1083636ջѷǸޤ˺Ƥ

ջѷջѷ򤯤äĤƹͤѥΤ᤿ŪǤϤʤʤ
̤̪ 922ڡ 0:15:05 MAIL:ishizaki@qa.so-net.ne.jp 25837
ޥ
ä԰¤ʤΤʸϤǤꤹդäƤ...
PowerBook G4 922ڡ 0:19:49 MAIL:masaru-y@sansu.org HomePage:25838
ߥƥ
̣̤Ȼפޤ¿ʬġġʬäѤǤ
(1)ʬɤ餫Ѥ̤硧
36 180/7
(2)ʬĺѤ̤硧
90 108
922ڡ 0:23:58 HomePage:ߤ25839
ɤä
äĹ󡢤꤬Ȥ
922ڡ 0:24:14 25840

ĺѣ΢£äȤޤ
ĺѤԳѡľѡ߳ѡǾʬޤ
£ĤȤơ£á£ £ġĤξʿޤξˡ
£áãġ£ġĤξ硡180/7
ľդΤߤǡ
ĤȤơġģáʣģ¡ˤξΤߤǡ
­ơ1818/7٤Ȥʤޤ
顼θ 922ڡ 0:32:30 HomePage:25842
ȥȥ
󡢤äȤǤ
#25837ƱѷǸ˸Ĥޤ
ʼ˸лԡ 922ڡ 0:39:34 MAIL:h-sakai@zb3.so-net.ne.jp 25843
㡼ߡ
ߥƥƱˤǤ
촶Ǥ3äΤǤ׻̡ľդͤȤƤ뤳Ȥ˵դޤ()
922ڡ 0:43:03 MAIL:ojamaru@amber.plala.or.jp 25844
ȥȥ
οޤ˳٤ɽƤѤĺѤȿ׼ɽȤ
x,x,x,2x,2x36롡x,x,x,x,2x90롡x,x,2x,3x,2x180/7롡x,x,2x,x,2x108
ʼ˸лԡ 922ڡ 0:49:09 MAIL:h-sakai@zb3.so-net.ne.jp 25845
ҡΤ

ʤϫޤʡ
Ǹ˸ĤΤ180/7Ǥʤ

;

ʤԤ֥̾ҡΤפˤʤäƤޤޤ
ǽ鲿ͤ360Ȥ180ȤĤŷȳǤ礦ʾС
9ߤ濴 922ڡ 0:49:24 HomePage:25846
taku
Ǹ180/7Ĥޤ
ʬ׻϶Ǥ
922ڡ 0:54:55 MAIL:takuo@kcv.ne.jp 25847
Ȥ
ϰ츫ƸȤäΤǸ
ؤᤶإԥå(ؼ)42ڡ
ƱǤ򿭤ФˤäΤˤ餺
¾ޤǤäƤΤȿᤴ٤ƻǰǤ
˭ԡ 922ڡ 1:07:36 MAIL:fttnm528@ybb.ne.jp 25848

פ֤˶ľʲ񤤤Ƥߤ롣
ĺ180/7λѷߤͤͭ̾Ǥ
ǺǽˣĤϸƤĤƤޤʳ¸ߤʤȤƤߤޤ
ABCˤĤ
BCDȤAD֡
BAD=a,ABD=b,DAC=eȤ
ADB=pi-a-b,ADC=a+b,DAC=a,ACD=pi-a-b-e
ʲʸξջѷˤĤƾʬ

1, b=pi-a-b,a+b=c-e
2, b=pi-a-b,a+b=e
3, b=pi-a-b,e=pi-a-b-e
4, a=b,a+b=pi-a-b-e
5, a=b,a+b=e
6, a=b,e=pi-a-b-e
7, a=pi-a-b,a+b=e
8, a=pi-a-b,a+b=pi-a-b-e
9, a=pi-a-b,e=pi-a-b-e
ʬ롣Τ1~37~9ƱȤʤΤ1~6Ĵ٤Ф褤
ޤABCջѷˤʤ
AB=AC¨b=pi-a-b-e,CA=CB¨b=a+e,BA=BC¨a+e=pi-a-b-e
飳Ĥξ@Ȥ
1,a=-eˤŬ
2,b=pi-e,a=2e-pi
@Τ¸ߤʤ
3,b=e,a=pi-2e,b=2e¸ߤʤ
4,a=b=(pi-e)/4
BA=BCΤȤ@ΤȤa=b=e=pi/5
5,a=b=2e
AB=ACΤȤ@a=b=pi/5,e=2pi/5
BC=BAΤȤ@a=b=pi/7,e=2pi/7
6,a+e=b+e=(pi/2)
AB=ACΤȤ@a=b=pi/4,e=pi/2
ʾ
ĺѤι=36+90+108+(180/7)=1818/7

