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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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The Work of Hugh Franklin at the GP and Stonehenge 3169 DavidK 11-Jan-18 10:02
Re: The Work of Hugh Franklin at the GP and Stonehenge 420 molder 11-Jan-18 11:09
Re: The Work of Hugh Franklin at the GP and Stonehenge 432 DavidK 11-Jan-18 12:03
Jim Wakefield's Egyptian Pi. 425 DavidK 01-Feb-18 23:58
Re: The Work of Hugh Franklin at the GP and Stonehenge 262 DavidK 14-Nov-18 08:34
23040 202 DavidK 22-Nov-18 21:54
Re: 23040 215 molder 22-Nov-18 22:45
Re: 23040 200 Sirfiroth 23-Nov-18 00:38
Re: 23040 202 molder 23-Nov-18 02:43
Re: 23040 199 Sirfiroth 23-Nov-18 13:36
Re: 23040 244 Manu 23-Nov-18 18:46
Re: 23040 218 molder 23-Nov-18 22:44
Re: 23040 217 Manu 23-Nov-18 23:10
Re: 23040 209 DavidK 24-Nov-18 00:11
Re: 23040 199 molder 24-Nov-18 01:30
Re: 23040 211 molder 24-Nov-18 03:14
Re: 23040 237 Manu 24-Nov-18 04:47
Re: 23040 209 DavidK 24-Nov-18 10:02
Re: 23040 224 molder 24-Nov-18 11:04
Re: 23040 225 Manu 24-Nov-18 15:01
Re: 23040 197 Sirfiroth 24-Nov-18 17:16
Re: 23040 201 Manu 24-Nov-18 19:45
Re: 23040 216 DavidK 24-Nov-18 21:08
Re: 23040 210 Manu 24-Nov-18 22:13
Re: 23040 210 DavidK 25-Nov-18 23:36
Earth combined in sphere & octahedron 226 hendrik dirker 27-Nov-18 12:10
some thoughts 215 hendrik dirker 29-Nov-18 16:56
an anecdote 191 hendrik dirker 01-Dec-18 10:42
Re: Earth combined in sphere & octahedron 218 Sirfiroth 29-Nov-18 22:03
Re: Earth combined in sphere & octahedron 232 hendrik dirker 30-Nov-18 07:33
Re: More than one value for pi used 203 molder 24-Nov-18 23:37
Re: More than one value for pi used 214 Manu 25-Nov-18 18:56
Re: More than one value for pi used 206 DavidK 25-Nov-18 23:12
Re: More than one value for pi used 176 Manu 26-Nov-18 14:33
Re: More than one value for pi used 174 DavidK 27-Nov-18 10:08
Re: More than one value for pi used 190 Manu 27-Nov-18 11:15
Re: More than one value for pi used 174 molder 27-Nov-18 22:41
Re: More than one value for pi used 178 Manu 27-Nov-18 23:12
Re: More than one value for pi used 169 DavidK 27-Nov-18 23:35
Re: More than one value for pi used 177 Manu 27-Nov-18 23:50
Re: Holes in Grand Gallery ramps 210 M. J. Thomas 28-Nov-18 11:28
Re: Holes in Grand Gallery ramps 180 molder 01-Dec-18 12:55
Re: More than one value for pi used 175 molder 26-Nov-18 11:47
Re: More than one value for pi used 181 Manu 26-Nov-18 12:11
Earth depicted in the sky 252 hendrik dirker 24-Nov-18 17:28
Re: Earth depicted in the sky 191 molder 24-Nov-18 23:21
Re: Earth depicted in the sky 229 DavidK 25-Nov-18 08:35
Re: Earth depicted in the sky 21600 flagged 185 DavidK 26-Nov-18 11:31
Re: Earth depicted in the sky 21600 flagged 233 hendrik dirker 26-Nov-18 17:23
Re: Earth depicted in the sky 21600 flagged 179 DavidK 27-Nov-18 10:42
I dunno 190 hendrik dirker 29-Nov-18 16:22
Re: 23040 221 Sirfiroth 23-Nov-18 00:41
Re: 23040 and writing real Pi 220 DavidK 23-Nov-18 09:53
Re: 23040 and writing real Pi 172 Sirfiroth 26-Nov-18 14:06
Re: 23040 and writing real Pi 188 DavidK 26-Nov-18 15:24
Re: 23040 and writing real Pi 188 Sirfiroth 26-Nov-18 21:13
Re: 23040 and writing real Pi 172 DavidK 27-Nov-18 09:16
Re: 23040 and writing real Pi 220 Sirfiroth 28-Nov-18 01:10
Re: 23040 and writing real Pi 185 DavidK 28-Nov-18 11:39
