
Re: 23040 165 Manu 23-Nov-18 23:10
Re: 23040 158 DavidK 24-Nov-18 00:11
Re: 23040 160 molder 24-Nov-18 01:30
Re: 23040 165 molder 24-Nov-18 03:14
Re: 23040 180 Manu 24-Nov-18 04:47
Re: 23040 162 DavidK 24-Nov-18 10:02
Re: 23040 179 molder 24-Nov-18 11:04
Re: 23040 174 Manu 24-Nov-18 15:01
Re: 23040 154 Sirfiroth 24-Nov-18 17:16
Re: 23040 154 Manu 24-Nov-18 19:45
Re: 23040 170 DavidK 24-Nov-18 21:08
Re: 23040 168 Manu 24-Nov-18 22:13
Re: 23040 161 DavidK 25-Nov-18 23:36
Earth combined in sphere & octahedron 179 hendrik dirker 27-Nov-18 12:10
some thoughts 164 hendrik dirker 29-Nov-18 16:56
an anecdote 142 hendrik dirker 01-Dec-18 10:42
Re: Earth combined in sphere & octahedron 165 Sirfiroth 29-Nov-18 22:03
Re: Earth combined in sphere & octahedron 172 hendrik dirker 30-Nov-18 07:33
Re: More than one value for pi used 161 molder 24-Nov-18 23:37
Re: More than one value for pi used 170 Manu 25-Nov-18 18:56
Re: More than one value for pi used 156 DavidK 25-Nov-18 23:12
Re: More than one value for pi used 132 Manu 26-Nov-18 14:33
Re: More than one value for pi used 127 DavidK 27-Nov-18 10:08
Re: More than one value for pi used 150 Manu 27-Nov-18 11:15
Re: More than one value for pi used 132 molder 27-Nov-18 22:41
Re: More than one value for pi used 135 Manu 27-Nov-18 23:12
Re: More than one value for pi used 126 DavidK 27-Nov-18 23:35
Re: More than one value for pi used 132 Manu 27-Nov-18 23:50
Re: Holes in Grand Gallery ramps 158 M. J. Thomas 28-Nov-18 11:28
Re: Holes in Grand Gallery ramps 135 molder 01-Dec-18 12:55
Re: More than one value for pi used 137 molder 26-Nov-18 11:47
Re: More than one value for pi used 139 Manu 26-Nov-18 12:11
Earth depicted in the sky 202 hendrik dirker 24-Nov-18 17:28
Re: Earth depicted in the sky 147 molder 24-Nov-18 23:21
Re: Earth depicted in the sky 172 DavidK 25-Nov-18 08:35
Re: Earth depicted in the sky 21600 flagged 138 DavidK 26-Nov-18 11:31
Re: Earth depicted in the sky 21600 flagged 188 hendrik dirker 26-Nov-18 17:23
Re: Earth depicted in the sky 21600 flagged 135 DavidK 27-Nov-18 10:42
I dunno 146 hendrik dirker 29-Nov-18 16:22
Re: 23040 170 Sirfiroth 23-Nov-18 00:41
Re: 23040 and writing real Pi 178 DavidK 23-Nov-18 09:53
Re: 23040 and writing real Pi 134 Sirfiroth 26-Nov-18 14:06
Re: 23040 and writing real Pi 141 DavidK 26-Nov-18 15:24
Re: 23040 and writing real Pi 146 Sirfiroth 26-Nov-18 21:13
Re: 23040 and writing real Pi 128 DavidK 27-Nov-18 09:16
Re: 23040 and writing real Pi 155 Sirfiroth 28-Nov-18 01:10
Re: 23040 and writing real Pi 143 DavidK 28-Nov-18 11:39
Re: 23040 and writing real Pi 149 Manu 28-Nov-18 14:25
Re: 23040 and writing real Pi 148 DavidK 28-Nov-18 16:14
Re: 23040 and writing real Pi 138 Manu 28-Nov-18 17:20
Re: 23040 and writing real Pi 135 Sirfiroth 30-Nov-18 00:52
Re: 23040 and writing real Pi 133 Manu 30-Nov-18 02:12
Re: 23040 and writing real Pi 139 Sirfiroth 28-Nov-18 17:04
Re: 23040 and writing real Pi 131 DavidK 28-Nov-18 20:02
Really loving Jim's 23040 and root 5 172 DavidK 23-Nov-18 16:29
Re: The Work of Hugh Franklin at the GP and Stonehenge 341 DavidK 19-Mar-18 09:43