922ڡ 5:58:48 25849

1~37~9ƱȤʤΤ1~6Ĵ٤Ф褤
ޤŪ1~37~9Ʊˤʤޤ
922ڡ 6:09:31 25850
Ĺ
#25840
󡩡ʤǤ礦
Ϥޤޤġ 922ڡ 10:34:54 HomePage:åȬ25851
kasama
Ϥ褦ޤ

ȻפäƤäƤޤɤ⤦ޤޤ(^_^;Ǥ⻰ѷʬѥͤơĥǤۤɤθʤ(v_v;)
ǡץǿͷ׻ơͤŬͭé夭ޤ줿
922ڡ 11:10:41 25852
uchinyan
ϤˤϡȾλDz˻ȥθļ(äǿʤ)ǰŻDz򤭤ޤ
ޤˡ餷ΤϤʤȡϤߤĤ֤Ǥ
򸫤ơˡ36١90١108٤˵դޤ
108٤ϡäλǤ޳ѷƬ褮ꡢ֤ʡפȤǤ
ǰǧڤƥȡϡ180/7٤Ǥ餬ļǤγƮǤ (^^;
ʤΤǡջѷĺѤʬѤʬȤʬष
ǤĤλѷĤγѤĴپ夲Ȥ180/7٤˻פꡢ
֤ʤۤɤפȤǤ
ϡ礬ʤΤǡɡ36 + 90 + 108 + 180/7 = 1818/7 ١
ޤˡΤʡǡǼĤɤٶޤ
ͥνȡ 922ڡ 11:34:57 MAIL:uchi@sco.bekkoame.ne.jp 25853
uchinyan
괺ǼɤߤޤʤȤǼĤν񤭹ߤϰϤǤϡޤꤦޤˡϤʤ褦Ǥ͡
ʤޤᡢޤˤ36٤ޤỰĤޤǤϴʬäȤͤ¿褦Ǥ
εդΤФʤʤդʤäΤͤˤäư㤦Τ򤤤Ȼפޤ
ʤ180/7 ٤ߤͤͭ̾(#25849)ȤΤϻϤΤޤ褯ٶƤäʤȴ
ͥνȡ 922ڡ 12:29:16 MAIL:uchi@sco.bekkoame.ne.jp 25854
ϥ饮㡼ƥ
ͤäΤ򻲹ͤƳޤ

910Ϣ٤¿ΤͷӤޤޤ
̶彣 922ڡ 12:55:06 HomePage:ĩ25855
uchinyan
ߤء
aΤΤ줾ĺ濴ȤȾaε򤫤Ȥ,
䤽4Ĥεζ̤ʬѤ衣
Żι֤ˡȤʤͤƤߤޤΩο޷κɸΤ濴ˤơΤΰĤĺz֤
z˿ľʿ̤Ǥ̿ޤѤ z ʬФǤ֥ϥפǤ
֥ϥפȽ񤤤Τϡä顢Τʬˤʤꡢפޤ (^^;
ʥ֤ʤˡǤϡʤȤ⡢ѴؿεմؿФƤޤ͡
ϻȤȡо򤦤ޤȤäˡͤĤʤȡȤƤ⡢»ˤϲ򤱤ˤʤǤ
ȤƤϡ⡼ޥ󤵤2β3ǤȻפޤ
ΤĺդΤη̯ǡޤΩΤǤоȤΤ񤷤Ǥ
ͥνȡ 922ڡ 18:30:54 MAIL:uchi@sco.bekkoame.ne.jp 25856
ޥ
#25856
ƱͤˤƤߤޤޤäƱ褦˷ޤǯΣΤ褦оѤƳڤˤǤΤǤϡȤϤϤꤢΤǤuchiyanΤä̤ꡢդѤФΤ񤷤Ǥ...ࡣ
PowerBook G4 922ڡ 22:08:01 MAIL:masaru-y@sansu.org HomePage:25857

