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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
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

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

Subject Views Written By Posted
The Work of Hugh Franklin at the GP and Stonehenge 3545 DavidK 11-Jan-18 10:02
Re: The Work of Hugh Franklin at the GP and Stonehenge 497 molder 11-Jan-18 11:09
Re: The Work of Hugh Franklin at the GP and Stonehenge 498 DavidK 11-Jan-18 12:03
Jim Wakefield's Egyptian Pi. 512 DavidK 01-Feb-18 23:58
Re: The Work of Hugh Franklin at the GP and Stonehenge 340 DavidK 14-Nov-18 08:34
23040 262 DavidK 22-Nov-18 21:54
Re: 23040 279 molder 22-Nov-18 22:45
Re: 23040 262 Sirfiroth 23-Nov-18 00:38
Re: 23040 254 molder 23-Nov-18 02:43
Re: 23040 261 Sirfiroth 23-Nov-18 13:36
Re: 23040 302 Manu 23-Nov-18 18:46
Re: 23040 274 molder 23-Nov-18 22:44
Re: 23040 274 Manu 23-Nov-18 23:10
Re: 23040 276 DavidK 24-Nov-18 00:11
Re: 23040 253 molder 24-Nov-18 01:30
Re: 23040 275 molder 24-Nov-18 03:14
Re: 23040 309 Manu 24-Nov-18 04:47
Re: 23040 280 DavidK 24-Nov-18 10:02
Re: 23040 288 molder 24-Nov-18 11:04
Re: 23040 283 Manu 24-Nov-18 15:01
Re: 23040 279 Sirfiroth 24-Nov-18 17:16
Re: 23040 282 Manu 24-Nov-18 19:45
Re: 23040 284 DavidK 24-Nov-18 21:08
Re: 23040 277 Manu 24-Nov-18 22:13
Re: 23040 273 DavidK 25-Nov-18 23:36
Earth combined in sphere & octahedron 312 hendrik dirker 27-Nov-18 12:10
some thoughts 309 hendrik dirker 29-Nov-18 16:56
an anecdote 281 hendrik dirker 01-Dec-18 10:42
Re: Earth combined in sphere & octahedron 288 Sirfiroth 29-Nov-18 22:03
Re: Earth combined in sphere & octahedron 324 hendrik dirker 30-Nov-18 07:33
Re: More than one value for pi used 254 molder 24-Nov-18 23:37
Re: More than one value for pi used 274 Manu 25-Nov-18 18:56
Re: More than one value for pi used 281 DavidK 25-Nov-18 23:12
Re: More than one value for pi used 226 Manu 26-Nov-18 14:33
Re: More than one value for pi used 238 DavidK 27-Nov-18 10:08
Re: More than one value for pi used 239 Manu 27-Nov-18 11:15
Re: More than one value for pi used 233 molder 27-Nov-18 22:41
Re: More than one value for pi used 242 Manu 27-Nov-18 23:12
Re: More than one value for pi used 227 DavidK 27-Nov-18 23:35
Re: More than one value for pi used 230 Manu 27-Nov-18 23:50
Re: Holes in Grand Gallery ramps 305 M. J. Thomas 28-Nov-18 11:28
Re: Holes in Grand Gallery ramps 235 molder 01-Dec-18 12:55
Re: More than one value for pi used 232 molder 26-Nov-18 11:47
Re: More than one value for pi used 242 Manu 26-Nov-18 12:11
Re: 23040 53 DavidK 24-Dec-19 00:52
Re: 23040 50 Sirfiroth 26-Dec-19 14:30
Re: 23040 24 DavidK 27-Dec-19 19:05
Re: 23040 49 Sirfiroth 27-Dec-19 21:04
Earth depicted in the sky 329 hendrik dirker 24-Nov-18 17:28
Re: Earth depicted in the sky 244 molder 24-Nov-18 23:21
Re: Earth depicted in the sky 295 DavidK 25-Nov-18 08:35
Re: Earth depicted in the sky 21600 flagged 243 DavidK 26-Nov-18 11:31
Re: Earth depicted in the sky 21600 flagged 329 hendrik dirker 26-Nov-18 17:23
Re: Earth depicted in the sky 21600 flagged 229 DavidK 27-Nov-18 10:42
I dunno 268 hendrik dirker 29-Nov-18 16:22
Re: 23040 277 Sirfiroth 23-Nov-18 00:41
Re: 23040 and writing real Pi 282 DavidK 23-Nov-18 09:53
Re: 23040 and writing real Pi 224 Sirfiroth 26-Nov-18 14:06
Re: 23040 and writing real Pi 243 DavidK 26-Nov-18 15:24
Re: 23040 and writing real Pi 250 Sirfiroth 26-Nov-18 21:13
Re: 23040 and writing real Pi 230 DavidK 27-Nov-18 09:16