Re: The Work of Hugh Franklin at the GP and Stonehenge 312 DavidK 08-May-18 10:31
Re: The Work of Hugh Franklin at the GP and Stonehenge 234 DavidK 12-Nov-18 17:14
Re: The Work of Hugh Franklin at the GP and Stonehenge 156 DavidK 28-Nov-18 20:25
Re: The Work of Hugh Franklin at the GP and Stonehenge 150 hendrik dirker 29-Nov-18 17:12
Re: The Work of Hugh Franklin at the GP and Stonehenge 149 DavidK 30-Nov-18 15:28
Re: The Work of Hugh Franklin at the GP and Stonehenge 156 Sirfiroth 30-Nov-18 16:52
Re: The Work of Hugh Franklin at the GP and Stonehenge 144 molder 30-Nov-18 22:22
Re: The Work of Hugh Franklin at the GP and Stonehenge 156 DavidK 30-Nov-18 22:45
Re: eclipse & Stonehenge 171 hendrik dirker 01-Dec-18 08:13
Re: eclipse & Stonehenge and Pi 155 DavidK 01-Dec-18 10:49
Re: eclipse & Stonehenge and Pi 138 molder 01-Dec-18 12:28
Re: eclipse & Stonehenge and Pi 138 Sirfiroth 01-Dec-18 14:25
Re: eclipse & Stonehenge and Pi 161 rodz111 01-Dec-18 18:36
Re: eclipse & Stonehenge and Pi 141 DavidK 01-Dec-18 20:53
Re: eclipse & Stonehenge and Pi 147 Sirfiroth 02-Dec-18 20:09
Re: eclipse & Stonehenge and Pi 131 DavidK 02-Dec-18 22:55
Really that dense? 140 Sirfiroth 03-Dec-18 02:29
Re: Really that dense? 134 rodz111 03-Dec-18 03:40
Re: Really that dense? 140 Sirfiroth 03-Dec-18 14:37
Re: Really that dense? 134 rodz111 04-Dec-18 03:43
Re: Really that dense? 156 Sirfiroth 04-Dec-18 05:06
Re: Really that dense? 128 DavidK 04-Dec-18 10:13
Re: Really that dense? 128 Sirfiroth 04-Dec-18 15:01
Re: Really that dense? 120 DavidK 04-Dec-18 16:17
Re: Really that dense? 140 molder 04-Dec-18 10:27
Re: Really that dense? 139 DavidK 04-Dec-18 13:06
Re: Really that dense? 159 Sirfiroth 04-Dec-18 16:42
Re: Really that dense? 141 rodz111 04-Dec-18 21:38
Re: Really that dense? 132 Sirfiroth 04-Dec-18 23:38
Re: Really that dense? 144 DavidK 05-Dec-18 00:06
Re: Really that dense? 124 rodz111 05-Dec-18 16:32
Re: Really that dense? 125 rodz111 09-Dec-18 04:17
Re: Really that dense? 171 DavidK 03-Dec-18 09:19
Re:Egyptian value for pi in GP 159 molder 05-Dec-18 21:40
Re: Re:Egyptian value for pi in GP 156 DavidK 05-Dec-18 23:01
Re: Re:Egyptian value for pi in GP 169 cloister 05-Dec-18 23:38
uhmm... every day? 140 hendrik dirker 06-Dec-18 06:42
Re: uhmmm... every day? 142 cloister 06-Dec-18 08:37
Re: uhmmm... every day? 145 hendrik dirker 06-Dec-18 09:06
Re: uhmmm... every day? 134 cloister 06-Dec-18 11:25
Re: Re:Egyptian value for pi in GP 165 DavidK 06-Dec-18 10:04
Quite Simply! 159 Sirfiroth 06-Dec-18 13:55
Re: Quite Simply! 160 DUNE 07-Dec-18 11:24
Great Assumption! 159 Sirfiroth 07-Dec-18 14:44
Re: Great Assumption! 147 DUNE 07-Dec-18 16:49
Re: Great Assumption! 161 Sirfiroth 07-Dec-18 17:52
Re: Great Assumption! 136 Thanos5150 08-Dec-18 02:28
Re: Great Assumption! 126 DUNE 08-Dec-18 09:05
Re: Great Assumption! 140 Thanos5150 08-Dec-18 15:57
Re: Great Assumption! 142 DUNE 08-Dec-18 17:51
Re: Quite Simply! 154 DavidK 07-Dec-18 14:57
Re: Quite Simply! 146 DavidK 07-Dec-18 20:27
Re: Quite Simply! 136 DUNE 07-Dec-18 22:26
Re: Quite Simply! 157 DavidK 07-Dec-18 22:37