#25856-25857꤬Ȥޤ
>uchinyan󡢵ޥ뤵
ˡǤȵʬ(դʬ)뤳Ȥˤʤޤ
ʬ׻ͭ̾ѤФʤarc()Ǥ˽ФȤޤǰޤ
922ڡ 23:38:52 25858

#25840
¿ʬؤΡ޷ꥷ꡼ջѷʬˤ
å-βΤȤǤ礦
923ʶ 0:13:30 25859
ɤä
#25859
Exactly, you are correct.
923ʶ 11:44:29 25860

ޤʬβˤʤȤϡ
924ڡ 14:59:48 25861
ޤ륱

924ڡ 15:37:27 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱25862
ޥ
#25862
Ŧ꤬Ȥޤäޤm(__)m
PowerBook G4 924ڡ 20:46:54 MAIL:masaru-y@sansu.org HomePage:25863
⡼ޥ
ä줿
Ǹ˸ĤΤ108Τġ
ĶѤ̤ʬǤǤΤľջѷȤѤꡢȾƤǤǴäƤ褫ä
924ڡ 21:46:40 MAIL:kennji72001@yahoo.co.jp 25864
оϩ
ϡפ֤ǤоϩǤ
ʬʤơġġʬʤơġorz
֤äƤޤޤ
֥󥯤Ĺ򴶤ޤ
ǤǤ
924ڡ 22:18:55 25865
Ϥ
פ֤ˤޤ
Ԥ륷ƥäƤǤ
925 0:11:40 25866
uchinyan
ߤ󡢥ޥ뤵ء
ߤ
aΤΤ줾ĺ濴ȤȾaε򤫤Ȥ,
䤽4Ĥεζ̤ʬѤ衣
ǤϢ٤ǤޤȤޤä֤줿ΤǺƹͤƤߤޤϤʤΤǤ
V/(a^3) = (32 - 81c)/12 + sqrt(2)/4
c ϡcos(c) = 1/3, 0< c < /2 Ρ
Ȥ̤ޤ
c ȤѤʤΤäƤΤǡְäƤǽǤ
¤ϡc ϡΤĤ̤ʤ٤Ǥΰ̣ǤϡҤäȤơ ^^;
ʤߤˡϡĤʤΤǤ礦
ˡϡޤʤȡ䡢ޤƤʤʤ񤷤ΤǤݥȤ
Τĺ A, B, C, D ȤޤʤAB = a = 1 ȤƤޤ
ޤA ڤ B 濴ȤζʬѤޤϡưפʬǡV1 = 5/12 ˤʤޤ
ơ᤿ΰΤˡʿABC ʿABD ˰Ϥޤ줿ʬѤޤ
ϡ٤椫顢V2 = V1 * c/2 = 5c/24 Ǥ
ˡA 濴ˤΤʿABCʿABDʿACD ǰϤޤ줿ʬѤޤ
ϡz˿ľʿ̤ڤäơȤפޤ˺ɸ򤦤ޤȤưפˤǤơV3 = (3c - 1)/3 ˤʤޤ
(äȤ⡢ʬϡ¿ʬȤʤŤ餤Τǡ⹻٥ǤϸʡǤ⡢뤯餤λҤʤ顥)
ơǡ֤פȹͤȡݤCDβޤʬ V4 ϡV2 V3 ɽ褦˻פޤ
¤ϡ餬äȼʤǤ (^^; ¿ʬ
ΤˤϡΤ濴 O ȤơV2 ʿOCD ڤäȾʬˤΩΤȡΤ v = sqrt(2)/12 ͤȡ
V4 = 1/2 * (V2 - v) - 2/3 * (V3 - v) = 1/2 * V2 - 2/3 * V3 + 1/6 * v
κϡʿOCD ʤɤ濴 O ȳդ̤ϻĤʿ̤Τ򡢤äơΩΤ 1/4 ˤȤȤǤ͡
Ȥȡоꡢ V ϡa = 1 Ȥơ
V = 4 * 3 * V4 + v = 6 * V2 - 8 * V3 + 3 * v = 6 * 5c/24 - 8 * (3c - 1)/3 + 3 * sqrt(2)/12 = (32 - 81c)/12 + sqrt(2)/4
ʤV2V3 ʬȤäƤޤδ֤ε̻ѷѤδͤΤȤ˻Ȥä̾δؤȤȡ
ʬʤǡ줳äݤޤ
󡢵̾δؤϹ⹻Ǥ⽬ʤΤǡͤϻǤ⡢ºݤˤإ٥ˤʤäƤޤޤ
ͥνȡ 925 16:02:44 MAIL:uchi@sco.bekkoame.ne.jp 25867