Re: 23040 and writing real Pi 320 Sirfiroth 28-Nov-18 01:10
Re: 23040 and writing real Pi 244 DavidK 28-Nov-18 11:39
Re: 23040 and writing real Pi 260 Manu 28-Nov-18 14:25
Re: 23040 and writing real Pi 239 DavidK 28-Nov-18 16:14
Re: 23040 and writing real Pi 242 Manu 28-Nov-18 17:20
Re: 23040 and writing real Pi 232 Sirfiroth 30-Nov-18 00:52
Re: 23040 and writing real Pi 257 Manu 30-Nov-18 02:12
Re: 23040 and writing real Pi 238 Sirfiroth 28-Nov-18 17:04
Re: 23040 and writing real Pi 252 DavidK 28-Nov-18 20:02
Re: 23040 and writing real Pi 39 thinkitover 24-Dec-19 16:07
Really loving Jim's 23040 and root 5 281 DavidK 23-Nov-18 16:29
Re: The Work of Hugh Franklin at the GP and Stonehenge 24 DavidK 27-Dec-19 19:17
Re: The Work of Hugh Franklin at the GP and Stonehenge 465 DavidK 19-Mar-18 09:43
Re: The Work of Hugh Franklin at the GP and Stonehenge 422 DavidK 08-May-18 10:31
Re: The Work of Hugh Franklin at the GP and Stonehenge 354 DavidK 12-Nov-18 17:14
Re: The Work of Hugh Franklin at the GP and Stonehenge 245 DavidK 28-Nov-18 20:25
Re: The Work of Hugh Franklin at the GP and Stonehenge 267 hendrik dirker 29-Nov-18 17:12
Re: The Work of Hugh Franklin at the GP and Stonehenge 276 DavidK 30-Nov-18 15:28
Re: The Work of Hugh Franklin at the GP and Stonehenge 272 Sirfiroth 30-Nov-18 16:52
Re: The Work of Hugh Franklin at the GP and Stonehenge 250 molder 30-Nov-18 22:22
Re: The Work of Hugh Franklin at the GP and Stonehenge 275 DavidK 30-Nov-18 22:45
Re: eclipse & Stonehenge 307 hendrik dirker 01-Dec-18 08:13
Re: eclipse & Stonehenge and Pi 271 DavidK 01-Dec-18 10:49
Re: eclipse & Stonehenge and Pi 233 molder 01-Dec-18 12:28
Re: eclipse & Stonehenge and Pi 252 Sirfiroth 01-Dec-18 14:25
Re: eclipse & Stonehenge and Pi 292 rodz111 01-Dec-18 18:36
Re: eclipse & Stonehenge and Pi 245 DavidK 01-Dec-18 20:53
Re: eclipse & Stonehenge and Pi 263 Sirfiroth 02-Dec-18 20:09
Re: eclipse & Stonehenge and Pi 226 DavidK 02-Dec-18 22:55
Really that dense? 234 Sirfiroth 03-Dec-18 02:29
Re: Really that dense? 233 rodz111 03-Dec-18 03:40
Re: Really that dense? 233 Sirfiroth 03-Dec-18 14:37
Re: Really that dense? 236 rodz111 04-Dec-18 03:43
Re: Really that dense? 281 Sirfiroth 04-Dec-18 05:06
Re: Really that dense? 223 DavidK 04-Dec-18 10:13
Re: Really that dense? 233 Sirfiroth 04-Dec-18 15:01
Re: Really that dense? 221 DavidK 04-Dec-18 16:17
Re: Really that dense? 243 molder 04-Dec-18 10:27
Re: Really that dense? 229 DavidK 04-Dec-18 13:06
Re: Really that dense? 276 Sirfiroth 04-Dec-18 16:42
Re: Really that dense? 242 rodz111 04-Dec-18 21:38
Re: Really that dense? 222 Sirfiroth 04-Dec-18 23:38
Re: Really that dense? 235 DavidK 05-Dec-18 00:06
Re: Really that dense? 217 rodz111 05-Dec-18 16:32
Re: Really that dense? 226 rodz111 09-Dec-18 04:17
Re: Really that dense? 296 DavidK 03-Dec-18 09:19
Re:Egyptian value for pi in GP 273 molder 05-Dec-18 21:40
Re: Re:Egyptian value for pi in GP 260 DavidK 05-Dec-18 23:01
Re: Re:Egyptian value for pi in GP 300 cloister 05-Dec-18 23:38
uhmm... every day? 247 hendrik dirker 06-Dec-18 06:42
Re: uhmmm... every day? 242 cloister 06-Dec-18 08:37
Re: uhmmm... every day? 286 hendrik dirker 06-Dec-18 09:06
Re: uhmmm... every day? 251 cloister 06-Dec-18 11:25
Re: Re:Egyptian value for pi in GP 303 DavidK 06-Dec-18 10:04
Quite Simply! 265 Sirfiroth 06-Dec-18 13:55
Re: Quite Simply! 276 DUNE 07-Dec-18 11:24
Great Assumption! 269 Sirfiroth 07-Dec-18 14:44
Re: Great Assumption! 270 DUNE 07-Dec-18 16:49
Re: Great Assumption! 284 Sirfiroth 07-Dec-18 17:52
