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How to obtain the 3 modern Pi values.
There are 3 values for Pi. The first value for Pi is 3.141592653589793. The first version of Pi can be obtained if 1759.2918860102842 is divided by 560. The second version of Pi is 3.146446609406726 and can be obtained if 14 is subtracted from the Square root of 2 = 1.414213562373095 resulting in 12.585786437626905 and if 12.585786437626905 is divided by 4 then the second value of Pi 3.146446609406726 can be obtained. The third value for Pi is 3.144605511029693 and can be obtained if the Golden ratio of 1.618033988749895 that is obtained from Cosine (36) x 2 is then applied to Square root and the result = 1.272019649514069 is then 4 is divided by 1.272019649514069 resulting in the third modern value for Pi = 3.144605511029693. There is a debate among scholars regarding which version of the 3 values of Pi are better to use when dealing with circles and geometrical figures. The view of this author is that all 3 of the values of Pi are important and all the 3 values of Pi must be studied as much as possible to achieve accuracy. The 3 values of Pi 3.141592653589793 and 3.146446609406726 and 3.144605511029693 must be compared to each other so the geometrician can determine which value is best suited for the desired task.
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Squaring the circle cannot be achieved exactly with numerical digits of the 3 traditional modern values of Pi 1 - 3.141592653589793. 2 - 3.146446609406726. 3 - 3.144605511029693. The 3 modern values of Pi do not allow us to read the measure of the circumference of a circle with out an infinite amount of decimal points but the 13 known ancient approximation versions of the 3 modern values of Pi allow us to read the measure for the circumference of a circle with no decimal points as long as the measure of the circle’s diameter is divisible by 11.46 or 11.3 or 13.75 or 14 equal units or 8.9 or 39.78 or 40.74 or 12.732 or 15.91 or 21.2 or 864000 or 7920 or 12756.319. Pi is defined as the measure of a circle’s circumference divided by the diameter of the circle. The circumference of a circle can be known when Pi is multiplied by the measure for the diameter of the circle. If we want to square the circle with 100% accuracy we must use the 13 versions of Pi instead of the modern version of Pi. All the 13 ancient versions of Pi are approximations of the 3 modern values of Pi 1 - 3.141592653589793. 2 - 3.146446609406726. 3 - 3.144605511029693. The 3 Modern Pi values cannot be expressed without the result having an infinite amount of decimal places so the modern Pi values must be approximated and this is done by reducing the results that are given to us by modern Pi down to 4 or 5 decimal places and the result will be another version of the 3 modern Pi values. The circumference of a circle divided by the radius of the circle is the result of Pi being multiplied twice and this ratio is known as Tau. If Tau is multiplied by the radius of the circle then the result is the measure for the circle’s circumference. One quarter of a circle’s circumference divided by the radius of the circle is half of Pi and if half of Pi multiplied by the radius of the circle the result is 1 quarter of the circle’s circumference. The ratio Pi can also be obtained when half of a circle’s circumference is divided by the radius of the circle. The 13 ancient approximation versions of Pi are:
• 1.22 divided by 7 = 3.142857142857143.
• 2. 43.2 divided by 13.75 = 3.141818181818182.
• 3. 35.5 divided by 11.3 = 3.141592920353982.
• 4. 36 divided by 11.46 = 3.141361256544503.
• 5. 28 divided by 8.9 = 3.146067415730337.
• 6. 16 divided by 5.09295 = 3.141597698779686.
• 7. 125 divided by 39.78 = 3.14228255404726.
• 8. 50 divided by 15.91 = 3.142677561282212.
• 9. 40 divided by 12.7325 = 3.141566856469664.
• 10. 666 divided by 212 = 3.141509433962264.
• 11. 2714336 divided by 864000 = 3.141592592592593.
• 12. 24881.41 divided by 7920 = 3.141592171717172.
• 13. 40075.16 divided by 12756.319 = 3.141592805887027.

The 13 ancient approximations of Pi with whole values as much as possible:
• 1.22 divided by 7 = 3.142857142857143.
