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ѵʵͧPi(Ҥѵǹǧ)

ѡ ѭѡɳѡԵʵѧɪ William James 繤á㹻 .. 2249 ͺ͡ѵǹҧͺǧѺ鹼ٹҧͧǧǧ Leonard Euler ѡԵʵҵѭѡɳ ա㹡á˹ѵǹѧ㹻 .. 2280 ѡԵʵš 繵 ءѹ դ 3.1415926535897932384626433832795028841..............

ѵʵ֡ҹѡԵʵǺҺŹ¾ҤҢͧ 繤á ͻҳ 4,000 龺 դһҳ 3 ǹѡԵʵԻҵ龺 դһҳ 256/81 = 3.1704938 Ͷ֧ؤͧ Archimedes 繹ѡԵʵ˭شͧš 2,000 ա͹ ҹ¤ӹdzҤҢͧ 蹡ѹ Ըҧٻ 96 ҹŧǧ Ѵͺٻͧٻ 96 ҹҹ ҡ鹡Ҥ鹼ٹҧͧǧäͺٻѴ Archimedes 龺 դҡ 3 10/71 ¡ 3 1/7 Archimedes ֧ҳ դ 3.1406

㹻 .. 693 Claudius Ptolemy ͧ Alexandria ҧٻ 360 ҹǧ ͤӹdz §ҹšäӹdz˹ѧ Almagest դһҳ 3.1416

ǹ Tsu Chung-Chik ѡԵʵҵԨչӹdz 蹡ѹ о㹻 .. 1023 դ 335/113 = 3.141592 92 Bhaskara ѡԵʵҵԹ¡龺㹻 .. 1693 = 3927/1250 = 3.1416

ҹ鹤ǡѺҢͧ ǹѺûա˹㹾طȵɷ 21 Francois Viete 觽 Ըբͧ Archimedes ҧٻ 393,216 ҹҺèŧǧǤӹdz ҡ龺 = 3.14159265358979323 ǹ Ludolph Van Ceulen Ź 龺 ҡҧٻ 4.61 ҹҹҹҹŧǧ դҶ١֧ͧȹ˹觷 315 觵Ţ 315 Ƿ Ceulen ӹdz١§֡ѧȾͧ ҵ

ҹӹdzҤ ժԵա˹ Isaac Newton ҧԪŴʢ㹡ҤҢͧ 龺 = 4 (1-1/3+1/5-1/7+1/9-1/11+1/13-1/15.....) ٵ÷ Newton ¹ԸҤҢͧ ҡҧٻҹԸաúǡźǹ᷹ ͨҡԸâҤԵԸվժԵ Ըա蹹Ҩл԰ жҵͧҢͧ ١֧ͧȹ˹觷ͧ ҵͧǡ źҧ ֧ 50 жҵͧäҷ١֧ͧȹ˹觷 ҵͧŢҡ֧ 500 繵 жҵͧä١֧ͧȹ˹觷 ҡͧǡ źŢӹǹҹҹҹ ͧдǡ ֧й鹹ѡԵʵѺԸҤҢͧ ʺ Ըչ աԸҡ

㹻 .. 2242 Abicham Sharp ԪŴʤӹdzҤҢͧ ١֧ͧȹ˹觷 72 ա 7 յ John Machin 龺ٵ = 4 (arctan (1/5)-arctan (1/239)) СٵùҤ ١֧ͧȹ˹觷 100 㹻 .. 2490 J.W. Wrench ѡԵʵԡѹӹdz ١֧ͧȹ˹觷 808

Ͷ֧ .. 2492 äӹdzҤ ¹ ͧ͡ѾͧѰ ͧ ENIAC ӹdz ȹ١֧ͧ 2,037 ˹ ҹҹ 70 ෤դѺþѲҡ äӹdz 觶١ͧ´ҡ 㹻 .. 2538 Yasumasa Kanada Է ӹdz ֧ȹ˹觷 4,294,960,000 龺ҵŢȹ˹觷 4 ѹҹ Ţ 9 Ţ 4375343..... ѧࡵ˹觷 Kanada Ѻ龺 ҡŢ 4 ѹҹŢ Ţ 6 ҡ¤駷ش 400,033,035 Ţ 2 ҡ¤駷ش 399,965,405

㹻 .. 2542 Y.Kanada źʶԵԢͧͧ һС ӹdz ١֧ͧȹ˹觷 206,158,430,000 ԸաͧٻẺᵡҧѹ ¤ͧ˹ҹҹ 37 աͧ˹ 46 šäӹdzʴ Ţȹ˹觷 206,158,430,000 蹤Ţ 4

Ӷ˹觷褹仵ͧӵͺ ˵֧ͧ෤ (зѾԹ) 㹡Ҥ شȹ´֧ҹҹҹ...˹ ҹѡԡͧè颹Ҵͧѡ § ըشȹ§ 40 ˹ ҡö颹ҴѧҧԴҴԹ 0.000000001 繵ͧŢ´֧ͧʹҹҹ˹觷ȹ