Re: Great Assumption! 228 Thanos5150 08-Dec-18 02:28
Re: Great Assumption! 202 DUNE 08-Dec-18 09:05
Re: Great Assumption! 239 Thanos5150 08-Dec-18 15:57
Re: Great Assumption! 237 DUNE 08-Dec-18 17:51
Re: Quite Simply! 259 DavidK 07-Dec-18 14:57
Re: Quite Simply! 251 DavidK 07-Dec-18 20:27
Re: Quite Simply! 252 DUNE 07-Dec-18 22:26
Re: Quite Simply! 269 DavidK 07-Dec-18 22:37
a load of numbers under scrtutiny 349 hendrik dirker 12-Dec-18 13:30
Papyrus of Pffft.... 296 cloister 12-Dec-18 16:01
Re: Papyrus of Pffft.... 257 hendrik dirker 14-Dec-18 12:16
Re: Papyrus of Pffft.... 232 cloister 14-Dec-18 14:52
Re: Papyrus of Pffft.... 235 Dr. Troglodyte 14-Dec-18 15:30
Re: Papyrus of Pffft.... 248 hendrik dirker 15-Dec-18 06:50
Re: Papyrus of Pffft.... 258 DavidK 15-Dec-18 15:31
Re: Papyrus of Pffft.... 257 cloister 15-Dec-18 21:27
Re: Papyrus of Pffft or the pre-Columbian cultures 265 rodz111 15-Dec-18 08:54
Re: Papyrus of Pffft or the pre-Columbian cultures 248 molder 18-Dec-18 22:18
Re: a load of numbers under scrtutiny 279 DavidK 12-Dec-18 20:16
Re: a load of numbers under scrtutiny 286 DUNE 12-Dec-18 21:51
Re: a load of numbers under scrtutiny 261 cloister 12-Dec-18 22:59
Re: a load of numbers under scrtutiny 241 gjb 13-Dec-18 01:53
Re: a load of numbers under scrtutiny 291 DavidK 13-Dec-18 10:35
Re: a load of numbers under scrtutiny 229 cloister 13-Dec-18 12:22
Re: a load of numbers under scrtutiny 219 DavidK 13-Dec-18 12:39
Re: a load of numbers under scrtutiny 223 cloister 13-Dec-18 13:04
Re: a load of numbers under scrtutiny 257 gjb 13-Dec-18 12:54
440 & 280 297 hendrik dirker 13-Dec-18 06:51
Re: 440 & 280 238 hendrik dirker 21-Dec-18 11:51
Re:-Stop the World for a word... 267 rodz111 13-Dec-18 19:57
Re: Re:-Stop the World for a word... 308 hendrik dirker 14-Dec-18 06:04
Re: Re:Babylonian value for pi in GP 256 molder 08-Dec-18 05:10
Re: Re:Babylonian value for pi in GP 304 DavidK 08-Dec-18 09:15
Re: Re:Babylonian value for pi in GP 310 DUNE 08-Dec-18 15:31
Re: Re:Babylonian value for pi in GP 310 DavidK 09-Dec-18 09:53
Link to 277.777r at the GP 242 DavidK 25-Feb-19 19:37
Re: Link to 277.777r at the GP 229 DavidK 04-Mar-19 21:42
Re: Link to 277.777r at the GP and 1111.1111r 181 DavidK 22-Mar-19 20:58
Re: Link to 277.777r at the GP 183 rodz111 23-Mar-19 02:27
Re: Link to 277.777r at the GP 186 DavidK 23-Mar-19 14:44
Re: Link to 277.777r at the GP 165 rodz111 24-Mar-19 09:28
Re: Link to 277.777r at the GP 197 Thanos5150 23-Mar-19 15:03
Re: Link to 277.777r at the GP 195 rodz111 24-Mar-19 01:56
Re: Link to 277.777r at the GP 181 Thanos5150 24-Mar-19 03:32
Re: Link to 277.777r at the GP 143 rodz111 24-Mar-19 06:14
Re: Link to 277.777r at the GP 168 DavidK 24-Mar-19 13:35
closed or open mind- how to get kicked off a closed mind websire 143 DavidK 24-Mar-19 16:33
Re: closed or open mind- how to get kicked off a closed mind websire 137 rodz111 24-Mar-19 20:00
Re: closed or open mind- how to get kicked off a closed mind websire 147 DavidK 25-Mar-19 08:18
Stanton Drew 177 molder 27-Mar-19 22:14
Re: The Work of Hugh Franklin at the GP and Stonehenge 173 DavidK 28-Mar-19 07:37
Re: The Work of Hugh Franklin at the GP and Stonehenge 157 molder 29-Mar-19 10:33
Re: The Work of Hugh Franklin at the GP and Stonehenge 162 DUNE 29-Mar-19 11:16
Re: The Work of Hugh Franklin at the GP and Stonehenge 173 DavidK 29-Mar-19 13:31
Re: The Work of Hugh Franklin at the GP and Stonehenge 204 molder 29-Mar-19 20:48

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