uchinyan󡡤꤬Ȥޤ
޽ۤ˺ԤäƤΤǤشطνʪĴ٤Ƥ餳ȯޤ
缭ŵζʬäȻפޤˤޤ
ͤ㤤ƽФƤΤǤ֥륫ȤƤ뤫餳ϸȤϻפΤǤ
ʲܤƤ򤶤äȽ񤭤ޤ

/a^3
=Τ+4*pi(1-x^2)dxsqrt(2)/12)+4(18-7sqrt(6))pi/27
sqrt(6)/3x1
Amer,Math.Monthly,Vol.16(1909)β274餷Ǥ

uchinyanβϺޤʤ鸫Ƥޤ
⤦Ƥ񤭤ޤ

925 20:29:22 25868

ߤޤ
/a^3
=Τ+4*pi(1-x^2)dx=sqrt(2)/12)+4(18-7sqrt(6))pi/27
sqrt(6)/3x1
Amer,Math.Monthly,Vol.16(1909)βCalculus 274
925 20:32:21 25869
uchinyan
#25868#25869
ߤ󡢤꤬Ȥޤ
ࡢϤꡢβϰäƤޤ͡ΤʤäդβɾäƤΤȻפޤ
֤򸫤Ĥơ⤦ͤƸޤ

äɲá
ȻפͤǤɤǸ褦ʵʡȻפä顢
z ˿ľʿ̤ڤäʬΡ˷׻ǤʬǤ
ȤȤϡʣǤʤʤ׻Ǥˤʤʬ 0 ˤʤΤ
ۥȤʤ
Ǥ⤽ȡߤθȤꡢ֥륫ȤʬꤽʵΤɡ
Ȥ⡢䤬Ū礭ʴ㤤򤷤ƤơʣʬʬϽФƤʤΤʡ
ͥνȡ 925 21:21:26 MAIL:uchi@sco.bekkoame.ne.jp 25870

uchinyan󡡤꤬Ȥޤ
ԡƤޤܤˤդɾޤ
֥륫Ȥβǽ񤤤ƤޤΤ̯Ȼפޤ
缭ŵ޴/P463/122
925 21:40:11 25871
uchinyan
ߤ¾γء
ΤεζʬѤǤǤϡ򤫤ʬʤɤˤⵤˤʤäƻŻˤĤʤΤǡ
ޤϡݤʤǤȯߥ졼ѤζͤƤߤޤ
ϡ롢ƥߥ졼ǡ߼Ψη׻ʤɤǻѤˡǤ
ñˡȤơΩΤʤĤ褦ΩΤŬꤷγǤơ
Ωˤ뤫ɤơΩˤΨޤ
ΩΤѤϡγΨ˸ΩΤѤ򤫤жŪ˵ޤޤ
ʲץǤ

REM ΤΰդĹ
REM 1
REM ΤλͤĤĺκɸ
REM A(sqrt(2)/4, sqrt(2)/4, sqrt(4)/2)
REM B(-sqrt(2)/4, -sqrt(2)/4, sqrt(4)/2)
REM C(-sqrt(2)/4, sqrt(2)/4, -sqrt(4)/2)
REM D(sqrt(2)/4, -sqrt(2)/4, -sqrt(4)/2)
REM ߥ졼ΰ衧
REM Τγĺ濴ȤȾ 1 ε夬ΰ
REM ϰդĹ 3 dzդɸʿϿľ濴ˤΩ