Re: 23040 and writing real Pi 194 Manu 28-Nov-18 14:25
Re: 23040 and writing real Pi 187 DavidK 28-Nov-18 16:14
Re: 23040 and writing real Pi 183 Manu 28-Nov-18 17:20
Re: 23040 and writing real Pi 179 Sirfiroth 30-Nov-18 00:52
Re: 23040 and writing real Pi 178 Manu 30-Nov-18 02:12
Re: 23040 and writing real Pi 180 Sirfiroth 28-Nov-18 17:04
Re: 23040 and writing real Pi 183 DavidK 28-Nov-18 20:02
Really loving Jim's 23040 and root 5 222 DavidK 23-Nov-18 16:29
Re: The Work of Hugh Franklin at the GP and Stonehenge 391 DavidK 19-Mar-18 09:43
Re: The Work of Hugh Franklin at the GP and Stonehenge 360 DavidK 08-May-18 10:31
Re: The Work of Hugh Franklin at the GP and Stonehenge 282 DavidK 12-Nov-18 17:14
Re: The Work of Hugh Franklin at the GP and Stonehenge 203 DavidK 28-Nov-18 20:25
Re: The Work of Hugh Franklin at the GP and Stonehenge 190 hendrik dirker 29-Nov-18 17:12
Re: The Work of Hugh Franklin at the GP and Stonehenge 209 DavidK 30-Nov-18 15:28
Re: The Work of Hugh Franklin at the GP and Stonehenge 205 Sirfiroth 30-Nov-18 16:52
Re: The Work of Hugh Franklin at the GP and Stonehenge 193 molder 30-Nov-18 22:22
Re: The Work of Hugh Franklin at the GP and Stonehenge 206 DavidK 30-Nov-18 22:45
Re: eclipse & Stonehenge 220 hendrik dirker 01-Dec-18 08:13
Re: eclipse & Stonehenge and Pi 208 DavidK 01-Dec-18 10:49
Re: eclipse & Stonehenge and Pi 182 molder 01-Dec-18 12:28
Re: eclipse & Stonehenge and Pi 190 Sirfiroth 01-Dec-18 14:25
Re: eclipse & Stonehenge and Pi 206 rodz111 01-Dec-18 18:36
Re: eclipse & Stonehenge and Pi 191 DavidK 01-Dec-18 20:53
Re: eclipse & Stonehenge and Pi 193 Sirfiroth 02-Dec-18 20:09
Re: eclipse & Stonehenge and Pi 174 DavidK 02-Dec-18 22:55
Really that dense? 184 Sirfiroth 03-Dec-18 02:29
Re: Really that dense? 181 rodz111 03-Dec-18 03:40
Re: Really that dense? 182 Sirfiroth 03-Dec-18 14:37
Re: Really that dense? 184 rodz111 04-Dec-18 03:43
Re: Really that dense? 205 Sirfiroth 04-Dec-18 05:06
Re: Really that dense? 165 DavidK 04-Dec-18 10:13
Re: Really that dense? 174 Sirfiroth 04-Dec-18 15:01
Re: Really that dense? 167 DavidK 04-Dec-18 16:17
Re: Really that dense? 184 molder 04-Dec-18 10:27
Re: Really that dense? 180 DavidK 04-Dec-18 13:06
Re: Really that dense? 207 Sirfiroth 04-Dec-18 16:42
Re: Really that dense? 188 rodz111 04-Dec-18 21:38
Re: Really that dense? 174 Sirfiroth 04-Dec-18 23:38
Re: Really that dense? 186 DavidK 05-Dec-18 00:06
Re: Really that dense? 170 rodz111 05-Dec-18 16:32
Re: Really that dense? 168 rodz111 09-Dec-18 04:17
Re: Really that dense? 223 DavidK 03-Dec-18 09:19
Re:Egyptian value for pi in GP 208 molder 05-Dec-18 21:40
Re: Re:Egyptian value for pi in GP 205 DavidK 05-Dec-18 23:01
Re: Re:Egyptian value for pi in GP 226 cloister 05-Dec-18 23:38
uhmm... every day? 181 hendrik dirker 06-Dec-18 06:42
Re: uhmmm... every day? 184 cloister 06-Dec-18 08:37
Re: uhmmm... every day? 199 hendrik dirker 06-Dec-18 09:06
Re: uhmmm... every day? 187 cloister 06-Dec-18 11:25
Re: Re:Egyptian value for pi in GP 217 DavidK 06-Dec-18 10:04
Quite Simply! 204 Sirfiroth 06-Dec-18 13:55
Re: Quite Simply! 208 DUNE 07-Dec-18 11:24
Great Assumption! 202 Sirfiroth 07-Dec-18 14:44
Re: Great Assumption! 193 DUNE 07-Dec-18 16:49
Re: Great Assumption! 212 Sirfiroth 07-Dec-18 17:52
Re: Great Assumption! 179 Thanos5150 08-Dec-18 02:28
Re: Great Assumption! 163 DUNE 08-Dec-18 09:05
Re: Great Assumption! 184 Thanos5150 08-Dec-18 15:57