ӵͺ ѡԸդӹdz 㹡÷ͺԷҾ÷ӧҹͧ 㹡Ҥ ١֧ͧȹ˹觷ʹҹѡ ͧӧҹҹҹ鹵͹ҧԴҴ Фͧ㴷öӧҹҹҹ 鹵͹ҧԴҴ¹ Ѻ¡ͧ繤Ǵҧԧ

ǹѡԵʵͧդʹ㨷֡Ҵ ҡŢشȹҡ͡ҹҹҹ...Ţ Ţ 0, 1, 2, 3.....9 ҡǺ¤ҡѹ еŢҹٻẺûҡҨӷȹ˹ 繵 աþ Ţش 314159 ҡ§ѹ 6 㹺ôŢ 710,000 á 繵

жҾԨóҴ٤Ңͧ ա ҡ Ţ 3.14159265... ʴҵŢҧ ҡٻẺ͹ Ţ 1 ǵ 4, 1, 5 9...Ţҹҡҧл ҧ駡 3 2 9 ҡ 8...觹ѡԵʵ¡ѡɳСûҡ蹹 (random) ѧ ҹѡԵʵ ŢҹաáШѴШẺ 蹡¤ ֧ҨŢءǢй ҡö͡ Ţǵ仨繵Ţ

ѡԵʵǹҡŢȹͧ Ţ ö٨ ѹŢҧԧʹ 900 շҹ

͹ԧҤҹҹ Richard Crandall Reed College David Bailey Lawrence Berkeley National Laboratory Ѱԡ§ҹ Experimental Mathematics xn = (2xn-1+1/n) mod1 x0 = 0 x1 = 0, x2 = 1/2, x3 = 1/3, x4 = 11/12, x5=1/30 x6 = 7/30, x7 = 64/105, x8 = 289/840...觵Ţҹ log2 = 0.6931471805599453...

¡ʹٵ蹹 Bailey Crandall ֧繼辺Ըվ٨Ţȹͧ log2 Ţ С駤ѧ餹 ෤Ԥþ٨Ҿͧ 礧öз蹡ѹ ҡö dynamical map ͧͧѺѹ ѧ㹡óբͧ log2

Ѻ ҡѧҧҹԨҤ Թա зȹ˹ش Ѵ Ţش¢ͧ жѹ繵Ţ ҹԨ֧ͧ繧ҹ

: طȹ ¡ҹ
šԷҡ ˹ѧ;Ѵ Ҥ


Create Date : 30 ԧҤ 2549
Last Update : 30 ԧҤ 2549 12:40:30 . 15 comments
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ͺسѺѺͤ
ҡҹػҤ Pi ѧش 22/7
繤ҷ§ѹѺҨԧ
֧Ҩԧѧػ͹(֧Ѻҹҹ˹ѹԹѺҹԧ -*-)
Ͷ֧͹ҤҨоúҧҧö٨觷͹ö͸Ժҧ͹


: Ť IP: 202.28.179.12 ѹ: 31 ԧҤ 2549 :9:27:21 .  

 
ҹդѺ
ҡǨͺç
= 4 (arctan (1/5)-arctan (1/239))
ͧԴ§¤Ѻ ٵâҧҧѧ§
= 4 (4 (arctan (1/5)) - arctan (1/239))


: freefeel IP: 124.120.186.129 ѹ: 1 ѹ¹ 2549 :19:36:26 .  

 
ҹͧ.1 ǹ֡ Pi = 22/7

ͺس.Ѻ Ѻ


: redistuO IP: 124.121.173.228 ѹ: 2 ѹ¹ 2549 :16:00:18 .  

 
դѺ


: ١ͧ IP: 124.121.162.236 ѹ: 4 ѹ¹ 2549 :21:31:43 .  

 
ҡѺ


: ʧ IP: 58.147.92.125 ѹ: 2 Ȩԡ¹ 2549 :0:24:03 .  

 
ͺسѺҹ
д
˹ҷҷȹ騺
ҡԧ ҤҾ·շȹҡ价ѹ
ҡ


: dewze IP: 58.137.30.254 ѹ: 20 Զع¹ 2550 :12:17:48 .  

 
ҡ


: taw෾觹☻‼↔ IP: 124.121.144.220 ѹ: 23 Ȩԡ¹ 2550 :20:32:49 .  

 
ҡз§ҹʺ¤


: Kukku IP: 203.151.243.27 ѹ: 1 ѹҤ 2550 :12:39:35 .  

 
ͺسҡ


: --------- IP: 125.24.107.77 ѹ: 8 ѹҤ 2550 :10:12:59 .  

 
ͺعҡ

ѺŴФ



: +++++ IP: 61.91.160.35 ѹ: 23 Ҥ 2551 :18:53:28 .  

 
ͺسѺŤѺ


: eddy IP: 125.26.85.207 ѹ: 2 Զع¹ 2551 :21:27:26 .  

 
ͺسҤѺ

ͺسҡ^^


: Mung_Kwan (^.^) IP: 222.123.166.88 ѹ: 14 Զع¹ 2551 :17:18:04 .  

 
-0-


: 11 IP: 124.121.131.246 ѹ: 17 áҤ 2551 :14:01:25 .  

 
ͺس


: IP: 202.28.169.166 ѹ: 22 Ȩԡ¹ 2551 :0:47:53 .  

 
Thank


: Messi IP: 117.47.27.91 ѹ: 31 ԧҤ 2552 :20:12:06 .  

:
Comment :
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