a load of numbers under scrtutiny 185 hendrik dirker 12-Dec-18 13:30
Papyrus of Pffft.... 166 cloister 12-Dec-18 16:01
Re: Papyrus of Pffft.... 144 hendrik dirker 14-Dec-18 12:16
Re: Papyrus of Pffft.... 136 cloister 14-Dec-18 14:52
Re: Papyrus of Pffft.... 141 Dr. Troglodyte 14-Dec-18 15:30
Re: Papyrus of Pffft.... 136 hendrik dirker 15-Dec-18 06:50
Re: Papyrus of Pffft.... 151 DavidK 15-Dec-18 15:31
Re: Papyrus of Pffft.... 158 cloister 15-Dec-18 21:27
Re: Papyrus of Pffft or the pre-Columbian cultures 143 rodz111 15-Dec-18 08:54
Re: Papyrus of Pffft or the pre-Columbian cultures 148 molder 18-Dec-18 22:18
Re: a load of numbers under scrtutiny 163 DavidK 12-Dec-18 20:16
Re: a load of numbers under scrtutiny 156 DUNE 12-Dec-18 21:51
Re: a load of numbers under scrtutiny 157 cloister 12-Dec-18 22:59
Re: a load of numbers under scrtutiny 145 gjb 13-Dec-18 01:53
Re: a load of numbers under scrtutiny 167 DavidK 13-Dec-18 10:35
Re: a load of numbers under scrtutiny 131 cloister 13-Dec-18 12:22
Re: a load of numbers under scrtutiny 126 DavidK 13-Dec-18 12:39
Re: a load of numbers under scrtutiny 131 cloister 13-Dec-18 13:04
Re: a load of numbers under scrtutiny 149 gjb 13-Dec-18 12:54
440 & 280 162 hendrik dirker 13-Dec-18 06:51
Re: 440 & 280 141 hendrik dirker 21-Dec-18 11:51
Re:-Stop the World for a word... 161 rodz111 13-Dec-18 19:57
Re: Re:-Stop the World for a word... 165 hendrik dirker 14-Dec-18 06:04
Re: Re:Babylonian value for pi in GP 152 molder 08-Dec-18 05:10
Re: Re:Babylonian value for pi in GP 195 DavidK 08-Dec-18 09:15
Re: Re:Babylonian value for pi in GP 175 DUNE 08-Dec-18 15:31
Re: Re:Babylonian value for pi in GP 191 DavidK 09-Dec-18 09:53
Link to 277.777r at the GP 105 DavidK 25-Feb-19 19:37
Re: Link to 277.777r at the GP 116 DavidK 04-Mar-19 21:42
Re: Link to 277.777r at the GP and 1111.1111r 56 DavidK 22-Mar-19 20:58
Re: Link to 277.777r at the GP 64 rodz111 23-Mar-19 02:27
Re: Link to 277.777r at the GP 82 DavidK 23-Mar-19 14:44
Re: Link to 277.777r at the GP 63 rodz111 24-Mar-19 09:28
Re: Link to 277.777r at the GP 75 Thanos5150 23-Mar-19 15:03
Re: Link to 277.777r at the GP 70 rodz111 24-Mar-19 01:56
Re: Link to 277.777r at the GP 75 Thanos5150 24-Mar-19 03:32
Re: Link to 277.777r at the GP 63 rodz111 24-Mar-19 06:14
Re: Link to 277.777r at the GP 74 DavidK 24-Mar-19 13:35
closed or open mind- how to get kicked off a closed mind websire 56 DavidK 24-Mar-19 16:33
Re: closed or open mind- how to get kicked off a closed mind websire 59 rodz111 24-Mar-19 20:00
Re: closed or open mind- how to get kicked off a closed mind websire 67 DavidK 25-Mar-19 08:18
Stanton Drew 55 molder 27-Mar-19 22:14
Re: The Work of Hugh Franklin at the GP and Stonehenge 52 DavidK 28-Mar-19 07:37
Re: The Work of Hugh Franklin at the GP and Stonehenge 46 molder 29-Mar-19 10:33
Re: The Work of Hugh Franklin at the GP and Stonehenge 52 DUNE 29-Mar-19 11:16
Re: The Work of Hugh Franklin at the GP and Stonehenge 72 DavidK 29-Mar-19 13:31
Re: The Work of Hugh Franklin at the GP and Stonehenge 71 molder 29-Mar-19 20:48


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