Re: Great Assumption! 186 DUNE 08-Dec-18 17:51
Re: Quite Simply! 200 DavidK 07-Dec-18 14:57
Re: Quite Simply! 190 DavidK 07-Dec-18 20:27
Re: Quite Simply! 181 DUNE 07-Dec-18 22:26
Re: Quite Simply! 206 DavidK 07-Dec-18 22:37
a load of numbers under scrtutiny 248 hendrik dirker 12-Dec-18 13:30
Papyrus of Pffft.... 219 cloister 12-Dec-18 16:01
Re: Papyrus of Pffft.... 186 hendrik dirker 14-Dec-18 12:16
Re: Papyrus of Pffft.... 177 cloister 14-Dec-18 14:52
Re: Papyrus of Pffft.... 183 Dr. Troglodyte 14-Dec-18 15:30
Re: Papyrus of Pffft.... 176 hendrik dirker 15-Dec-18 06:50
Re: Papyrus of Pffft.... 201 DavidK 15-Dec-18 15:31
Re: Papyrus of Pffft.... 202 cloister 15-Dec-18 21:27
Re: Papyrus of Pffft or the pre-Columbian cultures 191 rodz111 15-Dec-18 08:54
Re: Papyrus of Pffft or the pre-Columbian cultures 195 molder 18-Dec-18 22:18
Re: a load of numbers under scrtutiny 214 DavidK 12-Dec-18 20:16
Re: a load of numbers under scrtutiny 203 DUNE 12-Dec-18 21:51
Re: a load of numbers under scrtutiny 209 cloister 12-Dec-18 22:59
Re: a load of numbers under scrtutiny 188 gjb 13-Dec-18 01:53
Re: a load of numbers under scrtutiny 216 DavidK 13-Dec-18 10:35
Re: a load of numbers under scrtutiny 176 cloister 13-Dec-18 12:22
Re: a load of numbers under scrtutiny 165 DavidK 13-Dec-18 12:39
Re: a load of numbers under scrtutiny 168 cloister 13-Dec-18 13:04
Re: a load of numbers under scrtutiny 197 gjb 13-Dec-18 12:54
440 & 280 215 hendrik dirker 13-Dec-18 06:51
Re: 440 & 280 181 hendrik dirker 21-Dec-18 11:51
Re:-Stop the World for a word... 210 rodz111 13-Dec-18 19:57
Re: Re:-Stop the World for a word... 214 hendrik dirker 14-Dec-18 06:04
Re: Re:Babylonian value for pi in GP 193 molder 08-Dec-18 05:10
Re: Re:Babylonian value for pi in GP 243 DavidK 08-Dec-18 09:15
Re: Re:Babylonian value for pi in GP 225 DUNE 08-Dec-18 15:31
Re: Re:Babylonian value for pi in GP 245 DavidK 09-Dec-18 09:53
Link to 277.777r at the GP 155 DavidK 25-Feb-19 19:37
Re: Link to 277.777r at the GP 161 DavidK 04-Mar-19 21:42
Re: Link to 277.777r at the GP and 1111.1111r 103 DavidK 22-Mar-19 20:58
Re: Link to 277.777r at the GP 113 rodz111 23-Mar-19 02:27
Re: Link to 277.777r at the GP 132 DavidK 23-Mar-19 14:44
Re: Link to 277.777r at the GP 103 rodz111 24-Mar-19 09:28
Re: Link to 277.777r at the GP 133 Thanos5150 23-Mar-19 15:03
Re: Link to 277.777r at the GP 128 rodz111 24-Mar-19 01:56
Re: Link to 277.777r at the GP 124 Thanos5150 24-Mar-19 03:32
Re: Link to 277.777r at the GP 98 rodz111 24-Mar-19 06:14
Re: Link to 277.777r at the GP 118 DavidK 24-Mar-19 13:35
closed or open mind- how to get kicked off a closed mind websire 93 DavidK 24-Mar-19 16:33
Re: closed or open mind- how to get kicked off a closed mind websire 96 rodz111 24-Mar-19 20:00
Re: closed or open mind- how to get kicked off a closed mind websire 107 DavidK 25-Mar-19 08:18
Stanton Drew 107 molder 27-Mar-19 22:14
Re: The Work of Hugh Franklin at the GP and Stonehenge 96 DavidK 28-Mar-19 07:37
Re: The Work of Hugh Franklin at the GP and Stonehenge 84 molder 29-Mar-19 10:33
Re: The Work of Hugh Franklin at the GP and Stonehenge 93 DUNE 29-Mar-19 11:16
Re: The Work of Hugh Franklin at the GP and Stonehenge 112 DavidK 29-Mar-19 13:31
Re: The Work of Hugh Franklin at the GP and Stonehenge 130 molder 29-Mar-19 20:48


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