• 2. 432 divided by 137.5 = 3.141818181818182.
• 3. 355 divided by 113 = 3.141592920353982.
• 4. 3600 divided by 1146 = 3.141361256544503.
• 5. 28 divided by 8.9 = 3.146067415730337.
• 6. 16 divided by 5.09295 = 3.141597698779686.
• 7. 125 divided by 39.78 = 3.14228255404726.
• 8. 50 divided by 15.91 = 3.142677561282212.
• 9. 40 divided by 12.7325 = 3.141566856469664.
• 10. 666 divided by 212 = 3.141509433962264.
• 11. 2714336 divided by 864000 = 3.141592592592593.
• 12. 24881.41 divided by 7920 = 3.141592171717172.
• 13. 40075.16 divided by 12756.319 = 3.141592805887027

Subject Views Written By Posted
Pyramid Lego 2262 ariston 02-Jun-09 19:30
Re: Pyramid Lego 342 ariston 02-Jun-09 20:52
Re: Pyramid Lego 275 ariston 02-Jun-09 21:33
Re: 144/14.4 275 ariston 03-Jun-09 21:39
Re: 144/14.4 259 ariston 04-Jun-09 00:45
Re: a lucid proportion? 216 ariston 04-Jun-09 03:00
Re: a lucid proportion? 189 ariston 05-Jun-09 00:10
Re:Revelation Relevance 262 ariston 05-Jun-09 02:45
Re:Revelation Relevance 221 ariston 05-Jun-09 03:18
Re:Duality 254 ariston 05-Jun-09 11:12
Re:descending pass.... 257 ariston 05-Jun-09 12:48
Re:The Seven Seals and The Living Stone 276 ariston 05-Jun-09 14:32
Re:O/T~Samuel 259 ariston 06-Jun-09 00:58
Re:The Stone with 7 eyes 278 ariston 06-Jun-09 05:13
O Freunde ! 232 Modeh 06-Jun-09 09:18
Re: knights of the Golden Stone. 320 ariston 06-Jun-09 15:07
Re: Parable of the Tenants 240 ariston 06-Jun-09 22:09
Re: Parable of the Tenants 239 ariston 06-Jun-09 22:11
Re: Parable of the Tenants 256 Gary Osborn 15-Jun-09 23:14
Re: Parable of the Tenants 221 ariston 16-Jun-09 00:48
Re: 144/14.4 260 magisterchessmutt 04-Jun-09 02:02
Re: 103.7 253 ariston 04-Jun-09 02:22
Re: 103.7 298 ariston 04-Jun-09 04:11
Re: 103.7 254 ariston 04-Jun-09 05:07
Re: Fractal geo 214 ariston 04-Jun-09 05:34
Re: 103.7 194 R and M 06-Jun-09 13:17
Re: 103.7 237 ariston 06-Jun-09 15:31
Re: 103.7 238 ariston 06-Jun-09 21:26
Re: 103.7 281 magisterchessmutt 18-Jun-09 02:37
Re: 144/14.4 278 Gary Osborn 15-Jun-09 18:39
Re: 144/14.4 236 ariston 15-Jun-09 19:38
Re: 144/14.4 247 ariston 15-Jun-09 20:23
Re: 144,000 263 ariston 15-Jun-09 21:20
Re: 144,000 271 magisterchessmutt 15-Jun-09 23:10
Re: 144,000 247 ariston 16-Jun-09 01:20
Re: 144,000 260 ariston 16-Jun-09 01:27
Re: 144,000 273 magisterchessmutt 16-Jun-09 02:47
Re: 144,000 246 ariston 16-Jun-09 03:36
what about 4.40 ? 225 Joyeuse 16-Jun-09 08:11
title previous post addenda 4.40 the trivial and 440 the sublime 302 Joyeuse 16-Jun-09 08:22
Re: title previous post addenda 4.40 the trivial and 440 the sublime 241 ariston 16-Jun-09 10:16
Re: title previous post addenda 4.40 the trivial and 440 the sublime 262 Joyeuse 16-Jun-09 12:43