RANDOMIZE
LET n = 100000000

FUNCTION S1(x,y,z)
LET S1 = (x - SQR(2)/4)^2 + (y - SQR(2)/4)^2 + (z - SQR(2)/4)^2 - 1
END FUNCTION
FUNCTION S2(x,y,z)
LET S2 = (x + SQR(2)/4)^2 + (y + SQR(2)/4)^2 + (z - SQR(2)/4)^2 - 1
END FUNCTION
FUNCTION S3(x,y,z)
LET S3 = (x + SQR(2)/4)^2 + (y - SQR(2)/4)^2 + (z + SQR(2)/4)^2 - 1
END FUNCTION
FUNCTION S4(x,y,z)
LET S4 = (x - SQR(2)/4)^2 + (y + SQR(2)/4)^2 + (z + SQR(2)/4)^2 - 1
END FUNCTION

LET L = 3
LET V = L^3
LET c = 0
FOR i = 1 TO n
LET x = L * RND - L/2
LET y = L * RND - L/2
LET z = L * RND - L/2
IF (S1(x,y,z) <= 0) AND (S2(x,y,z) <= 0) AND (S3(x,y,z) <= 0) AND (S4(x,y,z) <= 0) THEN
LET c = c + 1
END IF
IF MOD(i,100000) = 0 THEN
PRINT i; ":"; c/i * V
END IF
NEXT i
PRINT "ߥ졼"; c/n * V
PRINT "缭ŵ͡"; SQR(2)/12 + 4 * (18 - 7 * SQR(6))/27 * PI
PRINT "uchinyanβ͡"; (32 - 81 * ACOS(1/3)/PI)/12 * PI + SQR(2)/4
END

׻̤ϡΤΰդ 1 Ȥ硢" : " ǡ

100000 : .44145
200000 : .43389
300000 : .43335
400000 : .4292325
500000 : .430218
600000 : .42633
700000 : .424902857142857
800000 : .4249125
900000 : .42507
1000000 : .426222
.......... (άʲƱ͡)
10000000 : .4230414
..........
20000000 : .42205455
..........
30000000 : .4221234
..........
40000000 : .422310375
..........
50000000 : .42228216
..........
60000000 : .4220946
..........
70000000 : .421936714285714
..........
80000000 : .421904025
..........
90000000 : .4219551
..........
100000000 : .42205563
ߥ졼 .42205563
缭ŵ͡ .515121485430053
uchinyanβ͡ .422157733115827

ˤȡ̣Ƕ̤Ǥ#25867ϡʴǤ
ͥνȡ 926ʷ 15:51:00 MAIL:uchi@sco.bekkoame.ne.jp 25872
ˤ
ĺѤ٤λʬλ̤ꤢ롣
¾λϣ̤ǤפǤǤ礦
927ʲС 19:23:41 25873
ˤ
оͤȡʹͤޤǤʤ
ϼʼǤäޤ
927ʲС 19:34:37 25874
⡼ޥ
ϴñȤ⤤ΨߤǤ͡

طʤǤ©ȴͧͤС

A={0123456789}ȤȤ
ξ1ˡ2ˤAʬSϲĤ뤫
1SǤϣ
2Sʤ2ĤǤФ¤ꡢ
1ΰ̤ͤȡ09ޤǤο٤Ƹ롣

927ʲС 22:56:33 MAIL:kennji72001@yahoo.co.jp 25875

˺ƤޤˤΤäƤȤKʬΤۤ˥ӥåǤ
928ʿ 0:16:12 25876

˺ƤޤˤΤäƤȤKʬΤۤ˥ӥåǤ
928ʿ 0:16:17 25877
weapon
>>25875
0
928ʿ 12:00:08 25878
⡼ޥ
#25878
weapon 󡢤
ͧͤϤΤ褦ʰϰäƤǤ͡
928ʿ 23:48:06 MAIL:kennji72001@yahoo.co.jp 25879