Re: title previous post addenda 4.40 the trivial and 440 the sublime 237 ariston 17-Jun-09 04:34
Re: Cygnus and Serpentarius. 237 ariston 17-Jun-09 04:46
Re: title previous post addenda 4.40 the trivial and 440 the sublime 238 Joyeuse 17-Jun-09 07:37
Re: what about 4.40 ? 238 Gary Osborn 16-Jun-09 10:13
Re: what about 4.40 ? 217 Joyeuse 16-Jun-09 12:54
Re: what about 4.40 ? 280 magisterchessmutt 16-Jun-09 11:46
after catch 22 there is catch 23 waiting for you 225 Joyeuse 16-Jun-09 12:56
Re: 144,000 280 ariston 16-Jun-09 14:45
L your post I answer to now is nr 52 of the thread N/T 274 Joyeuse 16-Jun-09 15:43
Re: 144,000 190 R and M 18-Jun-09 09:04
Re: 144,000 224 ariston 19-Jun-09 04:32
Re: 144/14.4 191 magisterchessmutt 15-Jun-09 22:13
I nearly fell off my chair ! 253 Andy McCallum 03-Jun-09 09:16
Re: I nearly fell off my chair ! 250 ariston 03-Jun-09 19:32
Re: I nearly fell off my chair ! 259 ariston 03-Jun-09 21:07
Re: I nearly fell off my chair ! 262 Andy McCallum 04-Jun-09 16:24
Re: Morning Star's 247 ariston 04-Jun-09 18:38
Re: Morning Star's 246 ariston 04-Jun-09 18:54
Re: Pyramid Lego 212 ariston 17-Jun-09 10:18
Re: Pyramid Lego 246 Joyeuse 17-Jun-09 19:06
Re: Pyramid Lego 196 ariston 18-Jun-09 02:47
Re: Pyramid Lego 239 ariston 18-Jun-09 03:56
Re: Pyramid Lego 275 Joyeuse 18-Jun-09 06:25
Re: Pyramid Lego 234 ariston 18-Jun-09 15:29
Re: Pyramid Lego 217 Joyeuse 18-Jun-09 15:52
Re: Pyramid Lego 192 ariston 19-Jun-09 04:12
Re: Pyramid Lego 248 Joyeuse 19-Jun-09 04:40
Jain's true value of PI : the Oz of Pi 379 Joyeuse 18-Jun-09 19:32
Re: Jain's true value of PI : the Oz of Pi 328 ariston 19-Jun-09 03:39
Re: Jain's true value of PI : the Oz of Pi 332 Liddz 21-Apr-17 14:19
Re: Jain's true value of PI : the Oz of Pi 286 Dr. Troglodyte 26-Jun-09 20:16
Re: Jain's true value of PI : the Oz of Pi 222 ariston 26-Jun-09 20:27
Re: Jain's true value of PI : the Oz of Pi 216 magisterchessmutt 26-Jun-09 21:25
Re: Jain's true value of PI : the Oz of Pi 288 ariston 26-Jun-09 21:38
Re: Jain's true value of PI : the Oz of Pi 265 magisterchessmutt 26-Jun-09 21:47
Re: Jain's true value of PI : the Oz of Pi 261 ariston 26-Jun-09 22:17
Re: Jain's true value of PI : the Oz of Pi 259 ariston 27-Jun-09 02:41
Re: Jain's true value of PI : the Oz of Pi 258 magisterchessmutt 27-Jun-09 11:45
Re: Jain's true value of PI : the Oz of Pi 256 ariston 29-Jun-09 02:02
Re: Jain's true value of PI : the Oz of Pi 153 Liddz 08-Jun-17 15:56
Re: Jain's true value of PI : the Oz of Pi 151 Liddz 08-Jun-17 15:55
Mod Caution > Cut & Paste 364 Dr. Troglodyte 08-Jun-17 16:32
Re: Jain's true value of PI : the Oz of Pi 140 Liddz 08-Jun-17 16:03

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